A zero-inflated occupancy distribution: exact results and Poisson convergence

Nikolai Kolev and Ljuben Mutafchiev

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-12

Abstract:

We introduce the generalized zero-inflated allocation scheme of placing n labeled balls into N labeled cells. We study the asymptotic behavior of the number of empty cells when ( n , N ) belongs to the right and left domain of attraction. An application to the estimation of characteristics of agreement among a set of raters which independently classify subjects into one of two categories is also indicated. The case when a large number of raters acts following the zero-inflated binomial law with small probability for positive diagnosis is treated using the zero-inflated Poisson approximation.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:569272

DOI: 10.1155/S0161171203209017

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