Recursive Relation for Zero In ated Poisson Mixture Distributions

Abstract

The paper extends the work of Sarguta who derived recursive re- lations for univariate distributions by considering the ZIP continuous mixtures. The paper gives a recursive formular which can be used to evaluate the mixed distributions which can be used when the probabil- ity distribution functions cannot be evaluated explicitly. Integration by parts is often employed when deriving the recursive formulas. From sec- tion two up to section seven, we derived the recursive formulas for ZIP mixture distributions using Rectangular, Exponential, Gamma with two parameters, Poisson- Beta and Inverted - Beta as mixing distributions.