{"title":"测试","authors":"J. Hunt","doi":"10.4324/9781003122296-7","DOIUrl":null,"url":null,"abstract":"A fancy new restaurant has opened up that features only 4 dishes. The unique feature of dining here is that they will serve you any of the four dishes randomly according to the following probability distribution: give dish A with probability 0.5, dish B with probability θ, dish C with probability 2θ, and dish D with probability 0.5 ́ 3θ. Each diner is served a dish independently. Let xA be the number of people who received dish A, xB the number of people who received dish B, etc, where xA ` xB ` xC ` xD “ n. Find the MLE for θ, θ̂.","PeriodicalId":306258,"journal":{"name":"Sex Ed for Grown-Ups","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quiz\",\"authors\":\"J. Hunt\",\"doi\":\"10.4324/9781003122296-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A fancy new restaurant has opened up that features only 4 dishes. The unique feature of dining here is that they will serve you any of the four dishes randomly according to the following probability distribution: give dish A with probability 0.5, dish B with probability θ, dish C with probability 2θ, and dish D with probability 0.5 ́ 3θ. Each diner is served a dish independently. Let xA be the number of people who received dish A, xB the number of people who received dish B, etc, where xA ` xB ` xC ` xD “ n. Find the MLE for θ, θ̂.\",\"PeriodicalId\":306258,\"journal\":{\"name\":\"Sex Ed for Grown-Ups\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Sex Ed for Grown-Ups\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4324/9781003122296-7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Sex Ed for Grown-Ups","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4324/9781003122296-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A fancy new restaurant has opened up that features only 4 dishes. The unique feature of dining here is that they will serve you any of the four dishes randomly according to the following probability distribution: give dish A with probability 0.5, dish B with probability θ, dish C with probability 2θ, and dish D with probability 0.5 ́ 3θ. Each diner is served a dish independently. Let xA be the number of people who received dish A, xB the number of people who received dish B, etc, where xA ` xB ` xC ` xD “ n. Find the MLE for θ, θ̂.
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