ON THE MOMENTS OF LKD

Abstract

The mean and variance of the Lagrangian Katz family of distribution (LKD), the basicLagrangian Katz distribution of Type I (LKD-I) and Type II (LKD-II) are provided in an easy method.The recurrence relation between the non-central, central and factorial moments, and the recurrencerelation between moments and cumulants of LKD, LKD-I and LKD-II are given. The first fourcumulants of LKD-I and LKD-II are provided.