具有奇异联合分布的随机变量乘积的林条件

Pub Date : 2017-07-21 DOI:10.15407/MAG15.01.079

A. Il'inskii, Sofiya Ostrovska

{"title":"具有奇异联合分布的随机变量乘积的林条件","authors":"A. Il'inskii, Sofiya Ostrovska","doi":"10.15407/MAG15.01.079","DOIUrl":null,"url":null,"abstract":"The paper presents an elaboration of some results on Lin's conditions. A new proof of the fact that if densities of independent random variables $\\xi_1$ and $\\xi_2$ satisfy Lin's condition, the same is true for their product is presented. Also, it is shown that without the condition of independence, the statement is no longer valid.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2017-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Lin's condition for products of random variables with singular joint distribution\",\"authors\":\"A. Il'inskii, Sofiya Ostrovska\",\"doi\":\"10.15407/MAG15.01.079\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper presents an elaboration of some results on Lin's conditions. A new proof of the fact that if densities of independent random variables $\\\\xi_1$ and $\\\\xi_2$ satisfy Lin's condition, the same is true for their product is presented. Also, it is shown that without the condition of independence, the statement is no longer valid.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2017-07-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.15407/MAG15.01.079\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.15407/MAG15.01.079","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

本文阐述了林条件的一些结果。给出了一个新的证明：如果独立随机变量$\si_1$和$\si_2$的密度满足Lin条件，则它们的乘积也是如此。此外，还表明，如果没有独立性的条件，该声明就不再有效。

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

On Lin's condition for products of random variables with singular joint distribution

The paper presents an elaboration of some results on Lin's conditions. A new proof of the fact that if densities of independent random variables $\xi_1$ and $\xi_2$ satisfy Lin's condition, the same is true for their product is presented. Also, it is shown that without the condition of independence, the statement is no longer valid.

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