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.
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