On Asymptotic Expansion in the Random Allocation of Particles by Sets

Saidbek S. Mirakhmedov () and Sherzod M. Mirakhmedov ()
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Saidbek S. Mirakhmedov: Institute of Algorithm and Engineering
Sherzod M. Mirakhmedov: GIK Institute of Engineering Sciences and Technology

Journal of Theoretical Probability, 2010, vol. 23, issue 3, 904-919

Abstract: Abstract We consider a scheme of equiprobable allocation of particles into cells by sets. An Edgeworth-type asymptotic expansion in the local central limit theorem for the number of empty cells left after allocation of all sets of particles is derived.

Keywords: Asymptotic expansion; Allocation scheme; Empty cells; Bernoulli distribution; 62G20; 60F05 (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s10959-009-0225-7

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