We consolidate the zero-inflated Poisson model for count data with excess zeros (Lambert, 1992) and the two-component model approach for serial correlation among repeated observations (Dobbie and Welsh, 2001) for spatial count data. This concurrently addresses the problem of overdispersion and distinguishes zeros that arise due to random sampling from those that arise due to inherent characteri...

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 als...

Count data with excessive zeros are ubiquitous in healthcare, medical, and scientific studies. There numerous articles that show how to fit Poisson other models which account for the zeros. However, many situations, besides zero, frequency of another count k tends be higher data. The zero- k-inflated distribution model (ZkIP) is appropriate such situations ZkIP essentially a mixture degenerate ...