Estimation of probabilities in the class of modified power series distributions
Authors:
Ramesh C. Gupta a;
Jagbib Sihgh b
| Affiliations: | a University of Maine at Orono, Orono, U.S.A |
| b Temple University Philadelphia, Pennsylvania, U.S.A |
DOI:
10.1080/02331888208801629
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
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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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