Geodesic
On Lin's condition for products of random variables
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 15 (2019) no. 1, pp. 79-85 
Alexander Il'inskii; Sofiya Ostrovska. On Lin's condition for products of random variables. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 15 (2019) no. 1, pp. 79-85. http://geodesic.mathdoc.fr/item/JMAG_2019_15_1_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The paper presents an elaboration of some results on Lin's conditions. A new proof is given to the fact that if densities of independent random variables $\xi_1$ and $\xi_2$ satisfy Lin's condition, then the same is true for their product. Also, it is shown that without the condition of independence, the statement is no longer valid.

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