On Some Distributional Properties of the Family of Weighted Generalized Poisson Distribution

Ambagaspitiya (1995 Ambagaspitiya , R. S. ( 1995 ). A family of discrete distributions . Insur. Math. Econ. 16 : 107 – 127 .[Crossref] , [Google Scholar]) considered a family of discrete distribution with the property that and obtained w(a; b)-weighted (Rao, 1965 Rao , C. R. ( 1965 ). On some discrete distribution arising out of methods of ascertainment . In: Patil , G. P. , ed. Classical and Contagious Discrete Distributions . Calcutta : Statistical Publishing Society, Oxford: Pergamon Press , pp. 320 – 332 . [Google Scholar]) generalized Poisson distribution (GPD) as a sub class of the family. In this article various distributional properties of this sub class are studied when w(a; b) = a s+1.