Ordering New Conditional Residual Lifetimes of k-out-of-n Systems

This article introduces a new residual life of (n − k + 1)-out-of-n systems consisting of n independent and identically distributed components, given that the total number of failures of components is not less than l at time t, and the system is still working. Some stochastic comparisons of residual...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2011-01, Vol.40 (9), p.1591-1600
Main Author: Zhang, Zhengcheng
Format: Article
Language:English
Subjects:
Distribution theory
DLR
Exact sciences and technology
Failure
General topics
Hazard rate order
ILR
Likelihood ratio order
Mathematics
Nonparametric inference
Order disorder
Order statistics
Primary 62E10
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
Secondary 60E05
Statistics
Stochastic order
Stochasticity
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Summary:This article introduces a new residual life of (n − k + 1)-out-of-n systems consisting of n independent and identically distributed components, given that the total number of failures of components is not less than l at time t, and the system is still working. Some stochastic comparisons of residual lifetimes are conducted, and behaviors of DLR and ILR are given.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610921003624882