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Limit Distributions of Random Sums of Z+-Valued Random Variables |
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| Authors: | S. Satheesh E. Sandhya T. Lovely Abraham |
| Affiliation: | 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 |