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Limit Distributions of Random Sums of Z+-Valued Random Variables
Authors:S Satheesh  E Sandhya  T Lovely Abraham
Institution:1. NEELOLPALAM , Trichur, India ssatheesh1963@yahoo.co.in;3. Department of Statistics , Prajyoti Niketan College , Trichur, India;4. Erumalayil , Palakkad, India
Abstract:In this article, we formulate a transfer theorem in terms of probability generating functions and discuss two approaches to limit distributions of random sums of Z +-valued random variables. We then develop Z +-valued N-ID and ?-ID laws.
Keywords:Geometric distribution  Geometric infinite divisibility  Harris distribution  Infinite divisibility  Laplace transform  Limit distributions  Probability generating function  Random infinite divisibility  Random-sum  Transfer theorem
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