Geodesic
On some limit properties for the power series distribution
Diskretnaya Matematika, Tome 34 (2022) no. 1, pp. 88-102

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In the present paper, we consider random variables with the power series distribution which is often used in the study of the generalized allocation scheme. We establish some asymptotic properties which include law of large numbers, moderate deviation principle, almost sure central limit theorem and the rate of convergence in the local limit theorem. These results supplements results obtained by A. V.\;Kolchin.
Keywords: Allocation scheme, power series distribution, law of large numbers, almost sure central limit theorem, moderate deviation principle, local limit theorem. 
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     title = {On some limit properties for the power series distribution},
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Yu. Miao; Ya. Tang; X. Qu; G. Yang. On some limit properties for the power series distribution. Diskretnaya Matematika, Tome 34 (2022) no. 1, pp. 88-102. http://geodesic.mathdoc.fr/item/DM_2022_34_1_a6/