On Lin’s Condition for Products of Random Variables

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2019

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B. I. Verkin Institute for Low Temperature Physics and Engineering

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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 Also, it is shown that without the condition of independence, the statement is no longer valid.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

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Absolutely continuous distribution, Lin’s condition, Random variable

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Journal of Mathematical Physics, Analysis, Geometry

Volume

15

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1

Start Page

79

End Page

85

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https://doi.org/10.15407/mag15.01.079
 https://hdl.handle.net/20.500.14411/3931

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