Title of article :
On the Monotone Behavior of Time Dependent Entropy of Order α
Author/Authors :
Mahmoudi, Mahdi semnan university - Faculty of Mathematics, سمنان, ايران , Majid, Asadi university of isfahan - Department of Statistics, اصفهان, ايران
Abstract :
In this paper we study some monotone behavior of the residual (past) entropy of order alpha 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 alpha 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 a of (n - k+1)out- of-n systems and record values are derived. Some results on the residual (past) entropy of order alpha of equilibrium distributions are also obtained.
Keywords :
Differential entropy , equilibrium distribution , information theory , hazard rate , mean residual lifetime function , (n , k + l) , out , of , n systems , Shannon entropy.
Journal title :
Journal of the Iranian Statistical Society (JIRSS)
Journal title :
Journal of the Iranian Statistical Society (JIRSS)
