Document Type: Research Note
Department of Statistics, Shiraz University, Shiraz, I. R. of Iran
The mean and variance of the Lagrangian Katz family of distribution (LKD), the basic
Lagrangian 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 recurrence
relation between moments and cumulants of LKD, LKD-I and LKD-II are given. The first four
cumulants of LKD-I and LKD-II are provided.