{"id":7879,"date":"2022-09-23T11:03:03","date_gmt":"2022-09-23T11:03:03","guid":{"rendered":"http:\/\/euseguros.pt\/?page_id=7879"},"modified":"2022-09-23T15:21:57","modified_gmt":"2022-09-23T15:21:57","slug":"maximum-likelihood-estimation","status":"publish","type":"page","link":"https:\/\/euseguros.pt\/en\/statistics-full-course\/maximum-likelihood-estimation\/","title":{"rendered":"Maximum Likelihood Estimation"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; fullwidth=&#8221;on&#8221; _builder_version=&#8221;4.4.3&#8243;][et_pb_fullwidth_menu menu_id=&#8221;410&#8243; menu_style=&#8221;inline_centered_logo&#8221; fullwidth_menu=&#8221;on&#8221; _builder_version=&#8221;4.4.3&#8243; menu_font_size=&#8221;20px&#8221; custom_margin=&#8221;|||0px|false|false&#8221;][\/et_pb_fullwidth_menu][\/et_pb_section][et_pb_section fb_built=&#8221;1&#8243; _builder_version=&#8221;4.4.3&#8243;][et_pb_row _builder_version=&#8221;4.4.3&#8243;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.4.3&#8243;][et_pb_text _builder_version=&#8221;4.4.3&#8243; hover_enabled=&#8221;0&#8243;]<\/p>\n<h2><span style=\"text-decoration: underline;\">Maximum Likelihood Estimation<br \/><\/span><\/h2>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=&#8221;4.4.3&#8243;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.4.3&#8243;][et_pb_text _builder_version=&#8221;4.4.3&#8243; hover_enabled=&#8221;0&#8243;]<\/p>\n<p>This technique allows us to find the regression line equation, but instead of using the distance of the data point to the line like we do with the Ordinary Least Squares Method, here we use the normal distribution curve of all the points in the same axis, and iterate the best normal curve that fits data at that axis.<\/p>\n<p>We start off in the same way with a data set of points.<\/p>\n<p>[\/et_pb_text][et_pb_image src=&#8221;http:\/\/euseguros.pt\/wp-content\/uploads\/2022\/09\/4-1.png&#8221; _builder_version=&#8221;4.4.3&#8243; hover_enabled=&#8221;0&#8243;][\/et_pb_image][et_pb_text _builder_version=&#8221;4.4.3&#8243; hover_enabled=&#8221;0&#8243;]<\/p>\n<p>But here, along the Y-Axis in the same X-point we find the Normal curve the best fits the largest set of points.<\/p>\n<p>[\/et_pb_text][et_pb_image src=&#8221;http:\/\/euseguros.pt\/wp-content\/uploads\/2022\/09\/5-1.png&#8221; _builder_version=&#8221;4.4.3&#8243; hover_enabled=&#8221;0&#8243;][\/et_pb_image][et_pb_text _builder_version=&#8221;4.4.3&#8243; hover_enabled=&#8221;0&#8243;]<\/p>\n<p>Because the normal curve has this unique characteristic of being bell-shaped, we use it to our advantage. In other words, given we have centered a normal curve where we have the most prevalance of points, where the first derivative is 0, we have the coordinate to use for the regression line.<\/p>\n<p>[\/et_pb_text][et_pb_image src=&#8221;http:\/\/euseguros.pt\/wp-content\/uploads\/2022\/09\/6-1.png&#8221; _builder_version=&#8221;4.4.3&#8243; hover_enabled=&#8221;0&#8243;][\/et_pb_image][et_pb_text _builder_version=&#8221;4.4.3&#8243; hover_enabled=&#8221;0&#8243;]<\/p>\n<p>We then proceed to apply this concept along all the dataset and find the maximum point at each vertical line, so we can then gather coordinates for our function.<\/p>\n<p>[\/et_pb_text][et_pb_image src=&#8221;http:\/\/euseguros.pt\/wp-content\/uploads\/2022\/09\/7.png&#8221; _builder_version=&#8221;4.4.3&#8243; hover_enabled=&#8221;0&#8243;][\/et_pb_image][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>","protected":false},"excerpt":{"rendered":"<p>Maximum Likelihood Estimation is a method to find the function that best fits a data set. Learn more about how it works here.<\/p>","protected":false},"author":1,"featured_media":0,"parent":7674,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Maximum Likelihood Estimation - EU Seguros<\/title>\n<meta name=\"description\" content=\"Maximum Likelihood Estimation is a method to find the function that best fits a data set. Learn more about how it works here.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/euseguros.pt\/en\/statistics-full-course\/maximum-likelihood-estimation\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Maximum Likelihood Estimation - EU Seguros\" \/>\n<meta property=\"og:description\" content=\"Maximum Likelihood Estimation is a method to find the function that best fits a data set. Learn more about how it works here.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/euseguros.pt\/en\/statistics-full-course\/maximum-likelihood-estimation\/\" \/>\n<meta property=\"og:site_name\" content=\"EU Seguros\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/facebook.com\/eusegurosportugal\" \/>\n<meta property=\"article:modified_time\" content=\"2022-09-23T15:21:57+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/euseguros.pt\/statistics-full-course\/maximum-likelihood-estimation\/\",\"url\":\"https:\/\/euseguros.pt\/statistics-full-course\/maximum-likelihood-estimation\/\",\"name\":\"Maximum Likelihood Estimation - EU Seguros\",\"isPartOf\":{\"@id\":\"https:\/\/euseguros.pt\/#website\"},\"datePublished\":\"2022-09-23T11:03:03+00:00\",\"dateModified\":\"2022-09-23T15:21:57+00:00\",\"description\":\"Maximum Likelihood Estimation is a method to find the function that best fits a data set. Learn more about how it works here.\",\"breadcrumb\":{\"@id\":\"https:\/\/euseguros.pt\/statistics-full-course\/maximum-likelihood-estimation\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/euseguros.pt\/statistics-full-course\/maximum-likelihood-estimation\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/euseguros.pt\/statistics-full-course\/maximum-likelihood-estimation\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/euseguros.pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Statistics Full Course\",\"item\":\"https:\/\/euseguros.pt\/statistics-full-course\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Maximum Likelihood Estimation\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/euseguros.pt\/#website\",\"url\":\"https:\/\/euseguros.pt\/\",\"name\":\"EU Seguros\",\"description\":\"Independent Financial Advisory Services\",\"publisher\":{\"@id\":\"https:\/\/euseguros.pt\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/euseguros.pt\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/euseguros.pt\/#organization\",\"name\":\"Eu Seguros\",\"url\":\"https:\/\/euseguros.pt\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/euseguros.pt\/#\/schema\/logo\/image\/\",\"url\":\"http:\/\/euseguros.pt\/wp-content\/uploads\/2019\/09\/Empresas-a-Criar.png\",\"contentUrl\":\"http:\/\/euseguros.pt\/wp-content\/uploads\/2019\/09\/Empresas-a-Criar.png\",\"width\":500,\"height\":500,\"caption\":\"Eu Seguros\"},\"image\":{\"@id\":\"https:\/\/euseguros.pt\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/facebook.com\/eusegurosportugal\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Maximum Likelihood Estimation - EU Seguros","description":"Maximum Likelihood Estimation is a method to find the function that best fits a data set. Learn more about how it works here.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/euseguros.pt\/en\/statistics-full-course\/maximum-likelihood-estimation\/","og_locale":"en_US","og_type":"article","og_title":"Maximum Likelihood Estimation - EU Seguros","og_description":"Maximum Likelihood Estimation is a method to find the function that best fits a data set. Learn more about how it works here.","og_url":"https:\/\/euseguros.pt\/en\/statistics-full-course\/maximum-likelihood-estimation\/","og_site_name":"EU Seguros","article_publisher":"https:\/\/facebook.com\/eusegurosportugal","article_modified_time":"2022-09-23T15:21:57+00:00","twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/euseguros.pt\/statistics-full-course\/maximum-likelihood-estimation\/","url":"https:\/\/euseguros.pt\/statistics-full-course\/maximum-likelihood-estimation\/","name":"Maximum Likelihood Estimation - EU Seguros","isPartOf":{"@id":"https:\/\/euseguros.pt\/#website"},"datePublished":"2022-09-23T11:03:03+00:00","dateModified":"2022-09-23T15:21:57+00:00","description":"Maximum Likelihood Estimation is a method to find the function that best fits a data set. Learn more about how it works here.","breadcrumb":{"@id":"https:\/\/euseguros.pt\/statistics-full-course\/maximum-likelihood-estimation\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/euseguros.pt\/statistics-full-course\/maximum-likelihood-estimation\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/euseguros.pt\/statistics-full-course\/maximum-likelihood-estimation\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/euseguros.pt\/"},{"@type":"ListItem","position":2,"name":"Statistics Full Course","item":"https:\/\/euseguros.pt\/statistics-full-course\/"},{"@type":"ListItem","position":3,"name":"Maximum Likelihood Estimation"}]},{"@type":"WebSite","@id":"https:\/\/euseguros.pt\/#website","url":"https:\/\/euseguros.pt\/","name":"EU Seguros","description":"Independent Financial Advisory Services","publisher":{"@id":"https:\/\/euseguros.pt\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/euseguros.pt\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/euseguros.pt\/#organization","name":"Eu Seguros","url":"https:\/\/euseguros.pt\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/euseguros.pt\/#\/schema\/logo\/image\/","url":"http:\/\/euseguros.pt\/wp-content\/uploads\/2019\/09\/Empresas-a-Criar.png","contentUrl":"http:\/\/euseguros.pt\/wp-content\/uploads\/2019\/09\/Empresas-a-Criar.png","width":500,"height":500,"caption":"Eu Seguros"},"image":{"@id":"https:\/\/euseguros.pt\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/facebook.com\/eusegurosportugal"]}]}},"_links":{"self":[{"href":"https:\/\/euseguros.pt\/en\/wp-json\/wp\/v2\/pages\/7879"}],"collection":[{"href":"https:\/\/euseguros.pt\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/euseguros.pt\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/euseguros.pt\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/euseguros.pt\/en\/wp-json\/wp\/v2\/comments?post=7879"}],"version-history":[{"count":5,"href":"https:\/\/euseguros.pt\/en\/wp-json\/wp\/v2\/pages\/7879\/revisions"}],"predecessor-version":[{"id":7895,"href":"https:\/\/euseguros.pt\/en\/wp-json\/wp\/v2\/pages\/7879\/revisions\/7895"}],"up":[{"embeddable":true,"href":"https:\/\/euseguros.pt\/en\/wp-json\/wp\/v2\/pages\/7674"}],"wp:attachment":[{"href":"https:\/\/euseguros.pt\/en\/wp-json\/wp\/v2\/media?parent=7879"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}