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 Also, it is shown that without the condition of independence, the statement is no longer valid.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