Estimation of probabilities in the class of modified power series distributions |
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Authors: | Ramesh C Gupta Jagbib Sihgh |
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Institution: | 1. University of Maine at Orono , Orono, U.S.A;2. Temple University Philadelphia , Pennsylvania, U.S.A |
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Abstract: | In this paper we consider the class of modified power series distribution introduced by GUPTA (1974) and derive a minimum variance unbiased estimator (MVUE) of the probability function for this class. these results are then applied to obtain MVUE of the probability function for the generalized negative binomial distributions, the generalized poisson distribution, the generalized logarithmic series distribution and the lost game distribution. A large number of results in the literature follow trivially from out results as special cases. |
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Keywords: | Collage marked point process pair correlation function mark correlation Monte Carlo test |
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