%0 Journal Article
%A Mahmoudi, Mahdi
%A Asadi, Majid
%T On the Monotone Behavior of Time Dependent Entropy of Order alpha
%J Journal of the Iranian Statistical Society
%V 9
%N 1
%U http://jirss.irstat.ir/article-1-82-en.html
%R
%D 2010
%K Differential entropy, equilibrium distribution, information theory, hazard rate, mean residual lifetime function, (n − k + 1)-out-of-n systems, Shannon entropy,
%X 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.
%> http://jirss.irstat.ir/article-1-82-en.pdf
%P 65-83
%& 65
%!
%9
%L A-10-1-16
%+
%G eng
%@ 1726-4057
%[ 2010