Semi-Markov processes for reliability studies

Christiane Cocozza-Thivent; Michel Roussignol

ESAIM: Probability and Statistics (1997)

  • Volume: 1, page 207-223
  • ISSN: 1292-8100

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Cocozza-Thivent, Christiane, and Roussignol, Michel. "Semi-Markov processes for reliability studies." ESAIM: Probability and Statistics 1 (1997): 207-223. <http://eudml.org/doc/104233>.

@article{Cocozza1997,
author = {Cocozza-Thivent, Christiane, Roussignol, Michel},
journal = {ESAIM: Probability and Statistics},
language = {eng},
pages = {207-223},
publisher = {EDP Sciences},
title = {Semi-Markov processes for reliability studies},
url = {http://eudml.org/doc/104233},
volume = {1},
year = {1997},
}

TY - JOUR
AU - Cocozza-Thivent, Christiane
AU - Roussignol, Michel
TI - Semi-Markov processes for reliability studies
JO - ESAIM: Probability and Statistics
PY - 1997
PB - EDP Sciences
VL - 1
SP - 207
EP - 223
LA - eng
UR - http://eudml.org/doc/104233
ER -

References

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  1. ALAM, M. ( 1984) Unavaibility analysis of protective systems subject to sequential testing. Int. J. Systems Sci. 15 1381-1395. Zbl0553.90053MR763768
  2. ASMUSSEN, S. ( 1992) Applied Probability and Queues. John Wiley & Sons. Zbl0624.60098MR889893
  3. CHEONG, C. K. ( 1968) Ergodic and ratio limit theorems for α-recurrent semi-Markov processes. Z. Wahrscheinlichkeitsth. 9 270-286. Zbl0162.49001MR230387
  4. CHEONG, C. K. ( 1970) Quasi-stationary distributions in semi-Markov processes. J. Appl. Prob. 7 388-399. Correction J. Appl. Prob. 7 788. Zbl0214.17003MR268956
  5. CINLAR, E. ( 1975) Introduction to stochastic processes. Prentice Hall. Zbl0341.60019MR380912
  6. CSENKI, A. ( 1995) An integral equation approach to the interval reliability of systems modelled by finite semi-Markov processes. Reliability Engineering and System Safety 47 37-45. 
  7. FLASPOHLER, D. C. and HOLMES, P. T. ( 1972) Additional quasi-stationary distributions for semi-Markov processes. J. Appl. Prob. 9 671-676. Zbl0241.60080MR346932
  8. LlMNIOS, N. ( 1993) A transient solution method for semi-Markov systems. Statistics et Probability letters 17 211-220. Zbl0777.60082MR1229939
  9. PAGES, A. and GONDRAN, M. ( 1980) Fiabilité des systèmes. Eyrolles-Collection de la Direction des Etudes et Recherches d'Electricité de France. Zbl0491.90029MR596408
  10. SENETA, E. ( 1973) Non-negative matrices and Markov chains. Springer-Verlag. Zbl0471.60001MR2209438

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