{"title":"Linear Models","authors":"Cedric E. Ginestet","doi":"10.1201/9781315367002-6","DOIUrl":"https://doi.org/10.1201/9781315367002-6","url":null,"abstract":"1.2 BLUEs Definition 1. Given a random sample, Y1, . . . , Yn ind ∼ f(X,β); an estimator β̂(Y1, . . . , Yn) of the parameter β is said to be unbiased if E[β̂|X] = β, for every β ∈ Rp . Definition 2. An estimator β̂ of a parameter β is said to be Best Linear Unbiased Estimator (BLUE), if it is a linear function of the observed values y, an unbiased estimator of β; and if for any other linear unbiased estimator β̃, we have Var[β̂|X] ≤ Var[β̃|X].","PeriodicalId":286721,"journal":{"name":"Machine Learning Fundamentals","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124590635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Other Probability Distributions","authors":"","doi":"10.1017/9781108938051.021","DOIUrl":"https://doi.org/10.1017/9781108938051.021","url":null,"abstract":"","PeriodicalId":286721,"journal":{"name":"Machine Learning Fundamentals","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132567883","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Supervised Machine Learning (in a Nutshell)","authors":"","doi":"10.1017/9781108938051.005","DOIUrl":"https://doi.org/10.1017/9781108938051.005","url":null,"abstract":"","PeriodicalId":286721,"journal":{"name":"Machine Learning Fundamentals","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130207962","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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