Moments and Entropy of the Interpolating Family of Size Distributions

Abstract

Sinner et al. (2016) recently introduced a five-parameter family of size distributions, coined Interpolating Family or IF distribution for short. In this complementary note, we take advantage of the tractability of the IF distribution to compute the moments and the differential entropy. As a consequence, we deduce at a single stroke the corresponding expressions for many well-known size distributions arising as special cases of the IF distribution.