Roohi, Ayesha (2003) NEGATIVE AND FACTORIAL MOMENTS OF DISCRETE DISTRIBUTIONS INVOLVING HYPER-GEOMETRIC SERIES FUNCTIONS. PhD thesis, National College of Buisness Administration & Economics, Lahore.
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 (PhD)|
|Uncontrolled Keywords:||negative moments, negative factorial, hyper-geometric series functions|
|Subjects:||Physical Sciences (f) > Mathematics(f5) > Statistics(f5.2)|
|Deposited By:||Mr. Muhammad Asif|
|Deposited On:||02 Oct 2006|
|Last Modified:||04 Oct 2007 21:00|
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