Affiliation:
1. Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Iran
Abstract
In this paper, we introduce a quantile version of past entropy for order
statistics and study some of its properties. It is shown that this measure
uniquely determine the quantile function. Two nonparametric classes of
distributions are also defined based on the proposed measure. The closure of
these classes under increasing convex (concave) transformations and weighted
variables are discussed. Moreover, a new stochastic order based on this
measure is defined and some features of it are investigated. We give
desirable conditions for a function of a random variable to have more
quantile past entropy for order statistics than original random variable.
Publisher
National Library of Serbia
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