Communications in Statistics - Theory and Methods, ( ISI ), Volume (46), No (4), Year (2017-4) , Pages (1779-1787)

Title : ( On a new positive dependence concept based on the conditional mean inactivity time order )

Authors: zohreh zamani , Gholam Reza Mohtashami Borzadaran , Mohammad Amini ,
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Abstract

In this paper, we introduce a new positive dependence concept between two nonnegative random variables which is related to a conditional version of the mean inactivity time order. A number of properties and relationship between the new notion and the concept of positive likelihood ratio dependence (PLRD) is disscussed. Some results in terms of proposed notions, for the Archimedean family of copulas is provided.

Keywords

, Mean inactivity time (MIT), Positive likelihood ratio dependence (PLRD), Stochastic order, Totally positive of order 2 (TP2).