关于尾概率的单调性

IF 0.4 4区数学 Q4 STATISTICS & PROBABILITY

Probability and Mathematical Statistics-Poland Pub Date : 2022-01-01 DOI:10.37190/0208-4147.00050

C. Pelekis, R. Fokkink, S. Papavassiliou

{"title":"关于尾概率的单调性","authors":"C. Pelekis, R. Fokkink, S. Papavassiliou","doi":"10.37190/0208-4147.00050","DOIUrl":null,"url":null,"abstract":". Let S and X be independent random variables, assuming values in the set of non-negative integers, and suppose further that both E ( S ) and E ( X ) are integers satisfying E ( S ) › E ( X ) . We establish a sufﬁcient condition for the tail probability P ( S › E ( S )) to be larger than the tail P ( S + X › E ( S + X )) , when the mean of S is equal to the mode.","PeriodicalId":48996,"journal":{"name":"Probability and Mathematical Statistics-Poland","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the monotonicity of tail probabilities\",\"authors\":\"C. Pelekis, R. Fokkink, S. Papavassiliou\",\"doi\":\"10.37190/0208-4147.00050\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Let S and X be independent random variables, assuming values in the set of non-negative integers, and suppose further that both E ( S ) and E ( X ) are integers satisfying E ( S ) › E ( X ) . We establish a sufﬁcient condition for the tail probability P ( S › E ( S )) to be larger than the tail P ( S + X › E ( S + X )) , when the mean of S is equal to the mode.\",\"PeriodicalId\":48996,\"journal\":{\"name\":\"Probability and Mathematical Statistics-Poland\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Probability and Mathematical Statistics-Poland\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.37190/0208-4147.00050\",\"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":"Probability and Mathematical Statistics-Poland","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.37190/0208-4147.00050","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

．设S和X为独立随机变量，设值在非负整数集合中，并进一步假设E (S)和E (X)都是满足E (S)›E (X)的整数。当S的均值等于模态时，我们建立了尾部概率P (S›E (S))大于尾部概率P (S + X›E (S + X))的充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On the monotonicity of tail probabilities

. Let S and X be independent random variables, assuming values in the set of non-negative integers, and suppose further that both E ( S ) and E ( X ) are integers satisfying E ( S ) › E ( X ) . We establish a sufﬁcient condition for the tail probability P ( S › E ( S )) to be larger than the tail P ( S + X › E ( S + X )) , when the mean of S is equal to the mode.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Probability and Mathematical Statistics-Poland STATISTICS & PROBABILITY-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： PROBABILITY AND MATHEMATICAL STATISTICS is published by the Kazimierz Urbanik Center for Probability and Mathematical Statistics, and is sponsored jointly by the Faculty of Mathematics and Computer Science of University of Wrocław and the Faculty of Pure and Applied Mathematics of Wrocław University of Science and Technology. The purpose of the journal is to publish original contributions to the theory of probability and mathematical statistics.