{"id":4634,"date":"2026-08-12T15:46:19","date_gmt":"2026-08-12T13:46:19","guid":{"rendered":"https:\/\/ellistat.com\/?post_type=guide-dutilisateur&#038;p=4634"},"modified":"2026-08-12T15:46:19","modified_gmt":"2026-08-12T13:46:19","slug":"continuous-distribution-laws","status":"publish","type":"guide-dutilisateur","link":"https:\/\/ellistat.com\/en\/guide-dutilisateur\/lois-de-distribution-continues\/","title":{"rendered":"Continuous Distribution Laws"},"content":{"rendered":"<p class=\"wp-block-paragraph\">The same principle applies to continuous laws:&nbsp;<strong>normal<\/strong>,&nbsp;<strong>natural logarithm<\/strong>,&nbsp;<strong>Weibull<\/strong>,&nbsp;<strong>exponential<\/strong>&nbsp;and&nbsp;<strong>beta<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Enter the&nbsp;<strong>settings<\/strong>&nbsp;of the law and the&nbsp;<strong>limits<\/strong>, and we get:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>the\u00a0<strong>statistics<\/strong>\u00a0: mean, median, first quartile; ;<\/li>\n\n\n\n<li>the\u00a0<strong>proportion on the underside<\/strong>\u00a0and the\u00a0<strong>proportion of the upper side<\/strong>, the percentage of production that is out of specification; ;<\/li>\n\n\n\n<li>the\u00a0<strong>capabilities<\/strong>\u00a0Corresponding Cp and Cpk values, if applicable.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"964\" height=\"576\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/continues.png\" alt=\"\" class=\"wp-image-4635\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/continues.png 964w, https:\/\/ellistat.com\/wp-content\/uploads\/continues-300x179.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/continues-768x459.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/continues-18x12.png 18w\" sizes=\"auto, (max-width: 964px) 100vw, 964px\" \/><\/figure>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\ud83d\udca1 The main benefit is that it replaces traditional statistical tables by providing all the statistics for the main distributions<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udca1 A secondary benefit is a priori sizing: before starting production, we verify what proportion of scrap results from an assumed dispersion and a given tolerance. This is also a good place to demonstrate the effect of misalignment on scrap.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u26a0\ufe0f A distribution chosen for convenience does not become true. If the actual data do not follow a normal distribution, the proportion outside the tolerance range calculated under the assumption of a normal distribution may be significantly incorrect at the tails, where the difference between distributions is greatest.<\/p>\n<\/blockquote>","protected":false},"featured_media":0,"menu_order":70,"template":"","meta":{"_acf_changed":true},"menu-guide-dutilisateur":[22],"class_list":["post-4634","guide-dutilisateur","type-guide-dutilisateur","status-publish","hentry","menu-guide-dutilisateur-4-statistiques-descriptives"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Lois de distribution continues - Ellistat<\/title>\n<meta name=\"description\" content=\"Normale, lognormale, Weibull, exponentielle, b\u00eata : calculez statistiques, proportion hors tol\u00e9rance et capabilit\u00e9s Cp\/Cpk sans jeu de donn\u00e9es r\u00e9el.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ellistat.com\/en\/users-guide\/continuous-distribution-laws\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Lois de distribution continues - 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