{"id":28715,"date":"2013-05-21T17:48:54","date_gmt":"2013-05-21T12:18:54","guid":{"rendered":"http:\/\/www.kopykitab.com\/blog\/?p=28715"},"modified":"2013-05-21T17:48:54","modified_gmt":"2013-05-21T12:18:54","slug":"the-gumbel-distribution-notes","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/the-gumbel-distribution-notes\/","title":{"rendered":"The Gumbel Distribution Notes"},"content":{"rendered":"<h1 style=\"text-align: center;\">The Gumbel Distribution Notes<\/h1>\n<h3>The Gumbel Distribution<\/h3>\n<p>The Gumbel distribution is also referred to as the Smallest Extreme Value (SEV) distribution or the Smallest Extreme Value (Type 1) distribution. The Gumbel distribution is appropriate for modeling strength, which is sometimes skewed to the left (e.g., few weak units fail under low stress, while the rest fail at higher stresses). The Gumbel distribution could also be appropriate for modeling the life of products that experience very quick wear out after reaching a certain age.<\/p>\n<p>The\u00a0<i>pdf<\/i>\u00a0of the Gumbel distribution is given by:<\/p>\n<dl>\n<dd>\n<dl>\n<dd><img alt=\"\" src=\"http:\/\/reliawiki.org\/images\/math\/6\/7\/f\/67f2beb123b527bee005f6a221213aea.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\/f\/9\/9\/f9953d71a493fc44062316e0100a4c8a.png\"><\/dd>\n<\/dl>\n<\/dd>\n<\/dl>\n<p>The Gumbel distribution and its characteristics are presented in\u00a0The Gumbel\/SEV Distribution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Gumbel Distribution Notes The Gumbel Distribution The Gumbel distribution is also referred to as the Smallest Extreme Value (SEV) distribution or the Smallest Extreme Value (Type 1) distribution. The Gumbel distribution is appropriate for modeling strength, which is sometimes skewed to the left (e.g., few weak units fail under low stress, while the rest &#8230; <a title=\"The Gumbel Distribution Notes\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/the-gumbel-distribution-notes\/\" aria-label=\"More on The Gumbel 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\/28715"}],"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=28715"}],"version-history":[{"count":0,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/28715\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=28715"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=28715"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=28715"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}