Geodesic
A~central limit theorem for a~sequence of random variables with slowly growing number of dependences
Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 4, pp. 757-766

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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. 
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     author = {M. B. Petrovskaya and A. M. Leontovi\v{c}},
     title = {A~central limit theorem for a~sequence of random variables with slowly growing number of dependences},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {757--766},
     publisher = {mathdoc},
     volume = {27},
     number = {4},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a9/}
}
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M. B. Petrovskaya; A. M. Leontovič. A~central limit theorem for a~sequence of random variables with slowly growing number of dependences. Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 4, pp. 757-766. http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a9/