摘要: A class of models for system reliability is presented which (a) introduces the notion random variability environment, and hence instantaneous failure rate or “hazard,” (b) leads to exponentially distributed time failure, component when components are exposed environment in isolation, but (c) does not lead a prediction series based on usual procedure adding rates. If followed, it shown that underestimates obtained. simple spares provisioning problem investigated such model assumed hold.
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sci-hub.se 参考文章(10)
BENJAMIN EPSTEIN, THE EXPONENTIAL DISTRIBUTION AND ITS ROLE IN LIFE TESTING Defense Technical Information Center. ,(1958) , 10.21236/AD0158605
William Feller, On a General Class of "Contagious" Distributions Annals of Mathematical Statistics. ,vol. 14, pp. 643- 654 ,(1943) , 10.1007/978-3-319-16859-3_31
Marvin Zelen, Factorial Experiments in Life Testing Technometrics. ,vol. 1, pp. 269- 288 ,(1959) , 10.1080/00401706.1959.10489862
Donald F. Morrison, H. A. David, The Life Distribution and Reliability of a System with Spare Components Annals of Mathematical Statistics. ,vol. 31, pp. 1084- 1094 ,(1960) , 10.1214/AOMS/1177705680
R. A. Fisher, A. Steven Corbet, C. B. Williams, The Relation Between the Number of Species and the Number of Individuals in a Random Sample of an Animal Population Journal of Animal Ecology. ,vol. 12, pp. 42- ,(1943) , 10.2307/1411
R. F. Drenick, THE FAILURE LAW OF COMPLEX EQUIPMENT Journal of The Society for Industrial and Applied Mathematics. ,vol. 8, pp. 680- 690 ,(1960) , 10.1137/0108051
F. J. ANSCOMBE, Sampling theory of the negative binomial and logarithmic series distributions. Biometrika. ,vol. 37, pp. 358- 382 ,(1950) , 10.1093/BIOMET/37.3-4.358
Michel Loève, Probability theory ,(1963)
Joseph L. Doob, Stochastic processes ,(1953)
Walter L. Smith, Renewal Theory and its Ramifications Journal of the royal statistical society series b-methodological. ,vol. 20, pp. 243- 284 ,(1958) , 10.1111/J.2517-6161.1958.TB00294.X