Stochastic comparisons of series and parallel systems with generalized linear failure rate components. (10th February 2017)

• Record Type: Journal Article
• Authors: Fang, Longxiang; Balakrishnan, N.
• Is Part Of: Applied stochastic models in business and industry. Volume 33:Number 2(2017)
• Page Start: 248
• Page End: 255
• Publication Date: 2017-02-10
• Subjects: order statistic -- lifetime -- usual stochastic order -- multivariate chain majorization -- T‐transform matrix 2000 MSC: 60E15 -- 62G30 -- 62D05 -- 62N05; Stochastic analysis -- Periodicals; Stochastic processes -- Periodicals; Business mathematics -- Periodicals; Finance -- Mathematical models -- Periodicals; Industrial management -- Mathematical models -- Periodicals; 338.00151923
• DOI: 10.1002/asmb.2239
• Languages: English
• ISSNs: 1524-1904

Abstract

Abstract : In this paper, we discuss stochastic comparisons of series and parallel systems comprising independent and heterogeneous generalized linear failure rate components. When a system with possibly different shape and scale parameters has its matrix of parameters changing to another matrix of parameters in a certain mathematical sense, we examine the usual stochastic order of the smallest and largest order statistics under such a setup. Copyright © 2017 John Wiley & Sons, Ltd.