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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
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
Аннотация:
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 Also, it is shown that without the condition of independence, the statement is no longer valid.
Ключевые слова и фразы:
random variable, absolutely continuous distribution, Lin's condition.
Поступила в редакцию: 27.09.2017
Образец цитирования:
Alexander Il'inskii, Sofiya Ostrovska, “On Lin's condition for products of random variables”, Журн. матем. физ., анал., геом., 15:1 (2019), 79–85
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag715 https://www.mathnet.ru/rus/jmag/v15/i1/p79
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