Geodesic
Asymptotic normality in a scheme of finitely dependent distribution of particles in cells
Sbornik. Mathematics, Tome 47 (1984) no. 2, pp. 499-512

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A scheme of finitely dependent (and, generally speaking, nonstationary) distribution of particles in a countable collection of cells is considered. Sufficient conditions are given for asymptotic normality of the random variables $\mu_r$ (the number of cells containing exactly $r$ particles each), $\mu$ (the number of occupied cells), and $\xi_r$ (the number of $r$-fold repetitions). For $\mu_r$ these conditions correspond to the “left intermediate domain of variation of the parameters”, while for $\xi_r$ they include also the “central domain”. The method of moments is used in the proof. Bibliography: 6 titles. 
@article{SM_1984_47_2_a12,
     author = {V. G. Mikhailov},
     title = {Asymptotic normality in a scheme of finitely dependent distribution of particles in cells},
     journal = {Sbornik. Mathematics},
     pages = {499--512},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1984_47_2_a12/}
}
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V. G. Mikhailov. Asymptotic normality in a scheme of finitely dependent distribution of particles in cells. Sbornik. Mathematics, Tome 47 (1984) no. 2, pp. 499-512. http://geodesic.mathdoc.fr/item/SM_1984_47_2_a12/