{"title":"关于泊松回归函数的一次非参数估计","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":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":null,\"pages\":null},\"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}","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
摘要
概率论及其应用》（Theory of Probability &Its Applications），第 69 卷第 2 期，第 173-185 页，2024 年 8 月。 建立了泊松回归函数非参数核型估计器积分平方差的极限分布。构建了检验泊松回归函数假设的准则。针对某些类型的近似替代方案，研究了所构建标准的幂渐近性。
On One Nonparametric Estimation of the Poisson Regression Function
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.
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