A Zero-inflated Occupancy Distribution: Exact Results and Poisson Convergence

نویسندگان

  • NIKOLAI KOLEV
  • LJUBEN MUTAFCHIEV
چکیده

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.

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تاریخ انتشار 2002