{"id":28707,"date":"2013-05-21T17:40:13","date_gmt":"2013-05-21T12:10:13","guid":{"rendered":"http:\/\/www.kopykitab.com\/blog\/?p=28707"},"modified":"2013-05-21T17:44:15","modified_gmt":"2013-05-21T12:14:15","slug":"engine-building-formulas","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/engine-building-formulas\/","title":{"rendered":"The Logistic Distribution Notes"},"content":{"rendered":"<h1 style=\"text-align: center;\">The Logistic Distribution Notes<\/h1>\n<h3><span style=\"font-size: 1.17em;\">The Logistic Distribution<\/span><\/h3>\n<p>The logistic distribution has a shape very similar to the normal distribution (i.e., bell shaped), but with heavier tails. Since the logistic distribution has closed form solutions for the reliability,\u00a0<i>cdf<\/i>\u00a0and failure rate functions, it is sometimes preferred over the normal distribution, where these functions can only be obtained numerically.<\/p>\n<p>The\u00a0<i>pdf<\/i>\u00a0of the logistic distribution is given by:<\/p>\n<dl>\n<dd>\n<dl>\n<dd><img alt=\"\" src=\"http:\/\/reliawiki.org\/images\/math\/e\/6\/b\/e6b7f62dfd624599338c1006c079ba1e.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\/4\/d\/7\/4d7bd7794383494d0ebb14721b633cc4.png\"><\/dd>\n<\/dl>\n<\/dd>\n<\/dl>\n<p>The logistic distribution and its characteristics are presented in\u00a0The Logistic Distribution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Logistic Distribution Notes The Logistic Distribution The logistic distribution has a shape very similar to the normal distribution (i.e., bell shaped), but with heavier tails. Since the logistic distribution has closed form solutions for the reliability,\u00a0cdf\u00a0and failure rate functions, it is sometimes preferred over the normal distribution, where these functions can only be obtained &#8230; <a title=\"The Logistic Distribution Notes\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/engine-building-formulas\/\" aria-label=\"More on The Logistic 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\/28707"}],"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=28707"}],"version-history":[{"count":0,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/28707\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=28707"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=28707"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=28707"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}