A Note on the Mixture Representation of the Conditional Residual Lifetime of a Coherent System

A Note on the Mixture Representation of the Conditional Residual Lifetime of a Coherent System

This paper builds a mixture representation of the reliability function of the conditional residual lifetime of a coherent system in terms of the reliability functions of conditional residual lifetimes of order statistics. Some stochastic ordering properties for the conditional residual lifetime of a...

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Veröffentlicht in:Journal of applied probability 2013-06, Vol.50 (2), p.475-485
Hauptverfasser: Feng, Xiuying, Zhang, Shuhong, Li, Xiaohu
Format: Artikel
Sprache:eng
Schlagworte:
60k10
62E15
Algebra
Arithmetic
Coefficients
Coherence
Coherence coefficient
Coherent system
Conditional probabilities
Construction
Distribution functions
Lifetime
Mathematical analysis
Mathematical functions
order statistics
Probability distribution
Probability theory
Random variables
Reliability functions
Remainders
Representations
residual lifetime
signature
Signatures
Statistics
Stochastic models
stochastic order
Stochasticity
Studies
Vectors (mathematics)
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Beschreibung
Zusammenfassung:This paper builds a mixture representation of the reliability function of the conditional residual lifetime of a coherent system in terms of the reliability functions of conditional residual lifetimes of order statistics. Some stochastic ordering properties for the conditional residual lifetime of a coherent system with independent and identically distributed components are obtained, based on the stochastically ordered coefficient vectors.
ISSN:0021-9002
1475-6072
DOI:10.1239/jap/1371648955