Some properties of Kemp family of distributions
DOI:
https://doi.org/10.6092/issn.1973-2201/3572Abstract
This paper studies some important properties of the generalized hypergeometric probability distribution (GHPD) of Kemp (Sankhya-Series A, 1968) by establishing the existence of all the moments of the distribution and by deriving a formula for raw moments. Here we also obtain certain recurrence relations for probabilities, raw moments and factorial moments of the GHPD.References
M. F. DACEY (1972), A family of discrete probability distributions defined by the generalized hypergeometric series, “Sankhya”, Series B, 34, pp. 243-250.
N. L. JOHNSON, A. W. KEMP, S. KOTZ (2005), Univariate discrete distributions, John Wiley and Sons, New York.
A. W. KEMP (1968), A wide class of discrete distributions and the associated differential equations, “Sankhya”, Series A, 30, pp. 401-410.
C. S. KUMAR (2002), Extended generalized hypergeometric probability distributions, “Statistics and Probability Letters”, 59, pp. 1-7.
C. S. KUMAR (2009), A new class of discrete distributions, “Brazilian Journal of Probability and Statistics”, 23, pp. 49-56.
A. M. MATHAI, R. K. SAXENA (1973), Generalized hypergeometric functions with applications in statistics and physical sciences, Lecture Notes No. 348, Springer, Heidelberg.
T. S. K. MOOTHATHU, C. S. KUMAR (1997), On bivariate generalized hypergeometric probability distributions, “Journal of the Indian Statistical Association”, 35, pp. 51-59.
L. J. SLATER (1966), Generalized hypergeometric functions, Cambridge University Press, Cambridge.
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