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Original Articles

On Constructing Prediction Intervals for Samples from a Weibull or Extreme Value Distribution

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Pages 567-573 | Published online: 23 Mar 2012

REFERENCES

  • Antle , C. E. and Rademaker , F. 1972 . An upper confidence limit on the maximum of m future observations from a type I extreme-value distribution . Biometrika , 59 : 475 – 477 .
  • Davis , P. J. 1964 . “ Gamma function and related functions. ” . In Handbook of Mathematical Functions Edited by: Abramowitz , M. and Stegun , I. A. 255 – 293 . Washington , D.C. : National Bureau of Standards, U.S. Government Printing Office. . 20042
  • Engelhardt , M. 1975 . On simple estimation of the parameters of the Weibull or extreme-value distribution . Technometrics , 17 : 369 – 374 .
  • 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 .
  • Engelhardt , M. and Bain , L. J. 1977 . Simplified statistical procedures for the Weibull or extreme-value distribution . Technometrics , 19 : 323 – 331 .
  • Engelhardt , M. and Bain , L. J. 1978 . Prediction intervals for the Weibull process . Technometrics , 20 : 167 – 169 .
  • Engelhardt , M. and Bain , L. J. 1979 . Prediction limits and two-sample problems with complete or censored Weibull data . Technometrics , 21 : 233 – 237 .
  • Fertig , K. W. and Mann , N. R. 1978 . An accurate approximation to the sampling distribution of the Studentized extreme value statistic . Technometrics , 22 : 83 – 97 .
  • Hahn , G. J. 1969 . Factors for calculating two-sided prediction intervals for samples from a normal distribution . J. Amer. Statist. Assoc. , 64 : 878 – 888 .
  • Hahn , G. J. 1970 . Calculating prediction intervals for samples from a normal distribution . J. Amer. Statist. Assoc. , 650 : 1668 – 1676 .
  • Lawless , J. F. 1973 . On the estimation of safe life when the underlying life distribution is Weibull . Technometrics , 15 : 857 – 865 .
  • Lawless , J. F. 1975 . Construction of tolerance bounds for extreme value and Weibull distributions . Technometrics , 17 : 255 – 261 .
  • Mann , N. R. 1976 . Warranty periods for production lots based on fatigue-test data . Engr. Fracture Mechanics , 8 : 123 – 130 .
  • Mann , N. R. Use of life test data analysis methodology for analyzing undesirable habitual behavior . Proceedings of the Nth Annual Conference on Statistics, Operations Research and Computer Science . March 10–14 1979 , Cairo , Egypt. Institute of Statistical Studies and Research, Cairo University. . Also available as Serial T-406, The George Washington University Institute for Management Science and Engineering, Washington, D.C. 20052
  • Mann , N. R. and Fertig , K. W. 1975 . Simplified efficient point and interval estimates for Weibull parameters . Technometrics , 17 : 361 – 368 .
  • Mann , N. R. and Saunders , S. C. 1969 . On evaluation of warranty assurance when life has a Weibull distribution . Biometrika , 56 : 615 – 625 .
  • 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. .
  • Sarhan , A. E. and Greenberg , B. G. 1962 . Contributions to Order Statistics. New York : John Wiley and Sons. .

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