{"id":4224,"date":"2025-01-11T09:40:23","date_gmt":"2025-01-11T08:40:23","guid":{"rendered":"https:\/\/spgoo.org\/?page_id=4224"},"modified":"2025-09-04T19:15:15","modified_gmt":"2025-09-04T17:15:15","slug":"densite-normale","status":"publish","type":"page","link":"https:\/\/spgoo.org\/?page_id=4224","title":{"rendered":"Densit\u00e9 Normale"},"content":{"rendered":"<title>[Densit\u00e9 de probabilit\u00e9 continues]<\/title>\r\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex\/dist\/katex.min.js\"><\/script>\r\n<link href=\"https:\/\/cdn.jsdelivr.net\/npm\/katex\/dist\/katex.min.css\" rel=\"stylesheet\">\r\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/jsxgraph\/distrib\/jsxgraphcore.min.js\"><\/script> \r\n<script src=\"https:\/\/jsxgraph.org\/distrib\/JessieScript.js\"><\/script>  \r\n<script>\r\nwindow.MathJax = {\r\n  tex: {\r\n    inlineMath: [ ['$','$'], [\"\\\\(\",\"\\\\)\"] ],\r\n    displayMath: [ ['$$','$$'], [\"\\\\[\",\"\\\\]\"] ],\r\n    packages: ['base', 'ams']\r\n 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12px;\r\n  text-align: center;\r\n}\t\r\n\t\r\n  #box1 {\r\n      width: 600px;\r\n      height: 400px;\r\n      position: relative;\r\n  }\r\n  .input-box {\r\n      position: absolute;\r\n      top: 10px;\r\n      left: 10px;\r\n      background: rgb(240,248,255);\r\n      padding: 10px;\r\n      border-radius: 5px;\r\n     box-shadow: 10px 5px 5px  rgba(0, 0, 0, 0.2);\r\n  }\r\n  .input-box input {\r\n      width: 50px;\r\n      margin: 2px;\r\n  }\r\n\tlabel {\r\n\t\tcolor:#00c2a9;\r\n\t\tfont-family: \"KaTeX_Math\"; \r\n\t}\r\n\th2 {\r\n\t\tfont-family: \"KaTeX_Math\"; \r\n\t\ttext-align :center;\r\n\t}\t\r\n\t\r\n\r\n.fen_arrondie {\r\n  border-bottom: 1px solid #ddd;\r\n  -webkit-border-top-left-radius: 10px;\r\n  -moz-border-radius-topleft: 10px;\r\n  -ms-border-radius-topleft: 10px;\r\n  border-top-left-radius: 10px;   \r\n\t\r\n  -webkit-border-top-right-radius: 10px;\r\n  -ms-border-top-right-radius: 10px;\r\n  -moz-border-radius-topright: 10px;\r\n  border-top-right-radius: 10px;\t\r\n\t\r\n  -webkit-border-bottom-right-radius: 10px;\r\n  -ms-border-bottom-right-radius: 10px;\r\n  -moz-border-radius-bottomright: 10px;\r\n  border-bottom-right-radius: 10px;\t\r\n\t\r\n  -webkit-border-bottom-left-radius: 10px;\r\n  -ms-border-bottom-left-radius: 10px;\r\n  -moz-border-radius-bottomleft: 10px;\r\n  border-bottom-left-radius: 10px;\t\t\t\r\n}\t\r\n\t\r\n<\/style>\r\n\r\n\r\n<div class=\"row\">\r\n\t<div class=\"col-sm-12\" style=\"display:flex;justify-content:space-around;\">\r\n\t\t<label>Loi Normale<input style=\"margin:2px;\" type=\"checkbox\" onclick=\"chargement_densite();\" id=\"CHK_normale\" checked\/><\/label> \r\n\t\t<label>Loi Exponentielle<input style=\"margin:2px;\" type=\"checkbox\" id=\"CHK_expo\" onclick=\"chargement_densite();\"  \/> <\/label>\r\n\t\t<label>Loi Uniforme<input style=\"margin:2px;\" type=\"checkbox\" id=\"CHK_unif\" onclick=\"chargement_densite();\"  \/> <\/label>\r\n\t\t<label>Loi Gamma<input style=\"margin:2px;\" type=\"checkbox\" id=\"CHK_gamma\" onclick=\"chargement_densite();\"  \/> <\/label>\r\n\t\t<label>Loi de Cauchy<input style=\"margin:2px;\" type=\"checkbox\" id=\"CHK_cauchy\" onclick=\"chargement_densite();\"  \/> <\/label>\r\n\t\t<label>Loi du Chi2<input style=\"margin:2px;\" type=\"checkbox\" id=\"CHK_chi2\" onclick=\"chargement_densite();\"  \/> <\/label>\r\n\t\t<label>Loi de Fr\u00e9chet<input style=\"margin:2px;\" type=\"checkbox\" id=\"CHK_frechet\" onclick=\"chargement_densite();\"  \/> <\/label>\r\n\t\t<label>Loi de Gumbel<input style=\"margin:2px;\" type=\"checkbox\" id=\"CHK_gumbel\" onclick=\"chargement_densite();\"  \/> <\/label>\r\n\t<\/div>\r\n\t<div class=\"col-sm-12\" style=\"display:flex;justify-content:space-around;\">\r\n\t\t<label>Loi du Voigt<input style=\"margin:2px;\" type=\"checkbox\" id=\"CHK_voigt\" onclick=\"chargement_densite();\"  \/> <\/label>\r\n\t\t<label>Loi de Fisher<input style=\"margin:2px;\" type=\"checkbox\" id=\"CHK_fisher\" onclick=\"chargement_densite();\"  \/> <\/label>\r\n\t\t<label>Loi Hyperbolique<input style=\"margin:2px;\" type=\"checkbox\" id=\"CHK_hyperbolique\" onclick=\"chargement_densite();\"  \/><\/label> \r\n\t\t<label>Loi de Laplace<input style=\"margin:2px;\" type=\"checkbox\" id=\"CHK_laplace\" onclick=\"chargement_densite();\"  \/> <\/label>\r\n\t\t<label>Loi du Weibull<input style=\"margin:2px;\" type=\"checkbox\" id=\"CHK_weibull\" onclick=\"chargement_densite();\"  \/> <\/label>\r\n\t\t<label>Loi de Student<input style=\"margin:2px;\" type=\"checkbox\" id=\"CHK_student\" onclick=\"chargement_densite();\"  \/> <\/label>\r\n\t\t<label>Loi LogNormale<input style=\"margin:2px;\" type=\"checkbox\" id=\"CHK_lognormale\" onclick=\"chargement_densite();\"  \/><\/label>\t\r\n\t<\/div>\r\n\t\r\n<\/div>\r\n<div class=\"row\">\t\r\n\t<div class=\"col-sm-12\">\r\n\t\t<div class=\"row\">\r\n\t\t\t<div class=\"col-sm-12 \" id=\"densite_normale\" style=\"text-align:center;margin:10px\">\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<h2 style=\"text-align:center;font-family:KaTeX_Math\">Loi Normale<\/h2>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<div class=\"col-sm-3\" id=\"info_normale\">\r\n<label class=\"extension\">Support\t$\\mathbb {R}$<\/label><br\/>\r\n<label class=\"extension\">Densit\u00e9 de probabilit\u00e9\t${\\frac {1}{\\sigma {\\sqrt {2\\pi }}}}\\;\\exp \\left(-{\\frac {\\left(x-\\mu \\right)^{2}}{2\\sigma ^{2}}}\\right)$<\/label><br\/>\r\n<label class=\"extension\" style=\"cursor:pointer;\"  onclick=\"trace_repartition_normale('normale_repartition')\">Fonction de r\u00e9partition\t${\\frac {1}{2}}\\left(1+\\mathrm {erf} \\left({\\frac {x-\\mu }{\\sigma {\\sqrt {2}}}}\\right)\\right)$<\/label><br\/>\r\n<label class=\"extension\">Esp\u00e9rance\t$\\mu$<\/label><br\/>\r\n<label class=\"extension\">M\u00e9diane\t$\\mu$<\/label><br\/>\r\n<label class=\"extension\">Mode\t$\\mu$<\/label><br\/>\r\n<label class=\"extension\">Variance\t$\\sigma ^{2}$<\/label><br\/>\r\n<label class=\"extension\">Asym\u00e9trie\t0<\/label><br\/>\r\n<label class=\"extension\">Kurtosis normalis\u00e9\t0<\/label><br\/>\r\n<label class=\"extension\">Entropie\t$\\ln \\left(\\sigma {\\sqrt {2\\,\\pi \\,{\\rm {e}}}}\\right)$<\/label><br\/>\r\n<label class=\"extension\">Fonction g\u00e9n\u00e9ratrice des Moments\t${\\displaystyle \\exp \\left(\\mu \\,t+{\\frac {\\sigma ^{2}t^{2}}{2}}\\right)}$<\/label><br\/>\r\n<label class=\"extension\">Fonction caract\u00e9ristique\t${\\displaystyle \\exp \\left(\\mu \\,{\\rm {i}}\\,t-{\\frac {\\sigma ^{2}t^{2}}{2}}\\right)}$<\/label><br\/>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<div class=\"col-sm-9\">\r\n\t\t\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t\t\t<div class=\"grid-classes fen_arrondie\">\t\t\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" >\r\n\t\t\t\t\t\t\t\t\t<div id=\"box_normale\" class=\"jxgbox fen_arrondie\" style=\"width:800px; height:400px;\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" id=\"box_normale_repartition\">\r\n\t\t\t\t\t\t\t\t\t<div  id=\"normale_repartition\" style=\"width:800px;height:400px;\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_expo_fct_moments\">\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_expo_fct_caract\" >\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\t\t\t\t\t\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>\r\n\t\t\t<div class=\"col-sm-12 \" id=\"densite_expo\" style=\"display:none;text-align:center;;margin:10px\" >\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<h2 style=\"font-family:KaTeX_Math\">Loi exponentielle<\/h2>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<div class=\"col-sm-3\" id=\"info_normale\">\r\n\t\t\t\t\t\t<label class=\"extension\">Support[0,$\\infty$[<\/label><br\/>\r\n\t\t\t\t\t\t<label class=\"extension\">Densit\u00e9 de probabilit\u00e9 $\\lambda\\mathrm{e}^{-\\lambda x}$<\/label>\r\n\t\t\t\t\t\t<label class=\"extension\" style=\"cursor:pointer;\"  onclick=\"trace_repartition_expo('expo_repartition')\">Fonction de r\u00e9partition $1-\\mathrm {e} ^{-\\lambda x}$<\/label><br\/>\r\n\t\t\t\t\t\t<label class=\"extension\">Esp\u00e9rance ${\\dfrac {1}{\\lambda}}$<\/label><br\/>\r\n\t\t\t\t\t\t<label class=\"extension\">M\u00e9diane ${\\dfrac {\\ln(2)}{\\lambda }}$<\/label><br\/>\r\n\t\t\t\t\t\t<label class=\"extension\">Mode\t$0$<\/label><br\/>\r\n\t\t\t\t\t\t<label class=\"extension\">Variance\t${\\dfrac {1}{\\lambda ^{2}}}$<\/label><br\/>\r\n\t\t\t\t\t\t<label class=\"extension\">Asym\u00e9trie $2$<\/label><br\/>\r\n\t\t\t\t\t\t<label class=\"extension\">Kurtosis normalis\u00e9 $6$<\/label><br\/>\r\n\t\t\t\t\t\t<label class=\"extension\">Entropie\t$1-\\ln(\\lambda)$<\/label><br\/>\r\n\t\t\t\t\t\t<label class=\"extension\">Fonction g\u00e9n\u00e9ratrice des Moments\t$\\left(1-{\\dfrac {t}{\\lambda }}\\right)^{-1}$<\/label><br\/>\r\n\t\t\t\t\t\t<label class=\"extension\">Fonction caract\u00e9ristique\t$\\left(1-{\\dfrac {\\mathrm {i} t}{\\lambda }}\\right)^{-1}$<\/label><br\/>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<div class=\"col-sm-9\">\r\n\t\t\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t\t\t<div class=\"grid-classes fen_arrondie\">\t\t\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" >\r\n\t\t\t\t\t\t\t\t\t<div id=\"box_expo\" style=\"width:800px; height:400px;\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" id=\"box_expo_repartition\">\r\n\t\t\t\t\t\t\t\t\t<div  id=\"expo_repartition\" style=\"width:800px;height:400px;\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_expo_fct_moments\">\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_expo_fct_caract\" >\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>   <!--fin de paragraphe exponentiel -->\r\n\t\t\t<div class=\"col-sm-12 \" id=\"densite_unif\" style=\"display:none;text-align:center;;margin:10px\" >\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<h2 style=\"font-family:KaTeX_Math\">Loi uniforme<\/h2>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<div class=\"col-sm-3\" id=\"info_normale\">\r\n\t\t\t\t\t\r\n<!-- {\\begin{cases}0&{\\text{pour }}x<a\\\\{\\frac {x-a}{b-a}}&{\\text{pour }}a\\leq x<b\\\\1&{\\text{pour }}x\\geq b\\end{cases}} -->\t\t\t\t\r\n<label class=\"extension\">Support[a,b]<\/label><br\/>\r\n<label class=\"extension\">Densit\u00e9 de probabilit\u00e9 ${\\begin{cases}{\\frac {1}{b-a}}&#038;{\\text{pour }}a\\leq x\\leq b\\\\0&#038;{\\text{pour }}x\\lt a{\\text{ ou }}x\\gt b\\end{cases}}$<\/label><br\/>\r\n<label class=\"extension\">Fonction de r\u00e9partition ${\\begin{cases}0&#038;{\\text{pour }}x\\lt a\\\\{\\frac {x-a}{b-a}}&#038;{\\text{pour }}a\\leq x\\lt b\\\\1&#038;{\\text{pour }}x\\geq b\\end{cases}}$<\/label><br\/>\r\n\r\n<label class=\"extension\">Esp\u00e9rance ${\\frac {a+b}{2}}$<\/label><br\/>\r\n<label class=\"extension\">M\u00e9diane ${\\frac {a+b}{2}}$<\/label><br\/>\r\n<label class=\"extension\">Mode toute valeur dans ${\\text{toute valeur dans }[a,b]}$<\/label><br\/>\r\n<label class=\"extension\">Variance\t${\\frac {(b-a)^{2}}{12}}$<\/label><br\/>\r\n<label class=\"extension\">Asym\u00e9trie $0$<\/label><br\/>\r\n<label class=\"extension\">Kurtosis normalis\u00e9 $-{\\frac {6}{5}}$<\/label><br\/>\r\n<label class=\"extension\">Entropie\t$\\ln(b-a)$<\/label><br\/>\r\n<label class=\"extension\">Fonction g\u00e9n\u00e9ratrice des Moments\t${\\frac {{\\rm {e}}^{tb}-{\\rm {e}}^{ta}}{t(b-a)}}$<\/label><br\/>\r\n<label class=\"extension\">Fonction caract\u00e9ristique\t${\\frac {{\\rm {e}}^{{\\rm {i}}tb}-{\\rm {e}}^{{\\rm {i}}ta}}{{\\rm {i}}t(b-a)}}$<\/label><br\/>\t\t\t\t\t\t\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<div class=\"col-sm-9\">\r\n\t\t\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t\t\t<div class=\"grid-classes fen_arrondie\">\t\t\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" >\r\n\t\t\t\t\t\t\t\t\t<div id=\"box_unif\" style=\"width:800px; height:400px;\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" id=\"box_unif_repartition\">\r\n\t\t\t\t\t\t\t\t\t<div  id=\"unit_repartition\" style=\"width:800px;height:400px;\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_moments\">\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_caract\" >\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>   <!--fin de paragraphe exponentiel -->\r\n\t\t\t<div class=\"col-sm-12 \" id=\"densite_gamma\" style=\"display:none;text-align:center;;margin:10px\" >\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<h2 style=\"font-family:KaTeX_Math\">Loi gamma<\/h2>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<div class=\"col-sm-3\" id=\"info_gamma\">\r\n\t\t\t\t\t\r\n\r\n<label class=\"extension\">Support ${x\\in [0,+\\infty [}$<\/label><br\/>\r\n<label class=\"extension\">Densit\u00e9 de probabilit\u00e9 ${{\\frac {x^{k-1}\\mathrm {e} ^{-{\\frac {x}{\\theta }}}}{\\Gamma (k)\\theta ^{k}}}}$<\/label><br\/>\r\n<label class=\"extension\">Fonction de r\u00e9partition ${{\\frac {\\gamma (k,x\/\\theta )}{\\Gamma (k)}}}$<\/label><br\/>\r\n<label class=\"extension\">Esp\u00e9rance ${k\\theta}$<\/label><br\/>\r\n<label class=\"extension\">M\u00e9diane ${pas d&#8217;expression formelle}$<\/label><br\/>\r\n<label class=\"extension\">Mode ${(k-1)\\theta \\,} pour k\\geq 1\\}$<\/label><br\/>\r\n<label class=\"extension\">Variance\t${k\\theta ^{2}}$<\/label><br\/>\r\n<label class=\"extension\">Asym\u00e9trie ${\\frac {2}{\\sqrt {k}}}$<\/label><br\/>\r\n<label class=\"extension\">Kurtosis normalis\u00e9 ${{\\frac {6}{k}}}$<\/label><br\/>\r\n<label class=\"extension\">Entropie\t$k\\theta +(1-k)\\ln(\\theta )+\\ln(\\Gamma (k))\\ +(1-k)\\psi (k)\\,$<\/label><br\/>\r\n<label class=\"extension\">Fonction g\u00e9n\u00e9ratrice des Moments ${(1-\\theta \\,t)^{-k} pour~t\\gt 1\/\\theta}$<\/label><br\/>\r\n<label class=\"extension\">Fonction caract\u00e9ristique ${\\left(1-\\mathrm {i} \\theta t\\right)^{-k}}$<\/label><br\/>\t\t\t\t\t\t\r\n \t\t\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<div class=\"col-sm-9\">\r\n\t\t\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t\t\t<div class=\"grid-classes fen_arrondie\">\t\t\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" >\r\n\t\t\t\t\t\t\t\t\t<div id=\"box_gamma\" style=\"width:800px; height:400px;\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" id=\"box_gamma_repartition\">\r\n\t\t\t\t\t\t\t\t\t<div  id=\"gamma_repartition\" style=\"width:800px;height:400px;\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_moments\">\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_caract\" >\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>   <!--fin de paragraphe gamma -->\r\n\t\t\t<div class=\"col-sm-12 \" id=\"densite_cauchy\" style=\"display:none;text-align:center;;margin:10px\" >\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<h2 style=\"font-family:KaTeX_Math\">Loi de Cauchy<\/h2>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<div class=\"col-sm-3\" id=\"info_cauchy\">\r\n\t\t\t\t\t\r\n\r\n<label class=\"extension\">Support ${x\\in [0,+\\infty [}$<\/label><br\/>\r\n<label class=\"extension\">Densit\u00e9 de probabilit\u00e9 ${{\\frac {x^{k-1}\\mathrm {e} ^{-{\\frac {x}{\\theta }}}}{\\Gamma (k)\\theta ^{k}}}}$<\/label><br\/>\r\n<label class=\"extension\">Fonction de r\u00e9partition ${{\\frac {\\gamma (k,x\/\\theta )}{\\Gamma (k)}}}$<\/label><br\/>\r\n<label class=\"extension\">Esp\u00e9rance ${k\\theta}$<\/label><br\/>\r\n<label class=\"extension\">M\u00e9diane ${pas d&#8217;expression formelle}$<\/label><br\/>\r\n<label class=\"extension\">Mode ${(k-1)\\theta \\,} pour k\\geq 1\\}$<\/label><br\/>\r\n<label class=\"extension\">Variance\t${k\\theta ^{2}}$<\/label><br\/>\r\n<label class=\"extension\">Asym\u00e9trie ${\\frac {2}{\\sqrt {k}}}$<\/label><br\/>\r\n<label class=\"extension\">Kurtosis normalis\u00e9 ${{\\frac {6}{k}}}$<\/label><br\/>\r\n<label class=\"extension\">Entropie\t$k\\theta +(1-k)\\ln(\\theta )+\\ln(\\Gamma (k))\\ +(1-k)\\psi (k)\\,$<\/label><br\/>\r\n<label class=\"extension\">Fonction g\u00e9n\u00e9ratrice des Moments ${(1-\\theta \\,t)^{-k} pour~t\\gt 1\/\\theta}$<\/label><br\/>\r\n<label class=\"extension\">Fonction caract\u00e9ristique ${\\left(1-\\mathrm {i} \\theta t\\right)^{-k}}$<\/label><br\/>\t\t\t\t\t\t\r\n \t\t\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<div class=\"col-sm-9\">\r\n\t\t\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t\t\t<div class=\"grid-classes fen_arrondie\">\t\t\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" >\r\n\t\t\t\t\t\t\t\t\t<div id=\"box_cauchy\" style=\"width:800px; height:400px;\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" id=\"box_gamma_repartition\">\r\n\t\t\t\t\t\t\t\t\t<div  id=\"cauchy_repartition\" style=\"width:800px;height:400px;\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_moments\">\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_caract\" >\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>   <!--fin de paragraphe cauchy -->\r\n\t\t\t<div class=\"col-sm-12 \" id=\"densite_chi2\" style=\"display:none;text-align:center;;margin:10px\" >\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<h2 style=\"font-family:KaTeX_Math\">Loi du Chi2<\/h2>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<div class=\"col-sm-3\" id=\"info_chi2\">\r\n\t\t\t\t\t\r\n\r\n<label class=\"extension\">Support ${x\\in [0,+\\infty [}$<\/label><br\/>\r\n<label class=\"extension\">Densit\u00e9 de probabilit\u00e9 ${{\\frac {x^{k-1}\\mathrm {e} ^{-{\\frac {x}{\\theta }}}}{\\Gamma (k)\\theta ^{k}}}}$<\/label><br\/>\r\n<label class=\"extension\">Fonction de r\u00e9partition ${{\\frac {\\gamma (k,x\/\\theta )}{\\Gamma (k)}}}$<\/label><br\/>\r\n<label class=\"extension\">Esp\u00e9rance ${k\\theta}$<\/label><br\/>\r\n<label class=\"extension\">M\u00e9diane ${pas d&#8217;expression formelle}$<\/label><br\/>\r\n<label class=\"extension\">Mode ${(k-1)\\theta \\,} pour k\\geq 1\\}$<\/label><br\/>\r\n<label class=\"extension\">Variance\t${k\\theta ^{2}}$<\/label><br\/>\r\n<label class=\"extension\">Asym\u00e9trie ${\\frac {2}{\\sqrt {k}}}$<\/label><br\/>\r\n<label class=\"extension\">Kurtosis normalis\u00e9 ${{\\frac {6}{k}}}$<\/label><br\/>\r\n<label class=\"extension\">Entropie\t$k\\theta +(1-k)\\ln(\\theta )+\\ln(\\Gamma (k))\\ +(1-k)\\psi (k)\\,$<\/label><br\/>\r\n<label class=\"extension\">Fonction g\u00e9n\u00e9ratrice des Moments ${(1-\\theta \\,t)^{-k} pour~t\\gt 1\/\\theta}$<\/label><br\/>\r\n<label class=\"extension\">Fonction caract\u00e9ristique ${\\left(1-\\mathrm {i} \\theta t\\right)^{-k}}$<\/label><br\/>\t\t\t\t\t\t\r\n \t\t\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<div class=\"col-sm-9\">\r\n\t\t\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t\t\t<div class=\"grid-classes fen_arrondie\">\t\t\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" >\r\n\t\t\t\t\t\t\t\t\t<div id=\"box_chi2\" style=\"width:800px; height:400px;\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" id=\"box_gamma_repartition\">\r\n\t\t\t\t\t\t\t\t\t<div  id=\"chi2_repartition\" style=\"width:800px;height:400px;\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_moments\">\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_caract\" >\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>   <!--fin de paragraphe chi2 -->\r\n\t\t\t<div class=\"col-sm-12 \" id=\"densite_frechet\" style=\"display:none;text-align:center;;margin:10px\" >\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<h2 style=\"font-family:KaTeX_Math\">Loi de Fr\u00e9chet<\/h2>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<div class=\"col-sm-3\" id=\"info_frechet\">\r\n\t\t\t\t\t\r\n\r\n<label class=\"extension\">Support ${x\\in [0,+\\infty [}$<\/label><br\/>\r\n<label class=\"extension\">Densit\u00e9 de probabilit\u00e9 ${{\\frac {x^{k-1}\\mathrm {e} ^{-{\\frac {x}{\\theta }}}}{\\Gamma (k)\\theta ^{k}}}}$<\/label><br\/>\r\n<label class=\"extension\">Fonction de r\u00e9partition ${{\\frac {\\gamma (k,x\/\\theta )}{\\Gamma (k)}}}$<\/label><br\/>\r\n<label class=\"extension\">Esp\u00e9rance ${k\\theta}$<\/label><br\/>\r\n<label class=\"extension\">M\u00e9diane ${pas d&#8217;expression formelle}$<\/label><br\/>\r\n<label class=\"extension\">Mode ${(k-1)\\theta \\,} pour k\\geq 1\\}$<\/label><br\/>\r\n<label class=\"extension\">Variance\t${k\\theta ^{2}}$<\/label><br\/>\r\n<label class=\"extension\">Asym\u00e9trie ${\\frac {2}{\\sqrt {k}}}$<\/label><br\/>\r\n<label class=\"extension\">Kurtosis normalis\u00e9 ${{\\frac {6}{k}}}$<\/label><br\/>\r\n<label class=\"extension\">Entropie\t$k\\theta +(1-k)\\ln(\\theta )+\\ln(\\Gamma (k))\\ +(1-k)\\psi (k)\\,$<\/label><br\/>\r\n<label class=\"extension\">Fonction g\u00e9n\u00e9ratrice des Moments ${(1-\\theta \\,t)^{-k} pour~t\\gt 1\/\\theta}$<\/label><br\/>\r\n<label class=\"extension\">Fonction caract\u00e9ristique ${\\left(1-\\mathrm {i} \\theta t\\right)^{-k}}$<\/label><br\/>\t\t\t\t\t\t\r\n \t\t\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<div class=\"col-sm-9\">\r\n\t\t\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t\t\t<div class=\"grid-classes fen_arrondie\">\t\t\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" >\r\n\t\t\t\t\t\t\t\t\t<div id=\"box_frechet\" style=\"width:800px; height:400px;\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" id=\"box_gamma_repartition\">\r\n\t\t\t\t\t\t\t\t\t<div  id=\"frechet_repartition\" style=\"width:800px;height:400px;\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_moments\">\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_caract\" >\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>   <!--fin de paragraphe Frechet -->\r\n\t\t\t<div class=\"col-sm-12 \" id=\"densite_gumbel\" style=\"display:none;text-align:center;;margin:10px\" >\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<h2 style=\"font-family:KaTeX_Math\">Loi de Gumbel<\/h2>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<div class=\"col-sm-3\" id=\"info_gumbel\">\r\n\t\t\t\t\t\r\n<label class=\"extension\">Param\u00e8tres ${\\mu}$ position (r\u00e9el) ${\\beta >0}$ \u00e9chelle (r\u00e9el) <\/label><br\/>\r\n<label class=\"extension\">Support ${x\\in [0,+\\infty [}$<\/label><br\/>\r\n<label class=\"extension\">Densit\u00e9 de probabilit\u00e9 ${{\\frac {\\exp(-z)\\,z}{\\beta }}}$<\/label><br\/>\r\n<label class=\"extension\">avec ${z=\\exp \\left[-{\\frac {x-\\mu }{\\beta }}\\right]}$<\/label><br\/>\r\n\r\n<label class=\"extension\">Fonction de r\u00e9partition ${\\exp(-\\exp[-(x-\\mu )\/\\beta ])}$<\/label><br\/>\r\n\t\t\t\t\t\t\r\n<label class=\"extension\">Esp\u00e9rance ${\\mu +\\beta \\,\\gamma}$<\/label><br\/>\r\n<label class=\"extension\">o\u00f9 ${\\gamma }$ est la Constante d&#8217;Euler-Mascheroni.<\/label><br\/>\r\n<label class=\"extension\">M\u00e9diane ${\\mu -\\beta \\,\\ln(\\ln(2))}$<\/label><br\/>\r\n<label class=\"extension\">Mode ${\\mu}$<\/label><br\/>\r\n<label class=\"extension\">Variance ${{\\frac {\\pi ^{2}}{6}}\\,\\beta ^{2}}$<\/label><br\/>\r\n<label class=\"extension\">Asym\u00e9trie ${{\\frac {12{\\sqrt {6}}\\,\\zeta (3)}{\\pi ^{3}}}\\approx 1.14}$<\/label><br\/>\r\n<label class=\"extension\">Kurtosis normalis\u00e9 ${{\\frac {12}{5}}}$<\/label><br\/>\r\n<label class=\"extension\">Entropie\t${\\ln(\\beta )+\\gamma +1}$<\/label><br\/>\r\n<label class=\"extension\">pour ${\\beta >\\exp(-(\\gamma +1))}$<\/label><br\/>\r\n<label class=\"extension\">Fonction g\u00e9n\u00e9ratrice des Moments ${\\Gamma (1-\\beta \\,t)\\,\\exp(\\mu \\,t)}$<\/label><br\/>\r\n<label class=\"extension\">Fonction caract\u00e9ristique ${\\Gamma (1-i\\,\\beta \\,t)\\,\\exp(i\\,\\mu \\,t)}$<\/label><br\/>\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<div class=\"col-sm-9\">\r\n\t\t\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t\t\t<div class=\"grid-classes fen_arrondie\">\t\t\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" >\r\n\t\t\t\t\t\t\t\t\t<div id=\"box_gumbel\" style=\"width:800px; height:400px;\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" id=\"box_gamma_repartition\">\r\n\t\t\t\t\t\t\t\t\t<div  id=\"gumbel_repartition\" style=\"width:800px;height:400px;\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_moments\">\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_caract\" >\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>   <!--fin de paragraphe gumbel -->\r\n\t\t\t\r\n\t\t\t<div class=\"col-sm-12 \" id=\"densite_voigt\" style=\"display:none;text-align:center;;margin:10px\" >\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<h2 style=\"font-family:KaTeX_Math\">Loi de Voigt<\/h2>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<div class=\"col-sm-3\" id=\"info_voigt\">\r\n\t\t\t\t\t\r\n\r\n<label class=\"extension\">Support ${x\\in [0,+\\infty [}$<\/label><br\/>\r\n<label class=\"extension\">Densit\u00e9 de probabilit\u00e9 ${{\\frac {x^{k-1}\\mathrm {e} ^{-{\\frac {x}{\\theta }}}}{\\Gamma (k)\\theta ^{k}}}}$<\/label><br\/>\r\n<label class=\"extension\">Fonction de r\u00e9partition ${{\\frac {\\gamma (k,x\/\\theta )}{\\Gamma (k)}}}$<\/label><br\/>\r\n<label class=\"extension\">Esp\u00e9rance ${k\\theta}$<\/label><br\/>\r\n<label class=\"extension\">M\u00e9diane ${pas d&#8217;expression formelle}$<\/label><br\/>\r\n<label class=\"extension\">Mode ${(k-1)\\theta \\,} pour k\\geq 1\\}$<\/label><br\/>\r\n<label class=\"extension\">Variance\t${k\\theta ^{2}}$<\/label><br\/>\r\n<label class=\"extension\">Asym\u00e9trie ${\\frac {2}{\\sqrt {k}}}$<\/label><br\/>\r\n<label class=\"extension\">Kurtosis normalis\u00e9 ${{\\frac {6}{k}}}$<\/label><br\/>\r\n<label class=\"extension\">Entropie\t$k\\theta +(1-k)\\ln(\\theta )+\\ln(\\Gamma (k))\\ +(1-k)\\psi (k)\\,$<\/label><br\/>\r\n<label class=\"extension\">Fonction g\u00e9n\u00e9ratrice des Moments ${(1-\\theta \\,t)^{-k} pour~t\\gt 1\/\\theta}$<\/label><br\/>\r\n<label class=\"extension\">Fonction caract\u00e9ristique ${\\left(1-\\mathrm {i} \\theta t\\right)^{-k}}$<\/label><br\/>\t\t\t\t\t\t\r\n \t\t\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<div class=\"col-sm-9\">\r\n\t\t\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t\t\t<div class=\"grid-classes fen_arrondie\">\t\t\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" >\r\n\t\t\t\t\t\t\t\t\t<div id=\"box_voigt\" style=\"width:800px; height:400px;\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" id=\"box_gamma_repartition\">\r\n\t\t\t\t\t\t\t\t\t<div  id=\"voigt_repartition\" style=\"width:800px;height:400px;\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_moments\">\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_caract\" >\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>   <!--fin de paragraphe voigt -->\r\n\t\t\t\r\n\t\t\t<div class=\"col-sm-12 \" id=\"densite_fisher\" style=\"display:none;text-align:center;;margin:10px\" >\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<h2 style=\"font-family:KaTeX_Math\">Loi de Fisher<\/h2>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<div class=\"col-sm-3\" id=\"info_fisher\">\r\n\t\t\t\t\r\n<label class=\"extension\">Param\u00e8tres ${d_{1}>0,\\ d_{2}>0}$ degr\u00e9 de libert\u00e9<\/label><br\/>\r\n<label class=\"extension\">Support\t${ x\\in [0,+\\infty [}$<\/label><br\/>\r\n<label class=\"extension\">Densit\u00e9 de probabilit\u00e9\t${{\\frac {\\sqrt {\\frac {(d_{1}\\,x)^{d_{1}}\\,\\,d_{2}^{d_{2}}}{(d_{1}\\,x+d_{2})^{d_{1}+d_{2}}}}}{x\\,\\mathrm {B} \\!\\left({\\frac {d_{1}}{2}},{\\frac {d_{2}}{2}}\\right)}}}$<\/label><br\/>\r\n<label class=\"extension\">Fonction de r\u00e9partition\t${ I_{\\frac {d_{1}x}{d_{1}x+d_{2}}}(d_{1}\/2,d_{2}\/2)}$<\/label><br\/>\r\n<label class=\"extension\">Esp\u00e9rance\t${{\\frac {d_{2}}{d_{2}-2}}}$ pour ${d_{2}>2}$<\/label><br\/> \r\n<label class=\"extension\">Mode ${{\\frac {d_{1}-2}{d_{1}}}\\;{\\frac {d_{2}}{d_{2}+2}}}$ pour ${ d_{1}>2}$<\/label><br\/>\r\n<label class=\"extension\">Variance ${{\\tfrac {2\\,d_{2}^{2}\\,(d_{1}+d_{2}-2)}{d_{1}(d_{2}-2)^{2}(d_{2}-4)}}}$ pour <\/label><br\/>\r\n<label class=\"extension\">${ d_{2}>4}$<\/label><br\/>\r\n<label class=\"extension\">Asym\u00e9trie\t${{\\tfrac {(2d_{1}+d_{2}-2){\\sqrt {8(d_{2}-4)}}}{(d_{2}-6){\\sqrt {d_{1}(d_{1}+d_{2}-2)}}}}}$ pour <\/label><br\/>\r\n<label class=\"extension\">${d_{2}>6}$<\/label><br\/>\r\n<label class=\"extension\">Kurtosis normalis\u00e9 ${12{\\tfrac {d_{1}(5d_{2}-22)(d_{1}+d_{2}-2)+(d_{2}-4)(d_{2}-2)^{2}}{d_{1}(d_{2}-6)(d_{2}-8)(d_{1}+d_{2}-2)}}}$ pour <\/label><br\/>\r\n<label class=\"extension\">${d_{2}>8}$<\/label><br\/>\r\n\t\t\t\t\t\t\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<div class=\"col-sm-9\">\r\n\t\t\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t\t\t<div class=\"grid-classes fen_arrondie\">\t\t\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" >\r\n\t\t\t\t\t\t\t\t\t<div id=\"box_fisher\" style=\"width:800px; height:400px;\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" id=\"box_gamma_repartition\">\r\n\t\t\t\t\t\t\t\t\t<div  id=\"fisher_repartition\" style=\"width:800px;height:400px;\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_moments\">\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_caract\" >\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>   <!--fin de paragraphe fisher -->\r\n\t\t\t\r\n\t\t\t\t\t\t<div class=\"col-sm-12 \" id=\"densite_hyperbolique\" style=\"display:none;text-align:center;;margin:10px\" >\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<h2 style=\"font-family:KaTeX_Math\">Loi hyperbolique<\/h2>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<div class=\"col-sm-3\" id=\"info_hyperbolique\">\r\n\t\t\t\t\t\t\t\t\t\t\t\r\n<label class=\"extension\">Support ${x\\in ]-\\infty ;+\\infty [}$<\/label><br\/>\r\n<label class=\"extension\">Densit\u00e9 de probabilit\u00e9\t${{\\frac {1}{2}}\\;\\operatorname {sech} \\!\\left({\\frac {\\pi }{2}}\\,x\\right)}$<\/label><br\/>\r\n<label class=\"extension\">Fonction de r\u00e9partition ${{\\frac {2}{\\pi }}\\arctan \\!\\left[\\exp \\!\\left({\\frac {\\pi }{2}}\\,x\\right)\\right]}$<\/label><br\/>\r\n<label class=\"extension\">Esp\u00e9rance ${ 0}$<\/label><br\/>\r\n<label class=\"extension\">M\u00e9diane ${ 0}$<\/label><br\/>\r\n<label class=\"extension\">Mode ${ 0}$<\/label><br\/>\r\n<label class=\"extension\">Variance ${ 1}$<\/label><br\/>\r\n<label class=\"extension\">Asym\u00e9trie ${ 0}$<\/label><br\/>\r\n<label class=\"extension\">Kurtosis normalis\u00e9\t${ 2}$<\/label><br\/>\r\n<label class=\"extension\">Entropie ${4\/\u03c0 K \u2248 1,16624}$<\/label><br\/>\r\n<!-- attention au caract\u00e8res < qui est mal interprete \r\n<label class=\"extension\">Fonction g\u00e9n\u00e9ratrice des moments ${\\sec(t)}$ pour ${|t|<{\\frac {\\pi }{2}}}$<\/label><br\/>\r\n<label class=\"extension\">Fonction caract\u00e9ristique ${\\operatorname {sech} (t)}$ pour ${|t|<{\\frac {\\pi }{2}}}$<\/label><br\/>-->\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<div class=\"col-sm-9\">\r\n\t\t\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t\t\t<div class=\"grid-classes fen_arrondie\">\t\t\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" >\r\n\t\t\t\t\t\t\t\t\t<div id=\"box_hyperbolique\" style=\"width:800px; height:400px;\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" id=\"box_gamma_repartition\">\r\n\t\t\t\t\t\t\t\t\t<div  id=\"hyperbolique_repartition\" style=\"width:800px;height:400px;\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_moments\">\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_caract\" >\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>   <!--fin de paragraphe hyperbolique -->\r\n\r\n\t\t\t<div class=\"col-sm-12 \" id=\"densite_laplace\" style=\"display:none;text-align:center;;margin:10px\" >\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<h2 style=\"font-family:KaTeX_Math\">Loi de Laplace<\/h2>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<div class=\"col-sm-3\" id=\"info_laplace\">\r\n\t\t\t\t\t\r\n<label class=\"extension\">Param\u00e8tres\t${ \\mu \\,}$ Param\u00e8tre de position (r\u00e9el) ${ b>0\\,}$ Param\u00e8tre d&#8217;\u00e9chelle (r\u00e9el)<\/label><br\/>\r\n<label class=\"extension\">Support\t${ x\\in (-\\infty ;+\\infty )\\,}$<\/label><br\/>\r\n<label class=\"extension\">Densit\u00e9 de probabilit\u00e9\t${{\\frac {1}{2\\,b}}\\exp \\left(-{\\frac {|x-\\mu |}{b}}\\right)\\,}$<\/label><br\/>\r\n<label class=\"extension\">Fonction de r\u00e9partition <\/label><br\/>\r\n<label class=\"extension\">Esp\u00e9rance\t${ \\mu \\,}$<\/label><br\/>\r\n<label class=\"extension\">M\u00e9diane\t${ \\mu \\,}$<\/label><br\/>\r\n<label class=\"extension\">Mode\t${ \\mu \\,}$<\/label><br\/>\r\n<label class=\"extension\">Variance ${ 2\\,b^{2}}$<\/label><br\/>\r\n<label class=\"extension\">Asym\u00e9trie ${ 0\\,}$<\/label><br\/>\r\n<label class=\"extension\">Kurtosis normalis\u00e9\t${ 3}$<\/label><br\/>\r\n<label class=\"extension\">Entropie\t${ \\log _{2}(2{\\rm {e}}b)}$<\/label><br\/>\r\n<!-- <label class=\"extension\">Fonction g\u00e9n\u00e9ratrice des moments\t${{\\frac {\\exp(\\mu \\,t)}{1-b^{2}\\,t^{2}}}\\,}$ pour ${|t|<1\/b\\,}$<\/label><br\/>-->\r\n<label class=\"extension\">Fonction caract\u00e9ristique\t${{\\frac {\\exp({\\rm {i}}\\,\\mu \\,t)}{1+b^{2}\\,t^{2}}}\\,}$\t<\/label><br\/>\t\t\t\t\t\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<div class=\"col-sm-9\">\r\n\t\t\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t\t\t<div class=\"grid-classes fen_arrondie\">\t\t\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" >\r\n\t\t\t\t\t\t\t\t\t<div id=\"box_laplace\" style=\"width:800px; height:400px;\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" id=\"box_gamma_repartition\">\r\n\t\t\t\t\t\t\t\t\t<div  id=\"laplace_repartition\" style=\"width:800px;height:400px;\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_moments\">\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_caract\" >\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>   <!--fin de paragraphe laplace -->\r\n\t\t\t\r\n\t\t\t\t\t\t<div class=\"col-sm-12 \" id=\"densite_weibull\" style=\"display:none;text-align:center;;margin:10px\" >\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<h2 style=\"font-family:KaTeX_Math\">Loi de Weibull<\/h2>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<div class=\"col-sm-3\" id=\"info_weibull\">\r\n\r\n<label class=\"extension\">Param\u00e8tres\t${ \\lambda >0\\,}$ \u00e9chelle (r\u00e9el) ${k>0\\,}$ forme (r\u00e9el)<\/label><br\/>\r\n<label class=\"extension\">Support\t${ x\\in [0;+\\infty [\\,}$<\/label><br\/>\r\n<label class=\"extension\">Densit\u00e9 de probabilit\u00e9\t${(k\/\\lambda )(x\/\\lambda )^{(k-1)}\\mathrm {e} ^{-(x\/\\lambda )^{k}}}$<\/label><br\/>\r\n<label class=\"extension\">Fonction de r\u00e9partition\t${ 1-\\mathrm {e} ^{-(x\/\\lambda )^{k}}}$<\/label><br\/>\r\n<label class=\"extension\">Esp\u00e9rance\t${\\mu =\\lambda \\Gamma \\left(1+{\\frac {1}{k}}\\right)\\,}$<\/label><br\/>\r\n<label class=\"extension\">M\u00e9diane\t${\\lambda (\\ln 2)^{1\/k}\\,}$<\/label><br\/>\r\n<label class=\"extension\">Mode\t${\\lambda \\left({\\frac {k-1}{k}}\\right)^{\\frac {1}{k}}\\,} si {\\displaystyle k>1}$<\/label><br\/>\r\n<label class=\"extension\">Variance\t${\\sigma ^{2}=\\lambda ^{2}\\Gamma \\left(1+{\\frac {2}{k}}\\right)-\\mu ^{2}\\,}$<\/label><br\/>\r\n<label class=\"extension\">Asym\u00e9trie\t${\\gamma _{1}={\\frac {\\lambda ^{3}\\Gamma (1+{\\frac {3}{k}})-3\\mu \\sigma ^{2}-\\mu ^{3}}{\\sigma ^{3}}}}$<\/label><br\/>\r\n<label class=\"extension\">Kurtosis normalis\u00e9\t${\\gamma _{2}={\\tfrac {\\lambda ^{4}\\Gamma (1+{\\frac {4}{k}})-4\\mu \\sigma ^{3}\\gamma _{1}-3\\sigma ^{4}-6\\mu ^{2}\\sigma ^{2}-\\mu ^{4}}{\\sigma ^{4}}}}$<\/label><br\/>\r\n<label class=\"extension\">Entropie ${\\gamma \\left(1\\!-\\!{\\frac {1}{k}}\\right)+\\left({\\frac {\\lambda }{k}}\\right)^{k}+\\ln \\left({\\frac {\\lambda }{k}}\\right)}$<\/label><br\/>\r\n\t\t\t\t\t\t\r\n\t\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<div class=\"col-sm-9\">\r\n\t\t\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t\t\t<div class=\"grid-classes fen_arrondie\">\t\t\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" >\r\n\t\t\t\t\t\t\t\t\t<div id=\"box_weibull\" style=\"width:800px; height:400px;\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" id=\"box_gamma_repartition\">\r\n\t\t\t\t\t\t\t\t\t<div  id=\"weibull_repartition\" style=\"width:800px;height:400px;\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_moments\">\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_caract\" >\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>   <!--fin de paragraphe weibull -->\r\n\r\n\t\t<div class=\"col-sm-12 \" id=\"densite_student\" style=\"display:none;text-align:center;;margin:10px\" >\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<h2 style=\"font-family:KaTeX_Math\">Loi de Student<\/h2>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<div class=\"col-sm-3\" id=\"info_student\">\r\n\t\t\t\t\t\r\n<label class=\"extension\">Param\u00e8tres<br\/>k > 0 (degr\u00e9s de libert\u00e9)<\/label><br\/>\r\n<label class=\"extension\">Support\t${x\\in \\mathbb {R}}$<\/label><br\/>\r\n<label class=\"extension\">Densit\u00e9 de probabilit\u00e9\t${ f_{T}(t)={\\frac {1}{\\sqrt {k\\pi }}}{\\frac {\\Gamma ({\\frac {k+1}{2}})}{\\Gamma ({\\frac {k}{2}})}}\\left(1+{\\frac {t^{2}}{k}}\\right)^{-{\\frac {k+1}{2}}}}$<\/label><br\/>\r\n<label class=\"extension\">Fonction de r\u00e9partition\t${{\\begin{matrix}{\\frac {1}{2}}+x\\Gamma \\left({\\frac {k+1}{2}}\\right){\\frac {\\,_{2}F_{1}\\left({\\frac {1}{2}},{\\frac {k+1}{2}};{\\frac {3}{2}};-{\\frac {x^{2}}{k}}\\right)}{{\\sqrt {k\\pi }}\\,\\Gamma \\left({\\frac {k}{2}}\\right)}}\\end{matrix}}}$ o\u00f9 2F1 est la fonction hyperg\u00e9om\u00e9trique<\/label><br\/>\r\n<label class=\"extension\">Esp\u00e9rance <br\/>si k \u2264 1 : forme ind\u00e9termin\u00e9e<br\/>si k > 1 : 0<\/label><br\/>\r\n<label class=\"extension\">M\u00e9diane\t0<\/label><br\/>\r\n<label class=\"extension\">Mode\t0<\/label><br\/>\r\n<label class=\"extension\">Variance<br\/>si k \u2264 1 : forme ind\u00e9termin\u00e9e<br\/>si 1 < k \u2264 2 : +\u221e<br\/>si k > 2 : ${{\\frac {k}{k-2}}}$<\/label><br\/>\r\n<label class=\"extension\">Asym\u00e9trie<br\/>si k \u2264 3 : forme ind\u00e9termin\u00e9e<br\/>\t<\/label><br\/>\r\n<label class=\"extension\">Kurtosis normalis\u00e9<br\/>si k \u2264 2 : forme ind\u00e9termin\u00e9e<br\/>si 2 < k \u2264 4 : +\u221e<br\/>si k > 4 : ${{\\frac {6}{k-4}}}$<\/label><br\/>\r\n \t\t\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<div class=\"col-sm-9\">\r\n\t\t\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t\t\t<div class=\"grid-classes fen_arrondie\">\t\t\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" >\r\n\t\t\t\t\t\t\t\t\t<div id=\"box_student\" style=\"width:800px; height:400px;\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" id=\"box_gamma_repartition\">\r\n\t\t\t\t\t\t\t\t\t<div  id=\"student_repartition\" style=\"width:800px;height:400px;\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_moments\">\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_caract\" >\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>   <!--fin de paragraphe Student -->\r\n\t\t\t\r\n\t\t\t<div class=\"col-sm-12 \" id=\"densite_lognormale\" style=\"display:none;text-align:center;;margin:10px\" >\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<h2 style=\"font-family:KaTeX_Math\">Loi LogNormale<\/h2>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t<div class=\"col-sm-3\" id=\"info_lognormale\">\r\n\t\t\t\t\t\r\n\r\n\t\t\t\t\r\n \t\t\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<div class=\"col-sm-9\">\r\n\t\t\t\t\t\t<div class=\"row\">\r\n\t\t\t\t\t\t\t<div class=\"grid-classes fen_arrondie\">\t\t\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" >\r\n\t\t\t\t\t\t\t\t\t<div id=\"box_lognormale\" style=\"width:800px; height:400px;\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:block;\" id=\"box_gamma_repartition\">\r\n\t\t\t\t\t\t\t\t\t<div  id=\"lognormale_repartition\" style=\"width:800px;height:400px;\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_moments\">\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\"><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t\t<div class=\"grid-item fen_arrondie\" style=\"display:none;\" id=\"box_unif_fct_caract\" >\r\n\t\t\t\t\t\t\t\t\t<div  style=\"width:800px;height:400px;display:none\" class=\"jxgbox fen_arrondie\" ><\/div>\r\n\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>   <!--fin de paragraphe Lognormale 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