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Technometrics Volume 17, 1975 - Issue 2
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Original Articles

Construction of Tolerance Bounds for the Extreme-Value and Weibull Distributions

J. F. Lawless Department of Statistics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
Pages 255-261 | Published online: 09 Apr 2012

References

  • Bain , L. J. 1972 . “Inferences Based on Censored Sampling for the Weibull or Extreme-Value Distribution” . Technometrics , 14 : 693 – 702 .
  • Billman , B. R. , Antle , C. E. and Bain , L. J. 1972 . “Statistical Inference from Censored Weibull Samples” . Technometrics , 14 : 831 – 840 .
  • Engelhardt , M. and Bain , L. J. 1973 . “Some Complete and Censored Sampling Results for the Weibull or Extreme-Value Distribution” . Technometrics , 15 : 541 – 549 .
  • Engelhardt , M. and Bain , L. J. 1974 . “Some Results on Point Estimation for the Two-Parameter Weibull or Extreme-Value Distribution” . Technometrics , 16 : 49 – 58 .
  • Fisher , R. A. 1934 . “Two New Properties of Mathematical Likelihood” . Proc. R. Soc., A. , 144 : 285 – 307 .
  • 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 .
  • Johns , M. V. Jr. and Lieberman , G. J. 1966 . “An Exact Asymptotically Efficient Confidence Bound for Reliability in the Case of the Weibull Distribution” . Technometrics , 8 : 135 – 175 .
  • Lawless , J. F. 1972 . “Confidence Intervals for the Parameters of the Weibull Distribution” . Utilitas Mathematica , 2 : 71 – 87 .
  • Lawless , J. F. 1973 . “On the Estimation of Safe Life When the Underlying Life Distribution is Weibull” . Technometrics , 15 : 857 – 865 .
  • Mann , N. R. 1968 . “Point and Interval Estimation Procedures for the Two-Parameter Weibull and Extreme-Value Distributions” . Technometrics , 10 : 231 – 256 .
  • Mann , N. R. and Fertig , K. W. 1973 . “Tables for Obtaining Weibull Confidence Bounds and Tolerance Bounds Based on Best Linear Invariant Estimates of Parameters of the Extreme-Value Distribution” . Technometrics , 15 : 87 – 101 .
  • Mann , N. R. and Fertig , K. W. 1974 . “Simplified Efficient Point and Interval Estimators for Weibull Parameters” to appear in Technometrics.
  • 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. .
  • Thoman , D. R. , Bain , L. J. and Antle , C. E. 1970 . “Reliability and Tolerance Limits in the Weibull Distribution” . Technometrics , 12 : 363 – 371 .

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