Confidence Interval Estimation for the Weibull and Extreme Value Distributions

REFERENCES

• Bain , L. J. and Engelhardt , M. 1974 . Letter to the editor . Technometrics , 16 : 642
   Google Scholar
• Billman , B. R. , Antle , C. E. and Bain , L. J. 1972 . Statistical inferences from censored Weibull samples . Technometrics , 14 : 831 – 40 .
   Web of Science ®Google Scholar
• Bogdanoff , D. A. and Pierce , D. A. 1973 . Bayes-fiducial inference for the Weibull Distribution . J. Amer. Statist. Assoc , 68 : 659 – 64 .
   Web of Science ®Google Scholar
• Buehler , R. J. 1959 . Some validity criteria for statistical inferences . Ann. Math. Statist. , 30 : 845 – 63 .
   Google Scholar
• Cohen , A. C. 1965 . Maximum likelihood estimation in the Weibull distribution based on complete and on censored samples . Technometrics , 7 : 579 – 88 .
   Web of Science ®Google Scholar
• Cox , D. R. 1958 . Some problems connected with statistical inference . Ann. Math. Statist. , 29 : 357 – 72 .
   Google Scholar
• Edwards , A. W. F. 1974 . Letter to the editor . Technometrics , 16 : 641 – 2 .
   Google Scholar
• Engelhardt , M. 1975 . On simple estimation of the parameters of the Weibull or extreme value distribution . Technometrics , 17 : 369 – 74 .
   Web of Science ®Google Scholar
• Engelhardt , M. and Bain , L. J. 1973 . Some complete and censored sampling results for the Weibull or extreme value distribution . Technometrics , 15 : 541 – 9 .
   Web of Science ®Google Scholar
• Engelhardt , M. and Bain , L. J. 1974 . Some results on point estimation for the two-parameter Weibull or extreme value distribution . Technometrics , 16 : 49 – 56 .
   Web of Science ®Google Scholar
• Engelhardt , M. and Bain , L. J. 1977 . Simplified statistical procedures for the Weibull or extreme value distribution . Technometrics , 19 : 323 – 31 .
   Web of Science ®Google Scholar
• Fisher , R. A. 1934 . Two new properties of mathematical likelihood . Proc. Roy. Statist. Soc., A , 144 : 285 – 307 .
   Google Scholar
• Fraser , D. A. S. 1976 . Necessary analysis and adaptive inference . J. Amer. Statist. Assoc. , 71 : 99 – 111 .
   Web of Science ®Google Scholar
• Harter , H. L. and Moore , A. H. 1968 . Maximum likelihood estimation, from doubly censored samples, of the parameters of the first asymptotic distribution of extreme values . J. Amer. Statist. Assoc. , 63 : 889 – 901 .
   Web of Science ®Google Scholar
• Hora , R. B. and Buehler , R. J. 1966 . Fiducial theory and invariant estimation . Ann. Math. Statist. , 37 : 643 – 66 .
   Google Scholar
• Lawless , J. F. 1972 . Confidence interval estimation for the parameters of the Weibull distribution . Utilitas Math. , 2 : 71 – 87 .
   Google Scholar
• Lawless , J. F. 1973 . Conditional versus unconditional confidence intervals for the parameters of the Weibull distribution . J. Amer. Statist. Assoc. , 68 : 665 – 69 .
   Web of Science ®Google Scholar
• Lawless , J. F. 1973 . On the estimation of safe life when the underlying life distribution is Weibull . Technometrics , 15 : 857 – 65 .
   Web of Science ®Google Scholar
• Lawless , J. F. 1974 . On prediction of survival time for individual systems . IEEE Trans. Rel. , 23 : 235 – 41 .
   Web of Science ®Google Scholar
• Lawless , J. F. 1975 . Construction of tolerance bounds for the extreme value and Weibull distribution . Technometrics , 17 : 255 – 61 .
   Web of Science ®Google Scholar
• Mann , N. R. 1968 . Point and interval estimation procedures for the two-parameter Weibull and extreme value distributions . Technometrics , 10 : 231 – 56 .
   Web of Science ®Google Scholar
• Mann , N. R. 1976 . Warranty periods for production lots based on fatigue test data . Engineering Fracture Mechanics , 8 : 123 – 30 .
   Web of Science ®Google Scholar
• Mann , N. R. and Fertig , K. W. 1973 . Tables for obtaining confidence bounds and tolerance bounds based on best linear invariant estimates of parameters of the extreme value distribution . Technometrics , 15 : 87 – 101 .
   Web of Science ®Google Scholar
• Mann , N. R. and Fertig , K. W. 1975 . Simplified efficient point and interval estimators for Weibull parameters . Technometrics , 17 : 361 – 8 .
   Web of Science ®Google Scholar
• Mann , N. R. and Fertig , K. W. 1977 . Efficient unbiased quantile estimators for moderate-size complete samples from extreme value and Weibull distributions: confidence bounds and tolerance and prediction intervals . Technometrics , 19 : 87 – 93 .
   Web of Science ®Google Scholar
• Mann , N. R. , Fertig , K. W. and Scheuer , E. M. 1971 . Confidence and tolerance bounds and a new good-ness-of-fit test for the two-parameter Weibull distribution Wright Patterson AFB , Ohio : Office of Aerospace Research. . Aerospace Research Laboratories Report ARL 71–0077
   Google Scholar
• Mann , N. R. and Saunders , S. 1969 . On evaluation of warranty assurance when life has a Weibull distribution . Biometrika , 56 : 615 – 25 .
   Web of Science ®Google Scholar
• Mann , N. R. , Schafer , R. E. and Singpurwalla , N. D. 1974 . Methods for Statistical Analysis of Reliability and Life Data. New York : John Wiley and Sons. .
   Google Scholar
• McCool , J. I. 1970 . Inferences on Weibull percentiles and shape parameter from maximum likelihood estimates . IEEE Trans. Rel. , 19 : 2 – 9 .
   Web of Science ®Google Scholar
• McCool , J. I. 1974 . Inferential techniques for Weibull populations Wright Patterson AFB , Ohio : Office of Aerospace Research. . Aerospace Research Laboratories Report ARL 74–0180
   Google Scholar
• McIntosh , A. A. 1977 . Weibull Analysis Package User's Manual Unpublished notes
   Google Scholar
• Robinson , G. K. 1975 . Some counterexamples to the theory of confidence intervals . Biometrika , 62 : 155 – 61 .
   Web of Science ®Google Scholar
• Thoman , D. R. , Bain , L. J. and Antle , C. E. 1969 . Inferences on the parameters of the Weibull distribution . Technomelrics , 11 : 445 – 60 .
   Web of Science ®Google Scholar
• Thoman , D. R. , Bain , L. J. and Antle , C. E. 1970 . Maximum likelihood estimation, exact confidence intervals for reliability and tolerance limits in the Weibull distribution . Technomelrics , 12 : 363 – 72 .
   Web of Science ®Google Scholar
• Zack , S S. 1971 . The Theory of Statistical Inference New York : John Wiley and Sons. . Chapter 7
   Google Scholar