Geodesic
On some Mixture Distributions
Fractional calculus and applied analysis, Tome 7 (2004) no. 3, pp. 261-282.

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The aim of this paper is to establish some mixture distributions that arise in stochastic processes. Some basic functions associated with the probability mass function of the mixture distributions, such as k-th moments, characteristic function and factorial moments are computed. Further we obtain a three-term recurrence relation for each established mixture distribution.
Keywords: Mixture Distributions, Hyper-Poisson Distribution, 62E15, 62F10 
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Nakhi, Y. Ben; Kalla, S.L. On some Mixture Distributions. Fractional calculus and applied analysis, Tome 7 (2004) no. 3, pp. 261-282. http://geodesic.mathdoc.fr/item/FCAA_2004_7_3_a0/