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On Lin's condition for products of random variables
Alexander Il'inskii, Sofiya Ostrovska · 2017-07-22 · via math.PR updates on arXiv.org

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 $ξ_1$ and $ξ_2$ 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 Also, it is shown that without the condition of independence, the statement is no longer valid.

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