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On some distributions arising in inverse cluster sampling
Authors:Evdokia Xekalaki  J Panaretos
Institution:1. Athens School of Economics and Business Studies , Greece;2. University of Patras , Greece
Abstract:In this paper, distributions of items sampled inversely in clusters are derived. In particular, negative binomial type of distributions are obtained and their properties are studied. A logarithmic series type of distribution is also defined as a limiting form of the obtained generalized negative binomial distribution.
Keywords:Cluster negative binomial distribution  generalized poisson distribution  stuttering generalized waring distribution  cluster logarithmic series distribution
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