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Symmetrization resistance for exponential and geometric distributions

Li, Jiange
arXiv (All) · Papers
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probability
Given a random variable $X$, an independent random variable $Y$ is called a symmetrizer of $X$ if their sum $X+Y$ is symmetric about the origin. The study of symmetrization resistance asks whether every such $Y$ must contain at least as much randomness as $X$. This problem was previously investigate
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