{"id":917564,"date":"2021-12-23T08:27:00","date_gmt":"2021-12-23T11:27:00","guid":{"rendered":"https:\/\/www.estrategiaconcursos.com.br\/blog\/?p=917564"},"modified":"2021-12-12T17:14:07","modified_gmt":"2021-12-12T20:14:07","slug":"distribuicao-amostral-iss-bh-estatistica","status":"publish","type":"post","link":"https:\/\/www.estrategiaconcursos.com.br\/blog\/distribuicao-amostral-iss-bh-estatistica\/","title":{"rendered":"Resumo sobre Distribui\u00e7\u00e3o Amostral ISS-BH &#8211; Estat\u00edstica"},"content":{"rendered":"\n<p>Ol\u00e1, pessoal. Tudo certo? No artigo de hoje veremos o Resumo sobre Distribui\u00e7\u00e3o Amostral ISS-BH.<\/p>\n\n\n\n<p>Os assuntos que ser\u00e3o tratados:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Distribui\u00e7\u00e3o Amostral da M\u00e9dia<\/li><li>Distribui\u00e7\u00e3o Amostral da Propor\u00e7\u00e3o<\/li><li>Distribui\u00e7\u00e3o Amostral da Vari\u00e2ncia<\/li><li>Estimador Pontual (propriedades e m\u00e9todos de estima\u00e7\u00e3o)<\/li><\/ul>\n\n\n\n<p>Assim, vamos l\u00e1.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Distribui\u00e7\u00e3o Amostral<\/h2>\n\n\n\n<p>Vamos iniciar o Resumo sobre Distribui\u00e7\u00e3o Amostral ISS-BH.<\/p>\n\n\n\n<p>Podemos definir a <strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Distribui\u00e7\u00e3o Amostral<\/span><\/strong> como a distribui\u00e7\u00e3o de probabilidade dos estimadores.<\/p>\n\n\n\n<p>Um ponto muito importante \u00e9 lembrar que a distribui\u00e7\u00e3o de uma amostra aleat\u00f3ria segue a distribui\u00e7\u00e3o populacional, em outros termos, a <strong>distribui\u00e7\u00e3o de probabilidade da amostra \u00e9 igual \u00e0 distribui\u00e7\u00e3o de probabilidade da popula\u00e7\u00e3o.<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28120955\/image-589.png\" alt=\"Distribui\u00e7\u00e3o Amostral ISS-BH\" class=\"wp-image-917565\" width=\"320\" height=\"133\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28120955\/image-589.png 466w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28120955\/image-589-300x125.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><figcaption> Distribui\u00e7\u00e3o Amostral <\/figcaption><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Distribui\u00e7\u00e3o Amostral da M\u00e9dia<\/h3>\n\n\n\n<p>Dando continuidade ao Resumo sobre Distribui\u00e7\u00e3o Amostral ISS-BH, vejamos sobre a <strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Distribui\u00e7\u00e3o Amostral da M\u00e9dia.<\/span><\/strong><\/p>\n\n\n\n<p>Vamos conhecer a Esperan\u00e7a da m\u00e9dia amostral e a Vari\u00e2ncia da m\u00e9dia amostral.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Esperan\u00e7a da m\u00e9dia amostral<\/span><\/strong><\/li><\/ul>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121005\/image-590.png\" alt=\"\" class=\"wp-image-917566\" width=\"216\" height=\"67\"\/><figcaption>Distribui\u00e7\u00e3o Amostral da M\u00e9dia &#8211; Esperan\u00e7a<\/figcaption><\/figure><\/div>\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Vari\u00e2ncia da m\u00e9dia amostral <\/span><\/strong>(popula\u00e7\u00e3o infinita)<\/li><\/ul>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121013\/image-591.png\" alt=\"\" class=\"wp-image-917567\" width=\"322\" height=\"80\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121013\/image-591.png 413w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121013\/image-591-300x74.png 300w\" sizes=\"auto, (max-width: 322px) 100vw, 322px\" \/><figcaption>Distribui\u00e7\u00e3o Amostral da M\u00e9dia &#8211; Vari\u00e2ncia<\/figcaption><\/figure><\/div>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-purple-color\">Fator de Corre\u00e7\u00e3o para Popula\u00e7\u00e3o Finita<\/span><\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121020\/image-592.png\" alt=\"\" class=\"wp-image-917568\" width=\"313\" height=\"83\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121020\/image-592.png 406w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121020\/image-592-300x80.png 300w\" sizes=\"auto, (max-width: 313px) 100vw, 313px\" \/><figcaption>Fator de corre\u00e7\u00e3o<\/figcaption><\/figure><\/div>\n\n\n\n<p><span class=\"has-inline-color has-luminous-vivid-amber-color\"><strong>Obs.:<\/strong> <\/span>Note que diferentemente da esperan\u00e7a da <strong>m\u00e9dia<\/strong> amostral, a <strong>vari\u00e2ncia<\/strong> da m\u00e9dia amostral diminui conforme o tamanho da amostra.<\/p>\n\n\n\n<p>Outra observa\u00e7\u00e3o a ser feita e que pode gerar alguma confus\u00e3o \u00e9 que vimos inicialmente que a <strong>vari\u00e2ncia amostral \u00e9 igual \u00e0 vari\u00e2ncia populacional<\/strong>, entretanto a <strong>vari\u00e2ncia da m\u00e9dia amostral<\/strong> <strong>\u00e9 diferente<\/strong>. &nbsp;<\/p>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-purple-color\">Exemplo<\/span><\/strong><span class=\"has-inline-color has-vivid-purple-color\">: <\/span>(VUNESP\/2015 \u2013 TJ-SP) Resultados de uma pesquisa declaram que o desvio padr\u00e3o da m\u00e9dia amostral \u00e9 32. Sabendo que o desvio padr\u00e3o populacional \u00e9 192, ent\u00e3o o tamanho da amostra que foi utilizada no estudo foi<\/p>\n\n\n\n<p>A l\u00f3gica que vimos para a vari\u00e2ncia vale para o desvio padr\u00e3o (lembrando que o desvio padr\u00e3o \u00e9 a raiz quadrada da vari\u00e2ncia), assim:<\/p>\n\n\n\n<p>32 = 192 \/ raiz n<\/p>\n\n\n\n<p>raiz n = 192\/32<\/p>\n\n\n\n<p>raiz n = 6<\/p>\n\n\n\n<p>n = 6\u00b2<\/p>\n\n\n\n<p><strong>n = 36<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Distribui\u00e7\u00e3o Amostral da Propor\u00e7\u00e3o<\/h3>\n\n\n\n<p>A <strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Distribui\u00e7\u00e3o Amostral da Propor\u00e7\u00e3o<\/span><\/strong> trata-se de uma distribui\u00e7\u00e3o em que determinada caracter\u00edstica est\u00e1 presente em uma <strong>propor\u00e7\u00e3o p dessa popula\u00e7\u00e3o<\/strong>.<\/p>\n\n\n\n<p>Assim, caso a propor\u00e7\u00e3o populacional seja desconhecida, precisamos <strong>estim\u00e1-la<\/strong> a partir da propor\u00e7\u00e3o de sucessos na amostra.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"377\" height=\"80\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121029\/image-593.png\" alt=\"Distribui\u00e7\u00e3o Amostral ISS-BH\" class=\"wp-image-917569\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121029\/image-593.png 377w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121029\/image-593-300x64.png 300w\" sizes=\"auto, (max-width: 377px) 100vw, 377px\" \/><figcaption>Distribui\u00e7\u00e3o Amostral da Propor\u00e7\u00e3o<\/figcaption><\/figure><\/div>\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Esperan\u00e7a do estimador<\/span><\/strong><\/li><\/ul>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121037\/image-594.png\" alt=\"\" class=\"wp-image-917570\" width=\"214\" height=\"63\"\/><figcaption>Distribui\u00e7\u00e3o Amostral da Propor\u00e7\u00e3o &#8211; esperan\u00e7a<\/figcaption><\/figure><\/div>\n\n\n\n<p>A esperan\u00e7a do estimador \u00e9 igual \u00e0 propor\u00e7\u00e3o populacional<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Vari\u00e2ncia do estimador<\/span><\/strong><\/li><\/ul>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"247\" height=\"86\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121044\/image-595.png\" alt=\"\" class=\"wp-image-917571\"\/><figcaption>Distribui\u00e7\u00e3o Amostral da Propor\u00e7\u00e3o &#8211; Vari\u00e2ncia<\/figcaption><\/figure><\/div>\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Estimativa da vari\u00e2ncia populacional<\/span><\/strong><\/li><\/ul>\n\n\n\n<p>Como n\u00e3o conhecemos a propor\u00e7\u00e3o p, devemos calcular a vari\u00e2ncia populacional a partir dos estimadores.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121050\/image-596.png\" alt=\"\" class=\"wp-image-917572\" width=\"216\" height=\"88\"\/><figcaption>Estimativa da vari\u00e2ncia populacional<\/figcaption><\/figure><\/div>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-purple-color\">Fator de Corre\u00e7\u00e3o para Popula\u00e7\u00e3o Finita<\/span><\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121058\/image-597.png\" alt=\"\" class=\"wp-image-917573\" width=\"300\" height=\"101\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121058\/image-597.png 475w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121058\/image-597-300x100.png 300w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><figcaption>Fator de Corre\u00e7\u00e3o<\/figcaption><\/figure><\/div>\n\n\n\n<p><strong><span class=\"has-inline-color has-luminous-vivid-amber-color\">Obs.:<\/span><\/strong> Caso de popula\u00e7\u00f5es pequenas e sem reposi\u00e7\u00e3o.<\/p>\n\n\n\n<p><span class=\"has-inline-color has-vivid-purple-color\"><strong>Exemplo<\/strong>: <\/span>(CESPE 2016\/TCE-PA) Em estudo acerca da situa\u00e7\u00e3o do CNPJ das empresas de determinado munic\u00edpio, as empresas que estavam com o CNPJ regular foram representadas por 1, ao passo que as com CNPJ irregular foram representadas por 0.<\/p>\n\n\n\n<p>Considerando que a amostra {0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1}<\/p>\n\n\n\n<p>A estimativa pontual da propor\u00e7\u00e3o de empresas da amostra com CNPJ regular \u00e9 superior a 50%.<\/p>\n\n\n\n<p><strong>CORRETO.<\/strong><\/p>\n\n\n\n<p>Estimador = 12 \/ 20 -&gt; soma de todos os valores da amostra pelo n\u00famero de elementos<\/p>\n\n\n\n<p>Estimador = 0,6<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Distribui\u00e7\u00e3o Amostral da Vari\u00e2ncia<\/h3>\n\n\n\n<p>Da mesma forma que vimos, a <strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Distribui\u00e7\u00e3o Amostral da Vari\u00e2ncia<\/span><\/strong> \u00e9 utilizada quando n\u00e3o conhecemos a vari\u00e2ncia da popula\u00e7\u00e3o e devemos estim\u00e1-la a partir da amostra.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Estimador da vari\u00e2ncia<\/span><\/strong><\/li><\/ul>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121109\/image-598.png\" alt=\"Distribui\u00e7\u00e3o Amostral ISS-BH\" class=\"wp-image-917574\" width=\"-14\" height=\"-4\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121109\/image-598.png 341w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121109\/image-598-300x96.png 300w\" sizes=\"(max-width: 341px) 100vw, 341px\" \/><figcaption>Distribui\u00e7\u00e3o Amostral da Vari\u00e2ncia<\/figcaption><\/figure><\/div>\n\n\n\n<p>Da mesma forma que para a vari\u00e2ncia amostral podemos definir que a vari\u00e2ncia \u00e9 a <strong>diferen\u00e7a entre a m\u00e9dia dos quadrados e o quadrado das m\u00e9dias<\/strong>, para o estimador da vari\u00e2ncia vale o mesmo racioc\u00ednio. &nbsp;<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121115\/image-599.png\" alt=\"\" class=\"wp-image-917575\" width=\"406\" height=\"93\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121115\/image-599.png 559w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121115\/image-599-300x69.png 300w\" sizes=\"auto, (max-width: 406px) 100vw, 406px\" \/><figcaption>Vari\u00e2ncia<\/figcaption><\/figure><\/div>\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Esperan\u00e7a, Vari\u00e2ncia e Desvio Padr\u00e3o para o estimador s\u00b2.<\/span><\/strong><\/li><\/ul>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121124\/image-600.png\" alt=\"Distribui\u00e7\u00e3o Amostral ISS-BH\" class=\"wp-image-917576\" width=\"295\" height=\"281\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121124\/image-600.png 413w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121124\/image-600-300x286.png 300w\" sizes=\"auto, (max-width: 295px) 100vw, 295px\" \/><figcaption>Esperan\u00e7a, Vari\u00e2ncia e Desvio Padr\u00e3o para o estimador s\u00b2.<\/figcaption><\/figure><\/div>\n\n\n\n<p>Atente-se que a esperan\u00e7a do estimador \u00e9 igual \u00e0 vari\u00e2ncia populacional.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Estimador Pontual<\/h2>\n\n\n\n<p>Prosseguindo no Resumo sobre Distribui\u00e7\u00e3o Amostral ISS-BH \u2013 Estat\u00edstica, vamos ver um pouco mais sobre os estimadores.<\/p>\n\n\n\n<p>A <strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">estima\u00e7\u00e3o pontual<\/span><\/strong> nada mais \u00e9 que o <strong>valor calculado pelo estimador<\/strong>.<\/p>\n\n\n\n<p>Inicialmente vimos os estimadores para m\u00e9dia amostral, propor\u00e7\u00e3o amostral e vari\u00e2ncia amostral, agora vamos conhecer algumas propriedades.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Propriedades dos Estimadores<\/h3>\n\n\n\n<p>Vamos conhecer as Propriedades dos Estimadores.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Sufici\u00eancia<\/span><\/strong>: A estat\u00edstica (fun\u00e7\u00e3o dos dados observados) deve ser suficiente, ou seja, <strong>contemplar todas informa\u00e7\u00f5es <\/strong>dispon\u00edveis na amostra <strong>para estimar o par\u00e2metro populacional.<\/strong><\/li><\/ul>\n\n\n\n<p>A distribui\u00e7\u00e3o da amostra, condicionada ao par\u00e2metro (ex. m\u00e9dia amostral), \u00e9 independente do par\u00e2metro populacional.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">N\u00e3o Tendencioso<\/span><\/strong> (n\u00e3o vi\u00e9s): A <strong>esperan\u00e7a do estimador \u00e9 igual ao par\u00e2metro populacional<\/strong><\/li><\/ul>\n\n\n\n<p>Tamb\u00e9m podemos entender que a esperan\u00e7a do erro (vi\u00e9s do estimador ou tendenciosidade) deve ser zero para um estimador n\u00e3o tendencioso.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Eficiente<\/span><\/strong>: Dizemos que a <strong>vari\u00e2ncia deve ser a menor poss\u00edvel<\/strong><\/li><\/ul>\n\n\n\n<p>Trata-se da vari\u00e2ncia do erro \u00e9 igual ao Erro Quadr\u00e1tico M\u00e9dio (EQM), ou seja, a soma da vari\u00e2ncia do estimador com o quadrado do vi\u00e9s do estimador.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121133\/image-601.png\" alt=\"\" class=\"wp-image-917577\" width=\"-92\" height=\"-17\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121133\/image-601.png 616w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121133\/image-601-300x58.png 300w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121133\/image-601-610x119.png 610w\" sizes=\"(max-width: 616px) 100vw, 616px\" \/><figcaption>EQM<\/figcaption><\/figure><\/div>\n\n\n\n<p>E para estimadores n\u00e3o viesados, o vi\u00e9s do estimador b\u00b2 \u00e9 zero.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">Consistente<\/span>:<\/strong> estimativas convergem com o aumento do tamanho amostral, ou seja, convergem para o par\u00e2metro populacional<\/li><\/ul>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121141\/image-602.png\" alt=\"\" class=\"wp-image-917578\" width=\"-115\" height=\"-21\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121141\/image-602.png 670w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121141\/image-602-300x56.png 300w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121141\/image-602-610x114.png 610w\" sizes=\"(max-width: 670px) 100vw, 670px\" \/><figcaption>Consist\u00eancia do estimador<\/figcaption><\/figure><\/div>\n\n\n\n<p>O estimador \u00e9 consistente se a esperan\u00e7a tende ao estimador e a vari\u00e2ncia tende a zero, conforme o aumento da amostra.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">M\u00e9todos de Estima\u00e7\u00e3o<\/h3>\n\n\n\n<p>Para finalizar o Resumo sobre Distribui\u00e7\u00e3o Amostral ISS-BH, vamos ver os <strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">M\u00e9todos de Estima\u00e7\u00e3o<\/span><\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">M\u00e9todo dos Momentos:<\/span><\/strong> baseia-se nos momentos te\u00f3ricos e amostrais das vari\u00e1veis aleat\u00f3rias<\/li><\/ul>\n\n\n\n<p>Assim, para utilizarmos o m\u00e9todo dos momentos (EMM) devemos igualar os momentos te\u00f3ricos (ou populacionais) aos momentos amostrais.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121153\/image-603.png\" alt=\"Distribui\u00e7\u00e3o Amostral ISS-BH\" class=\"wp-image-917579\" width=\"-40\" height=\"-21\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121153\/image-603.png 339w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121153\/image-603-300x155.png 300w\" sizes=\"(max-width: 339px) 100vw, 339px\" \/><figcaption>M\u00e9todo dos Momentos<\/figcaption><\/figure><\/div>\n\n\n\n<p>Uma defini\u00e7\u00e3o interessante dada pela CONSULPLAN: \u201c<em>Este m\u00e9todo iguala os momentos da popula\u00e7\u00e3o aos momentos amostrais. Os estimadores s\u00e3o obtidos resolvendo a equa\u00e7\u00e3o ou o sistema de equa\u00e7\u00f5es resultante.\u201d<\/em><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span class=\"has-inline-color has-vivid-green-cyan-color\">M\u00e9todo da M\u00e1xima Verossimilhan\u00e7a: <\/span><\/strong>busca a estimada com maior probabilidade poss\u00edvel entre os valores observados.<\/li><\/ul>\n\n\n\n<p>Trata-se de um m\u00e9todo &#8220;complicado&#8221;, pois h\u00e1 uma fun\u00e7\u00e3o diferente de acordo com a distribui\u00e7\u00e3o da popula\u00e7\u00e3o.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><span class=\"has-inline-color has-vivid-green-cyan-color\"><strong>M\u00e9todo de M\u00ednimos Quadrados:<\/strong> <\/span>busca a estimativa que resulta no menor valor para o quadrado das diferen\u00e7as entre os valores observados e o estimador.<\/li><\/ul>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121201\/image-604.png\" alt=\"Distribui\u00e7\u00e3o Amostral ISS-BH\" class=\"wp-image-917580\" width=\"-29\" height=\"-12\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121201\/image-604.png 473w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/28121201\/image-604-300x122.png 300w\" sizes=\"(max-width: 473px) 100vw, 473px\" \/><figcaption>M\u00e9todo de M\u00ednimos Quadrados<\/figcaption><\/figure><\/div>\n\n\n\n<p>Em outros termos, busca minimizar o erro quadr\u00e1tico total da amostra.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Considera\u00e7\u00f5es Finais<\/h2>\n\n\n\n<p>Pessoal, chegamos ao final dos Conceitos Iniciais estat\u00edstica para ISS-BH. Espero que tenham gostado.<\/p>\n\n\n\n<p>Obviamente trata-se de um resumo apenas com os pontos principais da mat\u00e9ria, as aulas s\u00e3o bem aprofundadas em exemplos e explana\u00e7\u00f5es al\u00e9m de assuntos que tamb\u00e9m s\u00e3o importantes como a <strong>infer\u00eancia Bayesiana<\/strong> (ou estat\u00edstica Bayesiana), assim n\u00e3o deixe de acompanhar as aulas para o aprofundamento necess\u00e1rio.<\/p>\n\n\n\n<p>A estat\u00edstica, como as mat\u00e9rias de exatas no geral, s\u00f3 se aprende de fato por meio de muito exerc\u00edcios, logo deixe de praticar.<\/p>\n\n\n\n<p class=\"has-text-align-center\"><a href=\"https:\/\/concursos.estrategiaeducacional.com.br\/\">Sistema de Quest\u00f5es (SQ) \u2013 Estrat\u00e9gia Concursos<\/a><\/p>\n\n\n\n<p>Gostou do artigo? N\u00e3o deixe de seguir<\/p>\n\n\n\n<p><a href=\"https:\/\/www.instagram.com\/resumospassarin\/\">https:\/\/www.instagram.com\/resumospassarin\/<\/a><\/p>\n\n\n\n<h2 class=\"has-text-align-center wp-block-heading\" id=\"h-cursos-e-assinaturas\">Cursos e Assinaturas<\/h2>\n\n\n\n<div class=\"container\" id=\"boxes\">\n  <div class=\"row\">\n\n    <div class=\"col-sm\">\n      <div class=\"estrategia\" id=\"box-assinatura\">\n        <h3 class=\"titulo-assinatura\">Assinatura Concursos<\/h3>\n        <p class=\"subtitulo-assinatura\">Assinatura de 1 ano ou 2 anos<\/p>\n        <div class=\"box-botao\">\n          <a class=\"btn-assinatura\" target=\"_blank\" href=\"https:\/\/www.estrategiaconcursos.com.br\/assinaturas\/\" role=\"button\" rel=\"noopener noreferrer\">ASSINE AGORA<\/a>\n        <\/div>\n      <\/div><\/div><\/div><\/div>\n\n\n\n<div class=\"container\" id=\"boxes\">\n  <div class=\"row\">\n\n    <div class=\"col-sm\" id=\"boxes-concursos\">\n      <div style=\"background-color: #005DAD;\" class=\"conteudo-concursos\" id=\"box-concursos\">\n        <h3 class=\"titulo-assinatura\">Concursos Abertos<\/h3>\n        <p class=\"subtitulo-assinatura\">Os editais publicados<\/p>\n        <div class=\"box-botao\">\n          <a class=\"btn-assinatura\" target=\"_blank\" href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/concursos-abertos\/\" role=\"button\" rel=\"noopener noreferrer\">Conhe\u00e7a Agora<\/a>\n        <\/div>\n      <\/div>\n    <\/div>\n\n    <div class=\"col-sm\" id=\"boxes-concursos\">\n      <div style=\"background-color: #1A7ED5;\" class=\"conteudo-concursos\" id=\"box-concursos\">\n        <h3 class=\"titulo-assinatura\">Concursos 2021<\/h3>\n        <p class=\"subtitulo-assinatura\">As oportunidades previstas<\/p>\n        <div class=\"box-botao\">\n          <a class=\"btn-assinatura\" target=\"_blank\" href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/concursos-2021\/\" role=\"button\" rel=\"noopener noreferrer\">Conhe\u00e7a Agora<\/a>\n        <\/div>\n      <\/div>\n    <\/div>\n\n    <div class=\"col-sm\" id=\"boxes-concursos\">\n      <div style=\"background-color: #419FF0;\" class=\"conteudo-concursos\" id=\"box-concursos\">\n        <h3 class=\"titulo-assinatura\">Concursos 2022<\/h3>\n        <p class=\"subtitulo-assinatura\">Vagas para o pr\u00f3ximo ano<\/p>\n        <div class=\"box-botao\">\n          <a class=\"btn-assinatura\" target=\"_blank\" href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/concursos-2022\/\" role=\"button\" rel=\"noopener noreferrer\">Conhe\u00e7a Agora<\/a>\n        <\/div>\n      <\/div>\n    <\/div>\n\n  <\/div>\n<\/div>\n\n\n\n<div class=\"container\" id=\"boxes\">\n  <div class=\"row\">\n\n    <div class=\"col-sm\">\n      <div class=\"banner-tribunal\" id=\"box-assinatura\">\n        <h3 class=\"titulo-assinatura\">Cursos para Carreiras Jur\u00eddicas<\/h3>\n        <p class=\"subtitulo-assinatura\">Conhe\u00e7a os cursos<\/p>\n        <div class=\"box-botao\">\n          <a class=\"btn-assinatura\" target=\"_blank\" href=\"https:\/\/www.estrategiaconcursos.com.br\/cursosPorConcurso\/assinaturas-carreira-juridica\/\" rel=\"noopener noreferrer\">Conhe\u00e7a mais<\/a>\n        <\/div>\n      <\/div>\n      <p class=\"texto-auxiliar\">Prepare-se com o melhor material e com quem mais aprova em Concursos P\u00fablicos em todo o pa\u00eds.<\/p>\n    <\/div>\n\n  <\/div>\n<\/div>\n\n\n\n<p>At\u00e9 mais e bons estudos!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ol\u00e1, pessoal. Tudo certo? No artigo de hoje veremos o Resumo sobre Distribui\u00e7\u00e3o Amostral ISS-BH. Os assuntos que ser\u00e3o tratados: Distribui\u00e7\u00e3o Amostral da M\u00e9dia Distribui\u00e7\u00e3o Amostral da Propor\u00e7\u00e3o Distribui\u00e7\u00e3o Amostral da Vari\u00e2ncia Estimador Pontual (propriedades e m\u00e9todos de estima\u00e7\u00e3o) Assim, vamos l\u00e1. Distribui\u00e7\u00e3o Amostral Vamos iniciar o Resumo sobre Distribui\u00e7\u00e3o Amostral ISS-BH. Podemos definir a [&hellip;]<\/p>\n","protected":false},"author":1763,"featured_media":900185,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"post_tipo":"article","footnotes":""},"categories":[1,220183],"tags":[],"tax_estado":[219974],"class_list":["post-917564","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cursos-e-concursos","category-fiscal-municipal","tax_estado-mg"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.2 (Yoast SEO v27.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Resumo sobre Distribui\u00e7\u00e3o Amostral ISS-BH - Estat\u00edstica<\/title>\n<meta name=\"description\" content=\"Veja neste artigo o Resumo sobre Distribui\u00e7\u00e3o Amostral ISS-BH, essa sendo conceituada como a distribui\u00e7\u00e3o de probabilidade dos estimadores.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/distribuicao-amostral-iss-bh-estatistica\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Resumo sobre Distribui\u00e7\u00e3o Amostral ISS-BH - Estat\u00edstica\" \/>\n<meta property=\"og:description\" content=\"Veja neste artigo o Resumo sobre Distribui\u00e7\u00e3o Amostral ISS-BH, essa sendo conceituada como a distribui\u00e7\u00e3o de probabilidade dos estimadores.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/distribuicao-amostral-iss-bh-estatistica\/\" \/>\n<meta property=\"og:site_name\" content=\"Estrat\u00e9gia Concursos\" \/>\n<meta property=\"article:published_time\" content=\"2021-12-23T11:27:00+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2021\/11\/04080518\/iss-bh.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"329\" \/>\n\t<meta property=\"og:image:height\" content=\"153\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Leonardo Menezes Passarin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@EstratConcursos\" \/>\n<meta name=\"twitter:site\" content=\"@EstratConcursos\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Leonardo Menezes Passarin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. tempo de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"9 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"NewsArticle\",\"@id\":\"https:\/\/www.estrategiaconcursos.com.br\/blog\/distribuicao-amostral-iss-bh-estatistica\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.estrategiaconcursos.com.br\/blog\/distribuicao-amostral-iss-bh-estatistica\/\"},\"author\":{\"name\":\"Leonardo Menezes Passarin\",\"@id\":\"https:\/\/www.estrategiaconcursos.com.br\/blog\/#\/schema\/person\/245b44e43eb13f0dbd04a7a078cd0d0d\"},\"headline\":\"Resumo sobre Distribui\u00e7\u00e3o Amostral ISS-BH &#8211; 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