Survey of Soviet Work in Reliability

Abstract : We review the research of Soviet school in reliability theory for the last twenty years. The main subjects under review are complex systems and their reliability, families with monotone failure rate, optimal maintenance and control, and statistical problems of reliability theory (121 defs.). Keywords: Coherent systems, Families with increasing failure rate, Optimal control, Standby items, Confidence intervals, and Exponential distribution.

[1]  I. Pavlov,et al.  Unbiased Estimation of a Distribution Function from a Multiply Truncated Sample , 1985 .

[2]  I. Gertsbakh Asymptotic methods in reliability theory: a review , 1984, Advances in Applied Probability.

[3]  R. Gill Large Sample Behaviour of the Product-Limit Estimator on the Whole Line , 1983 .

[4]  I. Pavlov Confidence Bounds for Convex Functions of Many Unknown Parameters , 1981 .

[5]  R. Gill Censoring and stochastic integrals , 1980 .

[6]  O. Aalen Nonparametric Inference for a Family of Counting Processes , 1978 .

[7]  Ilya B. Gertsbakh,et al.  Models of Preventive Maintenance , 1977 .

[8]  Richard E. Barlow,et al.  Statistical Theory of Reliability and Life Testing: Probability Models , 1976 .

[9]  N. P. Buslenko Complex systems and simulation models , 1976 .

[10]  N. Breslow,et al.  A Large Sample Study of the Life Table and Product Limit Estimates Under Random Censorship , 1974 .

[11]  A. Soloviev Asymptotic distribution of the moment of first crossing of a high level by a birth and death process , 1972 .

[12]  S. Osaki,et al.  A two-unit standby redundant system with repair and preventive maintenance , 1970 .

[13]  Kh. B. Kordonskii,et al.  Estimate of Maximum Likelihood for Simplest Grouping of Data , 1970 .

[14]  I. B. Gertsbakh,et al.  Models of Failure , 1969 .

[15]  Boris Vladimirovič Gnedenko,et al.  Mathematical methods in the reliability theory , 1969 .

[16]  A. D. Soloviev Theory of aging elements , 1967 .

[17]  B. Efron The two sample problem with censored data , 1967 .

[18]  Z. Birnbaum,et al.  Multi-Component Systems and Structures and Their Reliability , 1961 .

[19]  E. Kaplan,et al.  Nonparametric Estimation from Incomplete Observations , 1958 .

[20]  R. Fisher,et al.  Limiting forms of the frequency distribution of the largest or smallest member of a sample , 1928, Mathematical Proceedings of the Cambridge Philosophical Society.

[21]  M. Fréchet Sur la loi de probabilité de l'écart maximum , 1928 .