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

IF 0.4 4区数学 Q4 STATISTICS & PROBABILITY

Probability and Mathematical Statistics-Poland Pub Date : 2017-07-21 DOI:10.15407/MAG15.01.079

A. Il'inskii, Sofiya Ostrovska

引用次数: 0

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 Also, it is shown that without the condition of independence, the statement is no longer valid.

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具有奇异联合分布的随机变量乘积的林条件

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。

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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.