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.
Mahmoudi,M and Asadi,M . (2022). On the Monotone Behavior of Time Dependent Entropy of Order alpha. Journal of the Iranian Statistical Society, 9(1), 65-83.
MLA
Mahmoudi,M , and Asadi,M . "On the Monotone Behavior of Time Dependent Entropy of Order alpha", Journal of the Iranian Statistical Society, 9, 1, 2022, 65-83.
HARVARD
Mahmoudi M, Asadi M. (2022). 'On the Monotone Behavior of Time Dependent Entropy of Order alpha', Journal of the Iranian Statistical Society, 9(1), pp. 65-83.
CHICAGO
M Mahmoudi and M Asadi, "On the Monotone Behavior of Time Dependent Entropy of Order alpha," Journal of the Iranian Statistical Society, 9 1 (2022): 65-83,
VANCOUVER
Mahmoudi M, Asadi M. On the Monotone Behavior of Time Dependent Entropy of Order alpha. JIRSS. 2022;9(1):65-83.
Journal of the Iranian Statistical Society