Powerful Modified-EDF Goodness-of-Fit Tests

References

• Bowman , K. O. 1973 . “Power of the Kurtosis Statistic, b 2, in Tests of Departures from Normality,” . Biometrika , 60 ( No. 3 ) : 623 – 8 .
   Web of Science ®Google Scholar
• D'Agostino , R. B. 1971 . “An Omnibus Test of Normality for Moderate and Large Sample Sizes,” . Biometrika , 58 ( No. 2 ) : 341 – 8 .
   Web of Science ®Google Scholar
• D'Agostino , R. B. 1972 . “Small-Sample Probability Points for the D-Test of Normality,” . Biometrika , 59 ( No. 1 ) : 219 – 21 .
   Web of Science ®Google Scholar
• D'Agostino , R. B. and Pearson , E. S. 1973 . “Tests for Departure from Normality. Empirical Results for the Distributions of b 2 and √b 1,” . Biometrika , 60 ( No. 3 ) : 613 – 22 .
   Web of Science ®Google Scholar
• Dahiya , R. C. and Gurland , J. 1972 . “Goodness-of-Fit Tests for the Gamma and Exponential Distributions,” . Technometrics , 14 ( No. 3 ) : 791 – 801 .
   Web of Science ®Google Scholar
• Durbin , J. 1961 . “Some Methods of Constructing Exact Tests,” . Biometrika , 48 : 41 – 55 . Part 1
   Web of Science ®Google Scholar
• Durbin , J. and Knott , M. 1972 . “Components of Cramér-von Mises Statistic 1,” . Journal of the Royal Statistical Society, Ser. B , 34 ( No. 2 ) : 290 – 307 .
   Google Scholar
• Feller , W. 1945 . “On the Normal Approximation to the Binomial Distribution,” . Annals of Mathematical Statistics , 16 ( No. 4 ) : 319 – 29 .
   Google Scholar
• Gurland , J. and Dahiya , R. C. 1970 . “A Test of Fit for Continuous Distributions Based on Generalized Minimum Chi-Square,” . In Statistical Papers in Honor of George W. Snedecor , Edited by: Bancroft , T. A. Ames , Iowa : Iowa State University Press .
   Google Scholar
• Kendall , M. G. and Stuart , A. 1967 . The Advanced Theory of Statistics , Vol. 2 , London : Charles Griffin and Co., Ltd. .
   Google Scholar
• Lilliefors , H. W. 1969 . “On the Kolmogorov-Smirnov Test for the Exponential Distribution with Mean Unknown,” . Journal of the American Statistical Association , 64 March : 387 – 9 .
   Web of Science ®Google Scholar
• Mann , H. B. and Wald , A. 1943 . “On Stochastic Limit and Order Relationships,” . Annals of Mathematical Statistics , 14 ( No. 3 ) : 217 – 26 .
   Google Scholar
• Pyke , R. 1959 . “The Supremum and Infinum of the Poisson Process,” . Annals of Mathematical Statistics , 30 ( No. 2 ) : 568 – 76 .
   Google Scholar
• Sarhan , A. E. and Greenberg , B. G. , eds. 1962 . Contributions to Order Statistics , New York : John Wiley & Sons, Inc. .
   Google Scholar
• Schafer , R. E. , Finkelstein , J. M. and Collins , J. 1972 . “On a Goodness-of-Fit Test for the Exponential Distribution with Mean Unknown,” . Biometrika , 59 ( No. 1 ) : 222 – 4 .
   Web of Science ®Google Scholar
• Shapiro , S. S. and Wilk , M. B. 1965 . “An Analysis of Variance Test for Normality (Complete Samples),” . Biometrika , 52 : 591 – 611 . Part 4
   Web of Science ®Google Scholar
• Shapiro , S. S. , Wilk , M. B. and Chen , H. J. 1968 . “A Comparative Study of Various Tests for Normality,” . Journal of the American Statistical Association , 63 December : 1343 – 72 .
   Web of Science ®Google Scholar
• Shapiro , S. S. , Wilk , M. B. , Chen , H. J. and Francia , R. S. 1972 . “An Approximate Analysis of Variance Test for Normality,” . Journal of the American Statistical Association , 67 March : 215 – 6 .
   Web of Science ®Google Scholar
• Seshadri , V. , Csorgo , M. and Stephens , M. A. 1969 . “Tests for the Exponential Distribution Using Kolmogorov-Type Statistics,” . Journal of the Royal Statistical Society, Ser. B , 31 ( No. 3 ) : 499 – 509 .
   Google Scholar
• Srinivason , R. 1970 . “An Approach to Testing the Goodness-of-Fit of Incompletely Specified Distributions,” . Biometrika , 57 ( No. 3 ) : 605 – 11 .
   Web of Science ®Google Scholar
• Stephens , M. A. 1969 . “Tests for Normality,” , Stanford , Calif. : Department of Statistics, Stanford University . Technical Report No. 152
   Google Scholar
• Stephens , M. A. 1970a . “Kolmogorov-Type Tests for Exponentiality When the Scale Parameter Is Unknown,” , Stanford , Calif. : Department of Statistics, Stanford University . Technical Report No. 154
   Google Scholar
• Stephens , M. A. 1970b . “Use of Kolmogorov-Smirnov, Cramér-von Mises and Related Statistics Without Extensive Tables,” . Journal of the Royal Statistical Society, Ser. B , 32 ( No. 1 ) : 115 – 22 .
   Google Scholar
• Stephens , M. A. 1971 . “Asymptotic Results for Goodness-of-Fit Statistics with Unknown Parameters,” , 180 Stanford , Calif. : Department of Statistics, Stanford University . Technical Reports 159
   Google Scholar
• Stephens , M. A. 1974 . “edf Statistics for Goodness-of-Fit and Some Comparisons,” . Journal of the American Statistical Association , 69 September : 730 – 7 .
   Web of Science ®Google Scholar