{"id":28711,"date":"2013-05-21T17:45:46","date_gmt":"2013-05-21T12:15:46","guid":{"rendered":"http:\/\/www.kopykitab.com\/blog\/?p=28711"},"modified":"2013-05-21T17:46:25","modified_gmt":"2013-05-21T12:16:25","slug":"the-loglogistic-distribution","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/the-loglogistic-distribution\/","title":{"rendered":"The Loglogistic Distribution Notes"},"content":{"rendered":"<h1 style=\"text-align: center;\">The Loglogistic Distribution Notes<\/h1>\n<h3>The Loglogistic Distribution<\/h3>\n<p>As may be surmised from the name, the loglogistic distribution is similar to the logistic distribution. Specifically, the data follows a loglogistic distribution when the natural logarithms of the times-to-failure follow a logistic distribution. Accordingly, the loglogistic and lognormal distributions also share many similarities.<\/p>\n<p>The\u00a0<i>pdf<\/i>\u00a0of the loglogistic distribution is given by:<\/p>\n<dl>\n<dd>\n<dl>\n<dd><img alt=\"\" src=\"http:\/\/reliawiki.org\/images\/math\/0\/a\/2\/0a2286df4b73f35584c241ab86b76167.png\"><\/dd>\n<\/dl>\n<\/dd>\n<\/dl>\n<p>where:<\/p>\n<dl>\n<dd>\n<dl>\n<dd><img alt=\"\" src=\"http:\/\/reliawiki.org\/images\/math\/1\/e\/6\/1e67a2715bc2ff41f094fdf5a9426454.png\"><\/dd>\n<\/dl>\n<\/dd>\n<\/dl>\n<p>The loglogistic distribution and its characteristics are presented in\u00a0The Loglogistic Distribution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Loglogistic Distribution Notes The Loglogistic Distribution As may be surmised from the name, the loglogistic distribution is similar to the logistic distribution. Specifically, the data follows a loglogistic distribution when the natural logarithms of the times-to-failure follow a logistic distribution. Accordingly, the loglogistic and lognormal distributions also share many similarities. The\u00a0pdf\u00a0of the loglogistic distribution &#8230; <a title=\"The Loglogistic Distribution Notes\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/the-loglogistic-distribution\/\" aria-label=\"More on The Loglogistic Distribution Notes\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[4773],"tags":[],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/28711"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=28711"}],"version-history":[{"count":0,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/28711\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=28711"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=28711"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=28711"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}