Article

On the Number of Empty Cells in a Non-Homogeneous Allocation Scheme

F. A. AbdushukurovYeoju Technical Institute in Tashkent, 100121, Tashkent, UzbekistanA. N. ChuprunovKazan (Volga Region) Federal University, 420008, Kazan, Tatarstan, Russia

Lobachevskii Journal of Mathematicsjournal2021en

ABI

Abstract

It considered a non-homogeneous allocation scheme of distinguishable particles by different cells. We proved gaussian and Poisson limit theorems for the number of empty cells from the first $$K$$ cells. These results we apply to study the type I error and the type II error in select analogs of the empty box test.

Topics

Mathematical and Theoretical Epidemiology and Ecology Models Bayesian Methods and Mixture Models Advanced Queuing Theory Analysis

Identifiers

DOI: 10.1134/s1995080221020025

Citations and references

Cited by 09 references

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