{"id":1302,"date":"2023-07-26T23:01:09","date_gmt":"2023-07-26T23:01:09","guid":{"rendered":"https:\/\/statorials.org\/pt\/distribuicao-em-erlang\/"},"modified":"2023-07-26T23:01:09","modified_gmt":"2023-07-26T23:01:09","slug":"distribuicao-em-erlang","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/distribuicao-em-erlang\/","title":{"rendered":"O que \u00e9 distribui\u00e7\u00e3o erlang?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">A <strong>distribui\u00e7\u00e3o Erlang<\/strong> \u00e9 uma <a href=\"https:\/\/statorials.org\/pt\/estatologia-explica-conceitos-de-forma-simples-e-direta-facilitamos-o-aprendizado-de-estatistica\/\" target=\"_blank\" rel=\"noopener\">distribui\u00e7\u00e3o de probabilidade<\/a> originalmente criada por <a href=\"https:\/\/en.wikipedia.org\/wiki\/Agner_Krarup_Erlang\" target=\"_blank\" rel=\"noopener\">AK Erlang<\/a> para modelar o n\u00famero de chamadas telef\u00f4nicas que uma operadora de esta\u00e7\u00e3o de comuta\u00e7\u00e3o pode receber simultaneamente.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A distribui\u00e7\u00e3o \u00e9 usada em engenharia de tr\u00e1fego telef\u00f4nico, sistemas de filas, biologia matem\u00e1tica e outras \u00e1reas para modelar uma variedade de fen\u00f4menos do mundo real.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Propriedades da distribui\u00e7\u00e3o Erlang<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A distribui\u00e7\u00e3o Erlang tem a seguinte fun\u00e7\u00e3o de densidade de probabilidade:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">f(x; k, \u03bc) = x <sup>k-1<\/sup> e <sup>-x\/\u03bc<\/sup> \/ \u03bc <sup>k<\/sup> (k-1)!<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>k:<\/strong> O par\u00e2metro de forma. Deve ser um n\u00famero inteiro positivo.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03bc:<\/strong> O par\u00e2metro de escala. Deve ser um n\u00famero real positivo.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Acontece que a distribui\u00e7\u00e3o Erlang \u00e9 um caso especial da distribui\u00e7\u00e3o Gamma quando o par\u00e2metro de forma <em>k<\/em> \u00e9 limitado apenas a inteiros reais positivos.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Observe que o par\u00e2metro de escala \u00e9 o inverso do par\u00e2metro de taxa, \u03bb, ou seja, \u03bc = 1\/\u03bb.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A distribui\u00e7\u00e3o Erlang possui as seguintes propriedades:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>M\u00e9dia:<\/strong> k\/\u03bb<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Modo:<\/strong> (k-1)\/\u03bb<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Diferen\u00e7a:<\/strong> k\/\u03bb <sup>2<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Assimetria:<\/strong> 2\/\u221ak<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Achatamento:<\/strong> 6\/k<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A distribui\u00e7\u00e3o Erlang tem os seguintes relacionamentos com outras distribui\u00e7\u00f5es:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Quando o par\u00e2metro de forma k \u00e9 igual a 1, a distribui\u00e7\u00e3o Erlang \u00e9 igual \u00e0 <a href=\"https:\/\/statorials.org\/pt\/distribuicao-exponencial-1\/\" target=\"_blank\" rel=\"noopener\">distribui\u00e7\u00e3o exponencial<\/a> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Quando o par\u00e2metro de escala \u03bc \u00e9 igual a 2, a distribui\u00e7\u00e3o Erlang \u00e9 igual a uma distribui\u00e7\u00e3o Qui-quadrado com 2 graus de liberdade.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Veja a distribui\u00e7\u00e3o Erlang<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">O gr\u00e1fico a seguir mostra a forma da distribui\u00e7\u00e3o Erlang quando ela assume par\u00e2metros diferentes:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12748 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/erlang1-1.png\" alt=\"Distribui\u00e7\u00e3o Erlang\" width=\"422\" height=\"425\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00c9 interessante ver o quanto a forma da distribui\u00e7\u00e3o muda dependendo dos valores usados para os par\u00e2metros de forma e escala.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Nota:<\/strong> Voc\u00ea pode encontrar o c\u00f3digo R usado para gerar o gr\u00e1fico das distribui\u00e7\u00f5es Erlang <a href=\"https:\/\/github.com\/Statorials\/Miscellaneous\/blob\/main\/plot_erlang.R\" target=\"_blank\" rel=\"noopener\">aqui<\/a> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Caso de uso<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A distribui\u00e7\u00e3o Erlang \u00e9 usada em v\u00e1rios contextos do mundo real, incluindo:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Centrais de atendimento<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A distribui\u00e7\u00e3o Erlang \u00e9 usada para modelar o tempo entre as chamadas recebidas em um call center, bem como o n\u00famero esperado de chamadas.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Isso permite que os call centers saibam qual deve ser sua capacidade de pessoal em diferentes hor\u00e1rios do dia, para que possam atender as chamadas recebidas em tempo h\u00e1bil, sem perder dinheiro ao contratar muitos funcion\u00e1rios durante um turno. dado trabalho.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Par\u00e2metros M\u00e9dicos<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A distribui\u00e7\u00e3o Erlang \u00e9 amplamente utilizada para modelar a distribui\u00e7\u00e3o da dura\u00e7\u00e3o do ciclo celular, que tem muitas aplica\u00e7\u00f5es diferentes em ambientes m\u00e9dicos.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. Configura\u00e7\u00f5es de varejo<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A distribui\u00e7\u00e3o Erlang \u00e9 usada pelos varejistas para modelar a frequ\u00eancia dos atrasos nas compras dos consumidores.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Isso d\u00e1 aos varejistas e outras empresas uma ideia de com que frequ\u00eancia se espera que um determinado consumidor compre um produto ou servi\u00e7o deles. Isso ajuda as empresas a controlar o estoque e tamb\u00e9m a recrutar funcion\u00e1rios.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/a-distribuicao-normal\/\" target=\"_blank\" rel=\"noopener\">Uma introdu\u00e7\u00e3o \u00e0 distribui\u00e7\u00e3o normal<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/distribuicao-binomial-1\/\" target=\"_blank\" rel=\"noopener\">Uma introdu\u00e7\u00e3o \u00e0 distribui\u00e7\u00e3o binomial<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/distribuicao-de-peixe\/\" target=\"_blank\" rel=\"noopener\">Uma introdu\u00e7\u00e3o \u00e0 distribui\u00e7\u00e3o de Poisson<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A distribui\u00e7\u00e3o Erlang \u00e9 uma distribui\u00e7\u00e3o de probabilidade originalmente criada por AK Erlang para modelar o n\u00famero de chamadas telef\u00f4nicas que uma operadora de esta\u00e7\u00e3o de comuta\u00e7\u00e3o pode receber simultaneamente. A distribui\u00e7\u00e3o \u00e9 usada em engenharia de tr\u00e1fego telef\u00f4nico, sistemas de filas, biologia matem\u00e1tica e outras \u00e1reas para modelar uma variedade de fen\u00f4menos do mundo [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1302","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>O que \u00e9 distribui\u00e7\u00e3o Erlang? - Statorials<\/title>\n<meta name=\"description\" content=\"Este tutorial fornece uma introdu\u00e7\u00e3o r\u00e1pida \u00e0 distribui\u00e7\u00e3o Erlang, incluindo uma defini\u00e7\u00e3o formal e v\u00e1rios exemplos.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pt\/distribuicao-em-erlang\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"O que \u00e9 distribui\u00e7\u00e3o Erlang? - Statorials\" \/>\n<meta property=\"og:description\" content=\"Este tutorial fornece uma introdu\u00e7\u00e3o r\u00e1pida \u00e0 distribui\u00e7\u00e3o Erlang, incluindo uma defini\u00e7\u00e3o formal e v\u00e1rios exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/distribuicao-em-erlang\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T23:01:09+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/erlang1-1.png\" \/>\n<meta name=\"author\" content=\"Dr. benjamim anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr. benjamim anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo estimado de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/distribuicao-em-erlang\/\",\"url\":\"https:\/\/statorials.org\/pt\/distribuicao-em-erlang\/\",\"name\":\"O que \u00e9 distribui\u00e7\u00e3o Erlang? - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-26T23:01:09+00:00\",\"dateModified\":\"2023-07-26T23:01:09+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial fornece uma introdu\u00e7\u00e3o r\u00e1pida \u00e0 distribui\u00e7\u00e3o Erlang, incluindo uma defini\u00e7\u00e3o formal e v\u00e1rios exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/distribuicao-em-erlang\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/distribuicao-em-erlang\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/distribuicao-em-erlang\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"O que \u00e9 distribui\u00e7\u00e3o erlang?\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pt\/#website\",\"url\":\"https:\/\/statorials.org\/pt\/\",\"name\":\"Statorials\",\"description\":\"O seu guia para a literacia estat\u00edstica!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pt\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-PT\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\",\"name\":\"Dr. benjamim anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-PT\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr. benjamim anderson\"},\"description\":\"Ol\u00e1, sou Benjamin, um professor aposentado de estat\u00edstica que se tornou professor dedicado na Statorials. 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