Goodness of fit test for the generalized Rayleigh distribution with unknown parameters

References

• Mudholkar , G. S. and Hutson , A. D. 1996 . Exponentiated Weibull family: Some properties and flood data application . Comm. Statist. Theory Methods , 25 : 3050 – 3083 .
   Google Scholar
• Gupta , R. D. and Kundu , D. 2001 . Exponentiated exponential family: An alternative to gamma and Weibull distributions . Biom. J. , 43 : 117 – 130 .
   Web of Science ®Google Scholar
• Surles , J. G. and Padgett , W. J. 2001 . Inference for reliability and stress-strength for a scaled Burr type X distribution . Lifetime Data Anal. , 7 : 187 – 200 .
   PubMed Web of Science ®Google Scholar
• Kundu , D. and Gupta , R. D. 2007 . A convenient way of generating gamma random variables using generalized exponential distribution . Comput. Statist. Data Anal. , 51 ( 5 ) : 2796 – 2802 .
   Google Scholar
• Kundu , D. and Gupta , R. D. 2008 . Generalized exponential distribution: Bayesian estimation . Comput. Statist. Data Anal. , 52 ( 4 ) : 1873 – 1883 .
   Web of Science ®Google Scholar
• Sartawi , H. A. and Abu-Salih , M. S. 1991 . Bayes prediction bounds for the Burr type X model . Comm. Statist. Theory Methods , 20 : 2307 – 2330 .
   Web of Science ®Google Scholar
• Jaheen , Z. F. 1995 . Bayesian approach to prediction with outliers from the Burr type X model . Microelectron. Reliab. , 35 : 45 – 47 .
   Web of Science ®Google Scholar
• Jaheen , Z. F. 1996 . Empirical Bayes estimation of the reliability and failure rate functions of the Burr type X failure model . J. Appl. Statist. Sci. , 3 : 281 – 288 .
   Google Scholar
• Ahmad , K. E. , Fakhry , M. E. and Jaheen , Z. F. 1997 . Empirical Bayes estimation of P(Y<X) and characterization of Burr-type X model . J. Statist. Plann. Inference , 64 : 297 – 308 .
   Web of Science ®Google Scholar
• Raqab , M. Z. 1998 . Order statistics from the Burr type X model . Comput. Math. Appl. , 36 : 111 – 120 .
   Web of Science ®Google Scholar
• Surles , J. G. and Padgett , W. J. 1998 . Inference for P(Y<X) in the Burr type X model . J. Appl. Statist. Sci. , 7 : 225 – 238 .
   Google Scholar
• Kundu , D. and Raqab , M. Z. 2005 . Generalized Rayleigh distribution: Different methods of estimation . Comput. Statist. Data Anal. , 49 : 187 – 200 .
   Web of Science ®Google Scholar
• Raqab , M. Z. and Kundu , D. 2006 . Burr type X distribution: Revisited . J.Probab. Statist. Sci. , 4 ( 2 ) : 179 – 193 .
   Google Scholar
• D'Agostino , R. B. and Stephens , M. A. 1986 . Goodness-of-Fit Techniques , Edited by: D'Agostino , R. B. and Stephens , M. A. New York : Marcel Dekker .
   Google Scholar
• Stephens , M. A. 1974 . EDF statistics for goodness of fit and some comparisons . J. Amer. Statist. Assoc. , 69 : 730 – 737 .
   Web of Science ®Google Scholar
• Stephnes , M. A. 1977 . Goodness-of-fit for the extreme-value distribution . Biometrika , 64 : 583 – 588 .
   Google Scholar
• Lilliefors , H. W. 1967 . On the Kolmogorov–Smirnov test for normality with mean and variance unknown . J. Amer. Statist. Assoc. , 62 : 399 – 402 .
   Web of Science ®Google Scholar
• Lilliefors , H. W. 1969 . On the Kolmogorov–Smirnov test for the exponential distribution with mean unknown . J. Amer. Statist. Assoc. , 64 : 387 – 389 .
   Web of Science ®Google Scholar
• Littell , R. D. , McClave , J. T. and Offen , W. W. 1979 . Goodness of fit tests for the two parameter Weibull distribution . Comm. Statist. Simulation Comput. , 8 ( 3 ) : 257 – 269 .
   Web of Science ®Google Scholar
• Woodruff , B. W. , Moore , A. H. , Dunne , E. J. and Cortes , R. 1983 . A modified Kolmogorov–Smirnov test for Weibull distributions with unknown location and scale parameters . IEEE Trans. Reliab. , 32 ( 2 ) : 209 – 212 .
   Google Scholar
• Bush , J. G. , Woodruff , B. W. , Moore , A. H. and Dunne , E. J. 1983 . Modified Cramer–von Mises and Anderson–Darling tests for Weibull distributions with unknown location and scale parameters . Comm. Statist. Theory Methods , 12 ( 21 ) : 2465 – 2476 .
   Web of Science ®Google Scholar
• Woodruff , B. W. , Viviano , P. J. , Moore , A. H. and Dunne , E. J. 1984 . Modified goodness of fit tests for gamma distributions with unknown location and scale parameters . IEEE Trans. Reliab. , 33 ( 3 ) : 241 – 245 .
   Web of Science ®Google Scholar
• Yen , V. C. and Moore , A. H. 1988 . Modified goodness of fit test for the Laplace distribution . Comm. Statist. Simulation Comput. , 17 ( 1 ) : 275 – 281 .
   Web of Science ®Google Scholar
• Stephnes , M. A. 1976 . Asymptotic power of EDF statistic for exponentially against gamma and Weibull alternatives , Department of Statistics, Stanford University . Tech. Rep. No. 297
   Google Scholar
• Anderson , T. W. and Darling , D. A. 1954 . A test of goodness of fit . J. Amer. Statist. Assoc. , 49 : 765 – 769 .
   Web of Science ®Google Scholar
• Sinclair , C. D. , Spurr , B. D. and Ahmad , M. I. 1990 . Modified Anderson–Darling test . Comm. Statist. Theory Methods , 19 : 3677 – 3686 .
   Web of Science ®Google Scholar
• Choulakian , V. and Stephens , M. A. 2001 . Goodness of fit tests for the generalized Pareto distribution . Technometrics , 43 : 478 – 484 .
   Web of Science ®Google Scholar
• Pashardes , S. and Christofides , C. Statistical analysis of wind speed and direction in Cyprus . Sol. Energy , 55 ( 4 ) 405 – 414 .
   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 & Sons .
   Google Scholar