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ORDERING CONSECUTIVE k-OUT-OF-n:F SYSTEMS

Published online by Cambridge University Press:  27 April 2012

Gaofeng Da ,
Ben Zheng  and
Taizhong Hu
Gaofeng Da
Affiliation:
Department of Statistics and Finance, School of Management, University of Science and Technology of China, Hefei, Anhui 230026People's Republic of China E-mail: dagf@ustc.edu.cn; zhengben@mail.ustc.edu.cn; thu@ustc.edu.cn
Ben Zheng
Affiliation:
Department of Statistics and Finance, School of Management, University of Science and Technology of China, Hefei, Anhui 230026People's Republic of China E-mail: dagf@ustc.edu.cn; zhengben@mail.ustc.edu.cn; thu@ustc.edu.cn
Taizhong Hu
Affiliation:
Department of Statistics and Finance, School of Management, University of Science and Technology of China, Hefei, Anhui 230026People's Republic of China E-mail: dagf@ustc.edu.cn; zhengben@mail.ustc.edu.cn; thu@ustc.edu.cn
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Abstract

Stochastic comparisons of linear (circular) consecutive k-out-of-n:F systems with independent components are studied. A sufficient condition is given under which the lifetime of a circular consecutive k-out-of-n:F system with independent and nonidentically distributed components is stochastically decreasing in n for fixed k. Furthermore, the likelihood ratio orderings of the lifetimes of linear (circular) consecutive k-out-of-n:F systems with independent and identically distributed components are also established, and some counterexamples are given to show that these orderings are not true in general.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 26 , Issue 2 , April 2012 , pp. 147 - 158
Copyright
Copyright © Cambridge University Press 2012

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