Il’inskii,A.Ostrovska,S.Mathematics2024-07-052024-07-0520191812-947110.15407/mag15.01.0792-s2.0-85065720397https://doi.org/10.15407/mag15.01.079https://hdl.handle.net/20.500.14411/3931The 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 ξ 1 and ξ 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 Also, it is shown that without the condition of independence, the statement is no longer valid. © Alexander Il’inskii and Sofiya Ostrovska, 2019.eninfo:eu-repo/semantics/openAccessAbsolutely continuous distributionLin’s conditionRandom variableArticleQ4Q415179851