Ch. 30. Stochastic process models for reliability in dynamic environments

Handbook of Statistics

Volumn 22, Issue , 2003, Pages 1109-1129

  Singpurwalla, Nozer D ^a   Mazzuchi, Thomas A ^a   Özekici, Süleyman ^a   Soyer, Refik ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 42649104529     PISSN: 01697161     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0169-7161(03)22032-0     Document Type: Review

References (14)

1. Çinlar E. Markov additive processes, II. Z. Wahrsch. Verw. Gebiete 24 (1972) 94-121
2. Çinlar E. Introduction to Stochastic Processes (1975), Prentice-Hall, Inc., New York
3. Çinlar E. Shock and wear models and Markov additive processes. In: Tsokos C.P., and Shimi I.N. (Eds). The Theory and Applications of Reliability (1977), Academic Press, Inc., Englewood Cliffs, NJ
4. Çinlar E. Markov and semi-Markov models of deterioration. In: Abdel-Hameed M.S., Çinlar E., and Quinn J. (Eds). Reliability Theory and Models (1984), Academic Press, Inc., New York
5. Çinlar E., and Özekici S. Reliability of complex devices in random environments. Probab. Engrg. Inform. Sci. 1 (1987) 97-115
6. Fischer W., and Meier-Hellstern K. The Markov modulated Poisson process cookbook. Performance Evaluation 18 (1992) 149-171
7. Kingman J.F.C. On doubly stochastic Poisson processes. Proc. Cambridge Philos. Soc. 60 (1964) 923-960
8. Lindley D.V., and Singpurwalla N.D. Multivariate distributions for the lifelengths of components of a system sharing a common environment. J. Appl. Probab. 23 (1986) 418-431
9. Özekici S. Complex systems in random environments. In: Özekici S. (Ed). Reliability and Maintenance of Complex Systems (1996), Springer-Verlag, Orlando
10. Özekici S. Markov modulated Bernoulli process. Math. Methods Oper. Res. 45 (1997) 311-324
11. Under review. Özekici S., and Soyer R. Semi-Markov modulated Poisson process: probabilistic and statistical analysis (2002)
12. Rydén T. Parameter estimation for Markov modulated Poisson processes. Stochastic Models 10 4 (1994) 795-829
13. Singpurwalla N.D. Survival in dynamic environments. Statist. Sci. 10 1 (1995) 86-103
14. Singpurwalla N.D., and Youngren M. Multivariate distributions induced by dynamic environments. Scandinavian J. Statist. 20 (1993) 251-261