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