{"title":"On One Nonparametric Estimation of the Poisson Regression Function","authors":"P. K. Babilua, E. A. Nadaraya","doi":"10.1137/s0040585x97t991842","DOIUrl":null,"url":null,"abstract":"Theory of Probability &Its Applications, Volume 69, Issue 2, Page 173-185, August 2024. <br/> The limiting distribution of the integral square deviation of a nonparametric kernel-type estimator for the Poisson regression function is established. A criterion for testing the hypothesis on the Poisson regression function is constructed. The power asymptotic of the constructed criterion is studied for certain types of close alternatives.","PeriodicalId":51193,"journal":{"name":"Theory of Probability and its Applications","volume":"32 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theory of Probability and its Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1137/s0040585x97t991842","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 0
Abstract
Theory of Probability &Its Applications, Volume 69, Issue 2, Page 173-185, August 2024. The limiting distribution of the integral square deviation of a nonparametric kernel-type estimator for the Poisson regression function is established. A criterion for testing the hypothesis on the Poisson regression function is constructed. The power asymptotic of the constructed criterion is studied for certain types of close alternatives.
期刊介绍:
Theory of Probability and Its Applications (TVP) accepts original articles and communications on the theory of probability, general problems of mathematical statistics, and applications of the theory of probability to natural science and technology. Articles of the latter type will be accepted only if the mathematical methods applied are essentially new.