A Characterization of the Members of a Subfamily of Power Series Distributions - Applied Mathematics

AM > Vol.2 No.6, June 2011

A Characterization of the Members of a Subfamily of Power Series Distributions ()

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DOI: 10.4236/am.2011.26099 7,621 Downloads 11,361 Views Citations

Author(s)

G. Nanjundan

Affiliation(s)

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.

KEYWORDS

Galton-Watson Process, Probability Generating Function, Binomial, Poisson, Negative Binomial Distributions

Share and Cite:

G. Nanjundan, "A Characterization of the Members of a Subfamily of Power Series Distributions," Applied Mathematics, Vol. 2 No. 6, 2011, pp. 750-751. doi: 10.4236/am.2011.26099.

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