{"title":"Asymptotic bias of $C_p$ type criterion for model selection in the GEE when the sample size and the cluster sizes are large","authors":"Tomoharu Sato","doi":"10.32917/hmj/1595901629","DOIUrl":null,"url":null,"abstract":"A bstract . In this paper, we evaluate the asymptotic bias of C p type criterion for model selection in the GEE (generalized estimating equation) method when the sample and cluster sizes are large. We present the asymptotic properties of GEE estimator and the model selection criterion. Then, we present the order of the asymptotic bias of PMSEG (the prediction mean squared error in the GEE).","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Hiroshima Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.32917/hmj/1595901629","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
A bstract . In this paper, we evaluate the asymptotic bias of C p type criterion for model selection in the GEE (generalized estimating equation) method when the sample and cluster sizes are large. We present the asymptotic properties of GEE estimator and the model selection criterion. Then, we present the order of the asymptotic bias of PMSEG (the prediction mean squared error in the GEE).
期刊介绍:
Hiroshima Mathematical Journal (HMJ) is a continuation of Journal of Science of the Hiroshima University, Series A, Vol. 1 - 24 (1930 - 1960), and Journal of Science of the Hiroshima University, Series A - I , Vol. 25 - 34 (1961 - 1970).
Starting with Volume 4 (1974), each volume of HMJ consists of three numbers annually. This journal publishes original papers in pure and applied mathematics. HMJ is an (electronically) open access journal from Volume 36, Number 1.