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

Alexander Il'inskii; Sofiya Ostrovska

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arXiv · 1806.07646

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

Alexander Il'inskii·Sofiya Ostrovska

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Abstract

Lin's condition is used to establish the moment determinacy/indeterminacy of absolutely continuous probability distributions. Recently, a number of papers related to Lin's condition for functions of random variables have emerged. In this work, Lin's condition is studied for the product of random variables with given densities in the case when their joint distribution is singular.

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Alexander Il'inskii, Sofiya Ostrovska. 2018-06-20. On Lin's condition for products of random variables with joint singular distribution. https://arxiv.org/abs/1806.07646

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