TITLE:
A Characterization of the Members of a Subfamily of Power Series Distributions
AUTHORS:
G. Nanjundan
KEYWORDS:
Galton-Watson Process, Probability Generating Function, Binomial, Poisson, Negative Binomial Distributions
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.6,
June
22,
2011
ABSTRACT: This paper discusses a characterization of the members of a subfamily of power series distributions when their probability generating functions satisfy the functional equation where a, b and c are constants and is the derivative of f.