New Goodness of Fit Tests Based on Stochastic EDF

References

• Aggarwal , O. P. ( 1955 ). Some minimax invariant procedures for estimating a cumulative distribution function . Ann. Math. Statist. 26 : 450 – 463 .
   Google Scholar
• Anderson , T. W. , Darling , D. A. ( 1952 ). Asymptotic theory of certain goodness of fit criteria based on stochastic processes . Ann. Math. Statist. 23 : 193 – 212 .
   Google Scholar
• Berk , R. H. , Jones , D. H. ( 1979 ). Goodness of fit test statistics that dominate the Kolmogorov statistics . Z. Wahrsch. Verw. Gebiete 47 : 47 – 59 .
   Web of Science ®Google Scholar
• Cramér , H. ( 1928 ). On the composition of elementary errors. [Second paper: Statistical applications.] Skand. Aktuartidskr. 11 : 141 – 180 .
   Google Scholar
• Choudhuri , N. ( 1998 ). Bayesian bootstrap credible sets for multidimensional mean functional . Ann. Statist. 26 : 2104 – 2127 .
   Web of Science ®Google Scholar
• Dvoretsky , A. , Kiefer , J. , Wolfowitz , J. ( 1956 ). Asymptotic minimax character of the sample distribution function and of the classical multinomial estimator . Ann. Math. Statist. 27 : 642 – 669 .
   Google Scholar
• D'Agostino , R. B. , Stephens , M. A. ( 1986 ). Goodness of Fit Techniques . New York : Marcel Dekker .
   Google Scholar
• Einmahl , J. H. J. , Mckeague , I. W. ( 2003 ). Empirical likelihood based hypothesis testing . Bernoulli 9 : 267 – 290 .
   Web of Science ®Google Scholar
• Gasparini , M. ( 1995 ). Exact multivariate Bayesian bootstrap distributions of moments . Ann. Statist. 23 : 762 – 768 .
   Web of Science ®Google Scholar
• Green , J. R. , Hegazy , Y. A. S. ( 1976 ). Powerful modifed-edf goodness of fit tests . J. Amer. Statist. Assoc. 71 : 204 – 209 .
   Web of Science ®Google Scholar
• Hegazy , Y. A. S. , Green , J. R. ( 1975 ). Some new goodness of fit tests using order statistics . Appl. Statist. 24 : 299 – 308 .
   Web of Science ®Google Scholar
• Kolmogorov , A. ( 1933 ). Sulla determinazione empirica di una legge di distribuzione . Giorn. Ist. Ital. Attuari. 4 : 83 – 91 .
   Google Scholar
• Lo , A. Y. ( 1987 ). A large-sample study of the Bayesian bootstrap . Ann. Statist. 15 : 360 – 375 .
   Web of Science ®Google Scholar
• Lo , A. Y. ( 1988 ). A Bayesian bootstrap for a finite population . Ann. Statist. 16 : 1684 – 1695 .
   Web of Science ®Google Scholar
• Owen , A.B. ( 2001 ). Empirical Likelihood . London : Chapman & Hall .
   Google Scholar
• Pyke , R. ( 1959 ). The supremum and infimum of the Poisson process . Ann. Math. Statist. 30 : 568 – 576 .
   Google Scholar
• Rubin , D. B. ( 1981 ). The Bayesian bootstrap . Ann. Statist. 9 : 130 – 134 .
   Web of Science ®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
• von Mises , R. ( 1931 ). Wahrscheinlichkeitsrechnung . Wein : Leipzig .
   Google Scholar
• Weng , C. S. ( 1989 ). On a second-order asymptotic property of the Bayesian bootstrap mean . Ann. Statist. 17 : 705 – 710 .
   Web of Science ®Google Scholar
• Xu , X. , Ding , X. , Zhao , S. ( 2009 ). New goodness of fit tests based on fiducial empirical distribution function . Computat. Statist. Data Anal. 53 : 1132 – 1141 .
   Google Scholar