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- W4288088475 abstract "We are concerned with the general problem of proving the existence of joint distributions of two discrete random variables $M$ and $N$ subject to infinitely many constraints of the form $mathbb{P}left(M=i,N=jright)=0$. In particular, the variable $M$ has a countably infinite range and the other variable $N$ is uniformly distributed with finite range. The constraints placed on the joint distribution will require, for some $j$'s in the range of $N$, $pleft(i,jright)=0$ for infinitely many values of $i$ in the range of $M$. To prove the existence of such a joint distribution, we provide a technique that furnishes the existence of an $inftytimes n$ matrix consisting of non-negative real numbers whose row and column sums are known, with zeros in infinitely many pre-specified locations." @default.
- W4288088475 created "2022-07-28" @default.
- W4288088475 creator A5039646890 @default.
- W4288088475 date "2019-10-28" @default.
- W4288088475 modified "2023-10-18" @default.
- W4288088475 title "On the Dependence of the Component Counting Process of a Discrete Uniform Random Variable" @default.
- W4288088475 doi "https://doi.org/10.48550/arxiv.1910.12841" @default.
- W4288088475 hasPublicationYear "2019" @default.
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