A new goodness-of-fit test for type-I extreme-value and 2-parameter weibull distributions with estimated parameters

References

• Aly , A.A. , Emad-Eldin , M. and Shayib , A.M. 1992 . On some goodness-of-fit tests for the normal, logistic and extreme-svalue distributions . Comman. Statist.-Theory Meth , 21 : 1297 – 1308 .
   Web of Science ®Google Scholar
• Anderson , T.W. and Darling , D.A. 1954 . A test of goodness-of-fit . J. Amer. Math. Statist. Assoc , 49 : 300 – 310 .
   Web of Science ®Google Scholar
• Duman H. Moore A. H. A new goodness-of-fit test based on spacings for the Gamma distribution with known shape parameter from complete and censored samples Air Force Inst. of Tech. 1995 Wright-Patterson AFB, OH, US., AD-A293875, AFIT/GOR/ENC/ENS/95M-08
   Google Scholar
• Johnson , N.L. , Kotz , S. and Balakrishnan , N. 1995 . Continuous Univariate Distributions , Vol. 2 , John Wiley & Sons .
   Google Scholar
• Lawless , J.F. 1982 . Statistical models and methods for lifetime data , John Wiley & Sons .
   Google Scholar
• Liao M. Shimokawa T. Goodness-of-fit tests for the Type-I extreme-value and two-parameter Weibull distributions with unknown parameters estimated by graphical plotting techniques National Aerospace Laboratory 1999 Part 2: Power study, Technical Report. TR-1372T
   Google Scholar
• Littell , R.C. , McClave , J.T. and Offen , W.W. 1979 . Goodness-of-fit tests for two parameters Weibull distribution . Commun. Statist.-Simula. Computa , B8 : 257 – 269 .
   Web of Science ®Google Scholar
• Lockhart , R.A. , O’Reilly , F.J. and Stephen , M.A. 1986 . Tests for the extreme value and Weibull distributions based on normalized spacing . Naval Res. Logistic Quarterly , 33 : 413 – 421 .
   Google Scholar
• Mann , N.R. , Schafer , R.E. and Singpurwalla , N.D. 1974 . Methods for statistical analysis of reliability and life data , John Wiley & Sons .
   Google Scholar
• Marsaglia , G. and Bray , T.A. 1968 . One-line random number generators and their use in combinations . Communications of the ACM , 11 : 757 – 759 .
   Web of Science ®Google Scholar
• MIL-HDBK-5G . 1994 . Metallic Materials and Elements for Aerospace Vehicle Structures , U.S.A : Department of Defense .
   Google Scholar
• MIL-HDBK-17-1E . 1997 . Polymer Matrix Composites , Vol. 1 , U.S.A : Department of a Defense .
   Google Scholar
• Park , W.J. and Munsup , Seoh. 1994 . More goodness-of-fit tests for the power law process . IEEE Trans. on Reliability , 43 : 275 – 278 .
   Web of Science ®Google Scholar
• Shimokawa T. Liao M. Goodness-of-fit tests for the Type-I extreme-value and two-parameter Weibull distributions with unknown parameters estimated by graphical plotting techniques National Aerospace Laboratory 1999a Part 1: Critical Values, Technical Report, TR-1371T
   Google Scholar
• Shimokawa , T. and Liao , M. 1999b . Goodness-of-fit tests for Type-I extrme-value and two-parameter Weibull distributions . IEEE Transactions on Reliability , 48 ( 1 ) : 79 – 86 .
   Web of Science ®Google Scholar
• Stephens , M.A. 1974 . EDF statistics for goodness–of–fit and some comparisons . J. Amer. Math. Statist. Assoc , 69 ( 1 ) : 730 – 737 .
   Web of Science ®Google Scholar
• Stephen , M.A. 1977 . Goodness-of-fit for the extreme-value distribution . Biometrika , 64 ( 1 ) : 583 – 588 .
   Google Scholar
• Tiku , M.L. and Singh , M. 1981 . Testing the two-parameter Weibull distribution . Commun. Statist.-Theor. Meth , A10 ( 1 ) : 907 – 918 .
   Web of Science ®Google Scholar
• Whittaker I. C. Besuner P. M. A reliability analysis approach to fatigue life variability of aircraft structures Airforce Material Laboratory 1969 Technical Report, AFML-TR-69-65
   Google Scholar
• Woodruff , B.W. and Moore , A.H. 1988 . Application of goodness-of-fit tests in reliability . Handbook of Statistics , 7 ( 1 ) : 113 – 120 .
   Google Scholar
• Wozniak , P.J. and Li , X. 1990 . Goodness-of-fit for the two-parameter Weibull distribution with estimated parameters . J. Statist. Comput. Simul , 34 ( 1 ) : 133 – 143 .
   Google Scholar
• Wozniak , P.J. 1994 . Power of goodness-of-fit tests for the two-parameter Weibull distribution with estimated parameters . J. Statist. Comput. Simul , 50 ( 1 ) : 153 – 161 .
   Web of Science ®Google Scholar