A GENERALIZATION OF THE CLASSICAL DISCRETE DISTRIBUTIONS

ABSTRACT

Some results related to the family of Inflated-parameter generalized power series distributions (IGPSD) are presented. The probability mass functions, useful properties, and recursion formulas are given. A characterization of the Inflated-parameter geometric distribution in terms of the ρ-type lack of memory property is given. The distributions are discussed as counting distributions in risk theory.

Keywords:

• Discrete distributions
• Inflated-parameter distributions
• ρ-Type lack of memory property
• Compound distribution

ACKNOWLEDGMENT

This work is supported by FAPESP grant 98/05810-9.