Tests of Fit for the Geometric Distribution

References

• Best , D. J. 1978 . “ A simple algorithm for the computer generation of random samples from a Student's t or symmetric beta distribution ” . In Compstat 78—Proceedings in Computational Statistics Vienna : Physica-Verlag .
   Google Scholar
• Best , D. J. and Rayner , J. C. W. 1989 . Goodness of fit for the geometric distribution . Biom. J. , 31 : 307 – 311 .
   Google Scholar
• Best , D. J. and Rayner , J. C. W. 1997 . Goodness of fit for the ordered categories discrete uniform distribution . Communications in Statistics—Theory and Methods , 26 : 899 – 909 .
   Google Scholar
• Best , D. J. and Rayner , J. C. W. 1999 . Goodness of fit for the Poisson distribution . Probability and Statistics Letters , 44 : 259 – 265 .
   Google Scholar
• Cheng , R. C. H. 1978 . Generating beta variates with nonintegral shape parameters . Communications of the ACM , 21 : 317 – 322 .
   Google Scholar
• Chernoff , H. and Lehmann , E. L. 1954 . The use of maximum likelihood estimates in χ 2 tests for goodness of fit . Ann. Math. Statist. , 25 : 579 – 586 .
   Google Scholar
• Dagpanur , J. 1988 . Principles of Random Variate Generation New York : Oxford University Press .
   Google Scholar
• Devroye , L. 1986 . Nonuniform Random Variate Generation New York : Springer-Verlag .
   Google Scholar
• Douglas , J. B. 1994 . Empirical fitting of discrete distributions . Biometrics , 50 : 576 – 579 .
   Google Scholar
• Emerson , P. L. 1968 . Numerical construction of orthogonal polynomials from a general recurrence formula . Biometrics , 24 : 695 – 701 .
   Google Scholar
• Evans , M. , Hastings , N. and Peacock , B. 1993 . Statistical Distributions New York : Wiley .
   Google Scholar
• Gulati , S. and Neus , J. 2002 . “ Goodness-of-fit statistics for the exponential distribution when the data are grouped ” . In Goodness-of-Fit Tests and Model Validity Edited by: Huber-Carol , C. , Balakrishan , N. , Nikulin , M. S. and Mesbah , M. 113 – 123 . Boston : Birkhauser .
   Google Scholar
• Henze , N. 1996 . Empirical-distribution-function goodness-of-fit tests for discrete models . Canadian Journal of Statistics , 24 : 81 – 93 .
   Google Scholar
• Henze , N. and Klar , B. 1996 . Properly rescaled components of smooth tests of fit are diagnostic . Austral. J. Statistic , 38 : 61 – 74 .
   Google Scholar
• Inglot , T. and Ledwina , T. 1996 . Asymptotic optimality of data-driven Neyman's tests for uniformity . Annals of Statistics , 24 : 1982 – 2019 .
   Google Scholar
• Johnson , N. L. , Kotz , S. and Kemp , A. W. 1992 . Univariate Discrete Distributions New York : Wiley .
   Google Scholar
• Kimber , A. C. 1987 . When is a χ 2 not a χ 2? . Teaching Statistics. , 9 : 74 – 77 .
   Google Scholar
• Lancaster , H. O. 1953 . A reconciliation of χ2 from metrical and enumerative aspects . Sankhya , 13 : 1 – 10 .
   Google Scholar
• Law , A. M. and Kelton , W. D. 1991 . Simulation Modeling & Analysis New York : McGraw-Hill. .
   Google Scholar
• Rayner , J. C. W. and Best , D. J. 1989 . Smooth Tests of Goodness of Fit New York : Oxford University Press .
   Google Scholar
• Rayner , J. C. W. , Best , D. J. and Mathews , K. L. 1995 . Interpreting the skewness coefficient . Communications in Statistics—Theory and Methods , 24 : 593 – 600 .
   Google Scholar
• Snedecor , G. W. and Cochran , W. G. 1989 . Statistical Methods. , 8th ed. Ames : Iowa State University Press .
   Google Scholar
• Spinelli , J. J. 2001 . Testing for fit for the grouped exponential distribution . Canadian Journal of Statistics , 29 : 451 – 458 .
   Google Scholar
• Spinelli , J. J. and Stephens , M. A. 1997 . Cramer-von Mises tests of fit for the Poisson distribution . Canadian Journal of Statistics , 25 : 257 – 268 .
   Google Scholar