Authors

• Mahdi Mahmoudi
• Majid Asadi

Abstract

In this paper we study some monotone behavior of the residual (past) entropy of order . We prove that, under some relation between the hazard rates (reversed hazard rates) of two distributions functions F and G, when the residual (past) entropy of order  of F is decreasing (increasing) then the residual (past) entropy of G is decreasing (increasing). Using this, several conclusions regarding monotone behavior of residual (past) entropy of order  of (n−k+1)-out-of-n systems and record values are derived. Some results on the residual (past) entropy of order  of equilibrium distributions are also obtained.

Keywords

• Differential entropy
• equilibrium distribution
• Information Theory
• hazard rate
• mean residual lifetime function
• (n − k + 1)-out-of-n systems
• Shannon Entropy