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Teoriya Veroyatnostei i ee Primeneniya, 1982, Volume 27, Issue 4, Pages 757–766
(Mi tvp2430)
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This article is cited in 11 scientific papers (total in 11 papers)
A central limit theorem for a sequence of random variables with slowly growing number of dependences
M. B. Petrovskaya, A. M. Leontovič Moscow
Abstract:
We prove a CLT for a sequence of random variables only some of which are dependent. As a consequence we obtain a CLT for random variables characterising the set of the moments of the cell's division in the $m^{th}$ ($m\to\infty$) generation of a specific branching process. The last problem is connected with biological models of cell populations.
Received: 20.12.1977 Revised: 28.04.1980
Citation:
M. B. Petrovskaya, A. M. Leontovič, “A central limit theorem for a sequence of random variables with slowly growing number of dependences”, Teor. Veroyatnost. i Primenen., 27:4 (1982), 757–766; Theory Probab. Appl., 27:4 (1983), 815–825
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Abstract page: | 200 | Full-text PDF : | 191 |
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