Estimation of Reliability Parameters Under Incomplete Primary Information

被引:0
作者
A. N. Golodnikov
P. S. Knopov
V. A. Pepelyaev
机构
[1] Ukrainian Academy of Sciences,Candidate of physico
[2] Ukrainian Academy of Sciences,mathematical sciences and lead researcher at the V.M. Glushkov Institute of Cybernetics
[3] Ukrainian Academy of Sciences,Doctor of physico
来源
Theory and Decision | 2004年 / 57卷
关键词
Reliability parameters; Bayesian procedures; Incomplete information;
D O I
暂无
中图分类号
学科分类号
摘要
We consider the procedure for small-sample estimation of reliability parameters. The main shortcomings of the classical methods and the Bayesian approach are analyzed. Models that find robust Bayesian estimates are proposed. The sensitivity of the Bayesian estimates to the choice of the prior distribution functions is investigated using models that find upper and lower bounds. The proposed models reduce to optimization problems in the space of distribution functions.
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页码:331 / 344
页数:13
相关论文
共 16 条
  • [1] Berger J.O.(1994)An overview of robust Bayesian analysis (with comments) Test 3 5-124
  • [2] Carota C.(1994)Robust Bayesian analysis given priors on partition sets Test 3 73-86
  • [3] Ruggeri F.(1970)On the usefulness of the maximum entropy principle in the Bayesian estimation of reliability IEEE Transactions on Reliability R-19 110-115
  • [4] Deeley J.J.(1978)Numerical method for estimation of some functionals characterizing reliability Kibernetika 2 73-77
  • [5] Tierney M.S.(1968)Prior probabilities IEEE Transactions on Systems Science and Cybernetics SSC-4 227-241
  • [6] Zimmer W.J.(1982)Some properties of distributions useful in the study of rare events IEEE Transactions on Reliability R-31 87-94
  • [7] Golodnikov A.N.(2000)On a global sensitivity measure for Bayesian inference Sankhya: The Indian Journal of Statistics 62 110-127
  • [8] Stoikova L.S.(1994)Bayes reliability estimation using multiple sources of prior information: binomial sampling IEEE Transactions on Reliability 43 138-144
  • [9] Jaynes E.T.(1965)The use of incomplete beta functions for prior distributions in binomial sampling Technometrics 7 335-347
  • [10] Mosleh A.(undefined)undefined undefined undefined undefined-undefined