A unified approach to estimating parameters in some generalized poission distributions |
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Authors: | Ram C Tripathi John Gurland |
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Institution: | 1. University of Texas , San Antonio, Texas, 78285;2. University of Wisconsin , Madison, 53706, Wisconsin |
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Abstract: | A family of distributions labelled as Poisson v Katz is formulated, which includes, as particular or limiting cases, the Negative Binomial, Neyman Type A, Poisson v Pascal, and Poisson v Binomial. Thus, while analyzing data, estimating the parameters in the Poisson v Katz family obviates the necessity of having to choose from among the particular or limiting cases. In this article minimum chi-square estimators are presented and their asymptotic relative efficiency obtained. An example is presented to illustrate the procedure |
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Keywords: | Generalized Voisson estimation minimum chi-square asymptotic relative efficiency test of fit |
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