Estimation of Parameters in Gaussian Hypergeometric Distributions

Abstract Some methods for estimating parameters in distributions generated by the Gaussian hypergeometric function are developed in this article: specifically, methods based on relations between moments and/or frequencies, estimators obtained by the minimum chi-square procedure and the method of maximum likelihood are considered. The asymptotic relative efficiencies of estimators with explicit formulae are compared. Finally, two real examples are given in order to illustrate these methods.

[1]  José Rodríguez-Avi,et al.  A triparametric discrete distribution with complex parameters , 2004 .

[2]  J. Gurland,et al.  The Poisson Pascal distribution , 1961 .

[3]  José Rodríguez-Avi,et al.  A new class of discrete distributions with complex parameters , 2003 .

[4]  J. Gurland,et al.  Simplified techniques for estimating parameters of some generalized Poisson distributions. , 1967, Biometrika.

[5]  Ram C. Tripathi,et al.  A generalization of the log-series distribution , 1985 .

[6]  Ram C. Tripathi,et al.  Estimation of parameters in the beta binomial model , 1994 .

[7]  Ram C. Tripathi,et al.  A General Family of Discrete Distributions with Hypergeometric Probabilities , 1977 .

[8]  A. W. Kepm Weighted discrepancies and maximum likelihood estimation for discrete distributions , 1986 .

[9]  Ram C. Tripathi,et al.  Estimation of Parameters on Some Extensions of the Katz Family of Discrete Distributions Involving Hypergeometric Functions , 1975 .

[10]  A. W. Kemp,et al.  Models for Gaussian Hypergeometric Distributions , 1975 .

[11]  A. W. Kemp,et al.  Univariate Discrete Distributions , 1993 .

[12]  G. Beall,et al.  A Generalization of Neyman's Contagious Distributions , 1953 .

[13]  Some Methods of Estimation for the Poisson Binomial Distribution , 1962 .

[14]  J. Gurland,et al.  A unified approach to estimating parameters in some generalized poission distributions , 1986 .

[15]  J. Gurland,et al.  Efficiency of certain methods of estimation for the negative binomial and the Neyman type A distributions , 1962 .