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Asymptotic normality associated with generalized occupancy problems

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  • Mirakhmedov, Sherzod M.

Abstract

We consider a scheme of independent allocation of particles of s types into an infinite number of cells. The object of interest here are the statistics that are the sum of functions of the frequencies of the cells. The asymptotic normality of these statistics is proved under weaker conditions than those known. This result is then applied in the construction of a goodness of fit test of sequential type to verify a hypothesis about discrete distributions.

Suggested Citation

  • Mirakhmedov, Sherzod M., 2007. "Asymptotic normality associated with generalized occupancy problems," Statistics & Probability Letters, Elsevier, vol. 77(15), pages 1549-1558, September.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:15:p:1549-1558
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    Cited by:

    1. Saidbek S. Mirakhmedov & Sherzod M. Mirakhmedov, 2010. "On Asymptotic Expansion in the Random Allocation of Particles by Sets," Journal of Theoretical Probability, Springer, vol. 23(3), pages 904-919, September.

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