Il'inskii, AlexanderOstrovska, SofiyaMathematics2024-10-062024-10-0620191812-94711817-5805https://hdl.handle.net/20.500.14411/8853The 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 Also, it is shown that without the condition of independence, the statement is no longer valid.eninfo:eu-repo/semantics/closedAccessrandom variableabsolutely continuous distributionLin's conditionArticleQ4Q41517985WOS:0004611774000031