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