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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2019, Volume 15, Number 1, Pages 79–85
DOI: https://doi.org/10.15407/mag15.01.079 (Mi jmag715) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Lin's condition for products of random variables

Alexander Il'inskiia, Sofiya Ostrovskab

a V.N. Karazin Kharkiv National University, 4 Svobody sq., Kharkiv, 61077, Ukraine
b Atilim University, Incek, 06830, Ankara, Turkey
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DOI: https://doi.org/10.15407/mag15.01.079
Abstract: 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 Also, it is shown that without the condition of independence, the statement is no longer valid.
Key words and phrases: random variable, absolutely continuous distribution, Lin's condition.
Received: 27.09.2017
Bibliographic databases:
Document Type: Article
MSC: 60E05.
Language: English
Citation: Alexander Il'inskii, Sofiya Ostrovska, “On Lin's condition for products of random variables”, Zh. Mat. Fiz. Anal. Geom., 15:1 (2019), 79–85
Citation in format AMSBIB
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\by Alexander~Il'inskii, Sofiya~Ostrovska
\paper On Lin's condition for products of random variables
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2019
\vol 15
\issue 1
\pages 79--85
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\crossref{https://doi.org/10.15407/mag15.01.079}
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