TY - JOUR
T1 - On the Monotone Behavior of Time Dependent Entropy of Order alpha
TT -
JF - JIRSS
JO - JIRSS
VL - 9
IS - 1
UR - http://jirss.irstat.ir/article-1-82-en.html
Y1 - 2010
SP - 65
EP - 83
KW - Differential entropy
KW - equilibrium distribution
KW - information theory
KW - hazard rate
KW - mean residual lifetime function
KW - (n − k + 1)-out-of-n systems
KW - Shannon entropy
N2 - 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.
M3
ER -