Monotone and associated Markov chains, with applications to reliability theory-Reference-Cited by-同舟云学术

Monotone and associated Markov chains, with applications to reliability theory

Published:1987-09 Issue:3 Volume:24 Page:679-695
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Lindqvist Bo Henry

Abstract

We study monotone and associated Markov chains on finite partially ordered state spaces. Both discrete and continuous time, and both time-homogeneous and time-inhomogeneous chains are considered. The results are applied to binary and multistate reliability theory.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference26 articles.

1. A model in which component failure rates depend on the working set

2. A Reliability Bound for Systems of Maintained, Interdependent Components

3. Association of Random Variables, with Applications

4. A Stochastic Process Approach to Multivariate Reliability Systems: Notions Based on Conditional Stochastic Order

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