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FURTHER RESULTS ON QUANTILE ENTROPY IN THE PAST LIFETIME

Part of: Distribution theory - Probability

Published online by Cambridge University Press:  27 February 2018

Guoxin Qiu
Guoxin Qiu*
Affiliation:
Department of Business Administration, School of Business, Xinhua University of Anhui, Hefei, 230088, China and Department of Statistics and Finance, School of Management, University of Science and Technology of China, Hefei, 230026, China E-mail: qiugx02@ustc.edu.cn
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Abstract

Bounds of the quantile entropy in the past lifetime of some ageing classes are explored firstly. The quantile entropy in the past lifetime of a random variable is shown to be increasing if its expected inactivity time is increasing. Some closure properties of the less quantile entropy in the past lifetime order are obtained under the model of generalized order statistics. Moreover, sufficient conditions are given for a function of a random variable and for a weighted random variable to have more quantile entropy in the past lifetime than original random variable.

Keywords

generalized order statisticsLPQE orderquantile entropy in the past lifetimereversed hazard rateweighted distribution

MSC classification

Primary: 60E15: Inequalities; stochastic orderings
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 33 , Issue 1 , January 2019 , pp. 146 - 159
Copyright
Copyright © Cambridge University Press 2018 

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