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Technometrics Volume 17, 1975 - Issue 1
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Original Articles

Bayes Confidence Limits for Reliability of Redundant Systems

William E. Thompson General Research Corporation, Washington, Operations 7655 Old Springhouse Road, McLean, Va, 22101
&
Eugene Y. Chang General Research Corporation, Washington, Operations 7655 Old Springhouse Road, McLean, Va, 22101
Pages 89-93 | Published online: 09 Apr 2012

References

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  • Epstein , B. and Sobel , M. 1953 . “Life Testing” . American Statist. Assn. , 48 : 486 – 502 .
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  • Hora , R. B. and Buehler , R. J. 1966 . “Fiducial Theory and Invariant Estimation” . Ann. Math. Statist. , 37 : 646
  • Keeping , E. S. 1962 . Introductions to Statistical Inference 144 New York : Van Nostrand. .
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  • Lindley , D. V. 1965 . Introduction to Probability and Statistics from a Bayesian Viewpoint London : Cambridge University Press. . Part 1 Probability, Part 2 Inference
  • Lindley , D. V. 1961 . “The Robustness of Interval Estimates” . Bull. Int. Statist. Inst. , 38 : 209 – 220 .
  • Mann , N. R. 1970 . “Computer-Aided Selection of Prior Distributions for Generating Monte Carlo Confidence Bounds on System Reliability” . Naval Research Logistics Quarterly , 17 ( No. 1 ) : 41 – 54 .
  • Mann , N. R. and Grubbs . 1972 . “Approximate Optimum Confidence Bounds on Series System Reliability for Exponential Time to Failure Data” . Biometrika , 59 ( 1 ) : 191 – 204 .
  • Raiffa , H. and Schlaifer , R. 1961 . “Applied Statistical Decision Theory” 47 – 58 . Boston , Mass. : Graduate School of Business Administration, Harvard University. .
  • Savage , L. J. 1962 . The Foundations of Statistical Inference New York : Wiley. .
  • Springer , M. D. and Thompson , W. E. 1967 . “Bayesian Confidence Limits for Reliability of Cascade Exponential Subsystems” . IEEE Transactions on Reliability , R–16 ( No. 2 ) September
  • Springer , M. D. and Thompson , W. E. 1968 . “Bayesian Confidence Limits for Reliability of Redundant Systems When Tests are Terminated at First Failure” . Technometrics , 10 ( No. 1 ) February
  • Thatcher , A. R. 1964 . “Relationships Between Bayesian and Confidence Limits for Predictions” . J. Roy. Statist. Sot. (Series B) , : 26
  • Handbook of Mathematical Functions with Formulus . Graphs, and Mathematical Tables, National Bureau of Standards Applied Mathematics Series 55

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