Nonhomogeneous geometric distributions with relations to birth and death processes
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In this paper we introduce and study nonhomogeneous geometric random variables and their representations. We relate these to standard probability mass functions and to representations using birth-and-death processes. This facilitates comparison of various queueing models by birth/death models. We examine different queueing models with the same limiting distribution.
KeywordsNonhomogeneous Geometric distribution Queueing Birth-and-death processes
Mathematics Subject Classification (2000)60E05 60K25 90B22
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