NEGATIVE AND FACTORIAL MOMENTS OF DISCRETE DISTRIBUTIONS INVOLVING HYPER-GEOMETRIC SERIES FUNCTIONS

Ayesha, Roohi (2003) NEGATIVE AND FACTORIAL MOMENTS OF DISCRETE DISTRIBUTIONS INVOLVING HYPER-GEOMETRIC SERIES FUNCTIONS. Doctoral thesis, National College of Business Administration & Economics.

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Abstract

Early authors gave approximate results for negative moments of certain discrete distributions truncated at zero. Chao and Strawderman (1972) gave a technique of obtaining negative moments of the form E [(X+A)-k], Lepage (1978) and Jones (1987) discussed negative factorial moments. In this dissertation, negative moments and negative factorial moments of generalized hyper-geometric series distributions have been investigated, with special reference to the binomial, hyper-Poisson, Poisson, negative binomial, geometric and logarithmic series distributions. These moments have been expressed in terms of hyper-geometric series functions. Recurrence relations for the negative moments and negative factorial moments of some discrete distributions have been derived using properties of hyper-geometric series functions. Further characterizations of some discrete distributions have been discussed using properties of negative moments. New properties regarding sums and integrals of hyper-geometric functions have also been derived, using properties of probability distributions. Certain limiting cases of hyper- geometric functions have also been discussed.

Item Type: Thesis (Doctoral)
Uncontrolled Keywords: negative moments, negative factorial, hyper-geometric series functions
Subjects: H Social Sciences > HA Statistics
Depositing User: Muhammad Khan Khan
Date Deposited: 29 Nov 2016 09:01
Last Modified: 29 Nov 2016 09:01
URI: http://eprints.hec.gov.pk/id/eprint/3563

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