Increasing Mean Inactivity Time Ordering: A Quantile Approach-Reference-Cited by-同舟云学术

Increasing Mean Inactivity Time Ordering: A Quantile Approach

Published:2018 Issue: Volume:2018 Page:1-10
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Kayid M.¹²^ORCID,Izadkhah S.³^ORCID,Alfifi A.¹

Affiliation:

1. Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

2. Department of Mathematics and Computer Science, Faculty of Science, Suez University, Suez 41522, Egypt

3. Department of Statistics, Faculty of Basic Science and Engineering of Bijar, University of Kurdistan, Bijar, Iran

Abstract

We study further the quantile mean inactivity time order. Relations between the proposed stochastic order and the other transform stochastic orders are obtained. Besides, sufficient conditions for the stochastic order are provided. Then, preservation of the order under monotone transformations, series, and parallel systems and mixtures of a general family of semiparametric distributions is studied. Examples are also given to illustrate the results.

Funder

Deanship of Scientific Research, King Faisal University

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2018/8756969.pdf

Reference27 articles.

1. Stochastic Orders

2. Preliminaries

3. Quantile-Based Reliability Analysis

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