REFERENCES
- Aitchison , J. 1964 . “Bayesian Tolerance Regions,” . Journal of the Royal Statistical Society , 26 : 161 – 175 . Ser. B
- Berger , J. 1983 . “The Robust Bayesian Viewpoint,”. ” . In Robustness in Bayesian Statistics 63 – 139 . Amsterdam : North-Holland. .
- Bowker , A. and Lieberman , G. 1959 . Engineering Statistics Englewood Cliffs , NJ : Prentice-Hall. .
- Box , G. and Tiao , G. 1973 . Bayesian Inferences in Statistical Analysis Reading , MA : Addison-Wesley. .
- Breth , M. 1979 . “Tolerance Limit Nonparametric Bayesian Interval Estimation,” . Biometrika , 66 : 641 – 644 .
- Carnahan , B. , Luther , H. and Wilkes , J. 1969 . Applied Numerical Methods New York : John Wiley. .
- Casella , G. 1985 . “An Introduction to Empirical Bayes Data Analysis,” . The American Statistician , 38 : 83 – 87 .
- Choi , S. 1983 . “Bayes Reliability From Life Test in a Stress-Strength Model,” . Journal of Korean Statistics , 12 : 1 – 9 .
- Colangelo , I. and Heiser , F. 1974 . Analysis of Metallurgical Failures New York : John Wiley. .
- Cornfield , J. 1969 . “The Bayesian Outlook and Applications,” . Biometrics , 25 : 617 – 655 .
- Cramér , H. 1946 . Mathematical Statistics Princeton , NJ : Princeton University Press. .
- Darling , D. 1953 . “The Kolmogorov–Smirnov Cramér–von Mises Tests,” . The Annals of Mathematical Statistics , 25 : 499 – 513 .
- Deely , J. and Lindley , D. 1981 . “Bayes Empirical Bayes,” . Journal of the American Statistical Association , 76 : 833 – 845 .
- Dixon , W. and Massey , F. 1969 . Introduction to Statistical Analysis, , 3rd ed. New York : McGraw-Hill. .
- Efron , B. and Morris , C. 1971 . “Limiting the Risk of Bayes and Empirical Estimators—Part I: The Bayes Case,” . Journal of the American Statistical Association , 66 : 807 – 815 .
- Efron , B. and Morris , C. 1972a . “Limiting the Risk of Bayes and Empirical Bayes Estimators—Part II: The Empirical Bayes Case,” . Journal of the American Statistical Association , 67 : 130 – 139 .
- Efron , B. and Morris , C. 1972b . “Empirical Bayes on Vector Observations: An Extension of Stein's Method,” . Biometrika , 59 : 335 – 347 .
- Efron , B. and Morris , C. 1973a . “Combining Possibly Related Estimation Problems,” . Journal of the Royal Statistical Society , 35 : 379 – 421 . Ser. B
- Efron , B. and Morris , C. 1973b . “Stein's Estimation Rule and Its Competitors—An Empirical Bayes Approach,” . Journal of the American Statistical Association , 68 : 117 – 130 .
- Ellison , B. 1964 . “Two Theorems for Inference About the Normal Distribution With Applications in Acceptance Sampling,” . Journal of the American Statistical Association , 59 : 89 – 95 .
- Evans , R. 1969 . “Prior Knowledge, Engineers Versus Statisticians,” . IEEE Transactions on Reliability , 18 : 143
- Good , I. 1965 . The Estimation of Probabilities: An Essay on Modern Bayesian Methods Cambridge , MA : MIT Press. .
- Guttman , I. 1970 . Statistical Tolerance Regions: Classical and Bayesian London : Charles W. Griffin. .
- Hahn , G. and Shapiro , S. 1967 . Statistical Models in Engineering New York : John Wiley. .
- Hurshell , L. 1972 . “An Alternative Formulation of Bayesian Tolerance Intervals,” . Metron , 30 : 228 – 233 .
- Jackson , D. , Donovan , T. , Zimmer , W. and Deely , J. 1970 . “Γ2—Minimax Estimators in the Exponential Family,” . Biometrika , 57 : 439 – 443 .
- Jeffreys , H. 1961 . Theory of Probability Oxford , , U.K. : Clarendon Press. .
- Jilek , M. and Likar , O. 1960 . “Tolerance Regions of the Normal Distribution With Known Variance and Unknown Mean,” . Australian Journal of Statistics , 2 : 78 – 83 .
- Kendall , M. and Stuart , A. 1958 . Advanced Theory of Statistics, Volume 1: Distribution Theory New York : Hafner Press. .
- Krutchkoff , R. 1972 . “Empirical Bayes Estimation,” . The American Statistician , 26 : 14 – 16 .
- Lindgren , B. 1968 . Statistical Theory New York : Macmillan. .
- Lindley , D. 1965 . Introduction to Probability and Statistics From a Bayesian Viewpoint Cambridge , , U.K. : Cambridge University Press. .
- Lindley , D. and Smith , A. 1972 . “Bayes Estimates for the Linear Model,” . Journal of the Royal Statistical Society , 34 : 1 – 41 . Ser. B
- Maritz , J. 1970 . Empirical Bayes Methods (Monograph Series on Applied Probability and Statistics) London : Meuthen. .
- Martz , H. and Waller , R. 1982 . Bayesian Reliability Analysis New York : John Wiley. .
- Meyers , M. and Chawla , K. 1984 . Mechanical Metallurgy: Principles and Applications Englewood Cliffs , NJ : Prentice–Hall. .
- Miller , J. and Albert , A. 1956 . Mechanical Tests of Specimens From Large Aluminum Alloy Forgings Washington , DC : National Advisory Committee for Aeronautics. . Technical Note 3729
- Miyawsawa , K. 1961 . “An Empirical Bayes Estimator of the Mean of a Normal Population,” . Bulletin of the Institute of International Statistics , 38 : 181 – 188 .
- Morris , C. 1983a . “Parametric Empirical Bayes Inference: Theory and Applications,” . Journal of the American Statistical Association , 78 : 47 – 65 .
- Morris , C. 1983b . “Natural Exponential Families With Quadratic Variance Functions: Statistical Theory,” . The Annals of Statistics , 11 : 515 – 529 .
- Nelson , W. 1982 . Applied Life Data Analysis New York : John Wiley. .
- Nicholson , B. 1985 . “On the F Distribution for Calculating Bayes Credible Intervals for Fraction Nonconforming,” . IEEE Transactions on Reliability , 34 : 227 – 228 .
- Odeh , R. and Owen , D. 1980 . Tables for Normal Tolerance Limits, Sampling Plans, and Screening (Monograph 32) New York : Marcel Dekker. .
- Owen , D. 1962 . Handbook of Statistical Tables Reading , MA : Addison-Wesley. .
- Padgett , W. and Johnson , M. 1983 . “Bayesian Lower Tolerance Bounds on Reliability in the Lognormal Distribution,” . Canadian Journal of Statistics , 11 : 137 – 147 .
- Proschan , F. 1953 . “Confidence and Tolerance Intervals for the Normal Distribution,” . Journal of the American Statistical Association , 59 : 89 – 95 .
- Raiffa , H. and Schlaifer , R. 1961 . Applied Statistical Decision Theory Cambridge , MA : Harvard University Press. .
- Robbins , H. “An Empirical Bayes Approach to Statistics,” . Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability . Vol. 1 , pp. 157 – 164 . Berkeley : University of California Press. .
- Rubin , D. 1984 . “Bayesian Justifiable and Relevant Frequency Calculations for the Applied Statistician,” . The Annals of Statistics , 12 : 1151 – 1172 .
- Rutherford , J. and Krutchkoff , R. 1967 . “The Empirical Bayes Approach: Estimating the Prior Distribution,” . Biometrika , 54 : 326 – 328 .
- Sinha , S. 1985 . “Bayes Estimation of the Reliability Function of Normal Distribution,” . IEEE Transactions on Reliability , 34 : 360 – 362 .
- Tedford , J. “An Appreciation of Bayesian Tolerance Limits for Chemical Impurities,” . American Society of Quality Control 27th Annual Technical Conference Proceedings . pp. 102 – 106 .
- Tedford , J. , Carse , A. and Crossland , B. 1973 . “Comparison of Component and Small Specimen Block Load Fatigue Test Data,” . Engineering Fracture Mechanics , 5 : 241 – 258 .
- VanEeden , C. 1961 . “Some Approximations to the Percentage Points of the Noncentral t-Distribution,” . Revue Institut International de Statistique , 29 : 4 – 31 .
- Welch , B. and Johnson , N. 1940 . “Applications of the Non-central t-Distribution,” . Biometrika , 31 : 362 – 389 .
- Zacks , S. 1971 . The Theory of Statistical Inference New York : John Wiley. .