On generalized four-parameter Charlier distribution (Q1081186)

This paper defines the generalized four-parameter Charlier (FPC) distribution whose p.g.f. is given by \[ g(s)=e^{\alpha s}(1-\lambda s- \beta s^ m)^{-\lambda},\quad \alpha,\beta,\lambda \geq 0,\quad m=1,2,...,\quad -1<s<1. \] Then, moments, cumulants and their recurrence relations are obtained and the distribution is fitted to two sets of data.