- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2017 10 (3)
- Authors
- Chebotarev, Sergey V.
- Contact information
- Chebotarev, Sergey V.: Altai state pedagogical university Molodezhnaya, 55, Barnaul, 656015 Russia;
- Keywords
- dependent random variables; the sums of dependent random variables; limit distribution of sums of random variables; the normality of the limit distribution of sums of random variables
- Abstract
Considers centered sequence of absolutely continuous random variables with a non-trivial weak limit of the sums p1 n Σn i=1 i. We found a general view of the limit distribution. It is shown that the form of the limit distribution depends only on the average mixed moments of the first order, describing the sequence of Rademacher random variables, into which can be decomposed the elements of the given sequen
- Pages
- 310–313
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/33618
Journal of Siberian Federal University. Mathematics & Physics / On the Limit Distribution of Sums of Real Random Variables
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