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Markov and semi-Markov processes as a failure rate

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.4952248· OSTI ID:22609013
 [1]
  1. Department of Mathematics and Physics, Naval University, Gdynia (Poland)

In this paper the reliability function is defined by the stochastic failure rate process with a non negative and right continuous trajectories. Equations for the conditional reliability functions of an object, under assumption that the failure rate is a semi-Markov process with an at most countable state space are derived. A proper theorem is presented. The linear systems of equations for the appropriate Laplace transforms allow to find the reliability functions for the alternating, the Poisson and the Furry-Yule failure rate processes.

OSTI ID:
22609013
Journal Information:
AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1738; ISSN APCPCS; ISSN 0094-243X
Country of Publication:
United States
Language:
English

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