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Original Articles

An Accurate Approximation to the Sampling Distribution of the Studentized Extreme Value Statistic

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Pages 83-97 | Published online: 23 Mar 2012

REFERENCES

  • Davis , P. J. 1964 . “ Gamma function and related functions. ” . In Handbook of Mathematical Functions Edited by: Abramowitz , M. and Stegun , I. A. 253 – 296 . National Bureau of Standards Applied Mathematics Series 55
  • Engelhardt , M. and Bain , L. J. 1973 . Some complete and censored sampling results for the Weibull distribution . Technometrics , 15 : 541 – 549 .
  • Engelhardt , M. and Bain , L. J. 1977 . Simplified statistical procedures for the Weibull or extreme-value distribution . Technometrics , 19 : 323 – 331 .
  • Fertig , K. W. 1976 . Reliability analysis systems with decreasing failure rate Rockwell International Science Center Technical Report SCTR-76–9
  • Fertig , K. W. and Mann , N. R. 1977 . Life test sampling plans for two parameter Weibull failure-time population Houston , TX : IMSL. . Rockwell International Science Center Internal Report. To appear in May 1980 Technometrics. International Mathematical and Statistical Library-1, Edition 6 (1977), 77036
  • Lawless , J. F. 1975 . Construction of tolerance bounds for extreme-value and Weibull distributions . Technometrics , 17 : 255 – 261 .
  • Lawless , J. F. and Mann , N. R. 1976 . Tests for homogeneity of extreme value scale parameters . Comm. in Statist. , A5 ( 5 ) : 381 – 405 .
  • Lee , L. and Lee , S. K. 1978 . Some results on inference for the Weibull process . Technometrics , 20 : 41 – 45 .
  • Mann , N. R. 1972 . Design of over-stress life-test experiments when failure times have the two-parameter Weibull distribution . Technometrics , 14 : 437 – 452 .
  • Mann , N. R. 1977 . An F approximation for two parameter Weibull and lognormal tolerance bounds based on possibly censored data . Naval Research Logistics Quarterly , 24 : 187 – 196 .
  • Mann , N. R. and Fertig , K. W. 1971 . Tables for obtaining confidence and tolerance bounds based on best linear invariant estimates of parameters of the extreme-value distribution Wright-Patterson Air Force Base , Ohio : Aerospace Research Laboratories, Air Force Systems Command, USAF. . Report No. ARL 71–0077
  • 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. 1975 . Simplified efficient point and interval estimators for Weibull parameters . Technometrics , 17 : 361 – 368 .
  • Mann , N. R. and Grubbs , F. E. 1974 . Chi-square approximations for exponential parameters, prediction intervals and beta percentiles . J. Amer. Statist. Assoc , 69 : 654 – 661 .
  • 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. .
  • Mann , N. R. , Scheuer , E. M. and Fertig , K. W. 1973 . A new goodness-of-fit test for the two-parameter Weibull or extreme-value distribution with unknown parameters . Comm. in Statist. , 2 : 383 – 400 .
  • Muller , D. E. 1956 . A method for solving algebraic equations using an automatic computer . MTAC , 10 : 657 – 667 .
  • 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 . Technometrics , 12 : 363 – 377 .
  • White , J. S. 1967 . The moments of log Weibull order statistics Warren , Michigan : General Motors Research Laboratories. . General Motors Research Publication GMR-717

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