Incomplete moments of modified power series districutions with applications |
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| Authors: | Ram C Tripathi Pushpa L Gupta Ramesh C Gupta |
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| Affiliation: | 1. University of Texas at San Antonio , San Antonio, Texas, 78285;2. University of Maine at Orono , Orono, Maine, 04469 |
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| Abstract: | The recurrence relations between the incomplete moments and the factorial incomplete moments of the modified power series distributions (MPSD) are derived. These relations are employed to obtain the experessions for the incomplete moments and the incomplete factorial moments of some particular members of the MPSD class such as the generalized negative binomial, the generalized Poisson, the generalized logrithmic series, the lost game distribution and the distribution of the number of customers served in a busy period. An application of the incomplete moments of the generalized Poisson distribution is provided in the economic selection of a manufactured product. A numerical example is provided using the Poisson distribution and the Generalized Poisson distribution. The example illustrates the difference in results using the two models |
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| Keywords: | Generalized negative binomial distribution generalized Poisson distribution generalized logrithmic series distribution lost game distribution economic selction. |
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