论文信息 - Estimation of Parameters on Some Extensions of the Katz Family of Discrete Distributions Involving Hypergeometric Functions

Estimation of Parameters on Some Extensions of the Katz Family of Discrete Distributions Involving Hypergeometric Functions

A two-parameter family of discrete distributions developed by Katz (1963) is extended to three- and four-parameter families whose probability generating functions involve hypergeometric functions. This extension contains other distributions appearing in the literature as particular cases. Various methods of estimating the parameters are investigated and their asymptotic efficiency relative to maximum likelihood estimators compared.

Ram C. Tripathi | J. Gurland | R. Tripathi | John Gurland

[1] J. K. Ord,et al. On a system of discreate distributions , 1967 .

[2] H. Simon,et al. ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS , 1955 .

[3] J. Gurland,et al. A Test of Fit for the Negative Binomial and Other Contagious Distributions , 1970 .

[4] Student,et al. ON THE ERROR OF COUNTING WITH A HAEMACYTOMETER , 1907 .

[5] Jerzy Neyman,et al. On a New Class of "Contagious" Distributions, Applicable in Entomology and Bacteriology , 1939 .

[6] I. Good. THE POPULATION FREQUENCIES OF SPECIES AND THE ESTIMATION OF POPULATION PARAMETERS , 1953 .

[7] T. A. Brindley,et al. The Distribution of European Corn Borer Larvae Pyrausta nubilalis (Hbn.), in Field Corn , 1957 .