Abstract

In this article we consider Mathai–Haubold entropy and study some of its important properties based on record values. We derive some bounds and characterization results associated with the Mathai–Haubold entropy of record values. We further consider the Mathai–Haubold divergence measure and establish some its distribution free properties. We extend the concept of Mathai–Haubold entropy to the concomitants of record values arising from a Farlie–Gumbel–Morgenstern (FGM) family of bivariate distributions. Also we derive the expression and describe some properties of residual Mathai–Haubold entropy.

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