CHARACTERIZATIONS OF GAMMA DISTRIBUTION VIA SUB-INDEPENDENT RANDOM VARIABLES

Abstract

The concept of sub-independence is based on the conIt is much volution of the distributions of the random variables. weaker than that of independence, but is shown to be sufficient to yield the conclusions of important theorems and results in probability and statistics. It also provides a measure of dissociation between two random variables which is much stronger than uncorrelatedness. Inspired by the excellent work of Jin and Lee (2014), we present certain characterizations of gamma distribution based on the concept of sub-independence.

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