Empirical-distribution-function goodness-of-fit tests for discrete models

Canadian Journal of Statistics

Volumn 24, Issue 1, 1996, Pages 81-93

  Henze, Norbert ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Geometric distribution; Goodness of fit; Parametric bootstrap; Poisson distribution; Sequence space

Indexed keywords

EID: 0030552460     PISSN: 03195724     EISSN: None     Source Type: Journal    
DOI: 10.2307/3315691     Document Type: Article

References (19)

1. Altavela, M.M., and Wood, C.L. (1978). Large-sample results for Kolmogorov-Smirnov statistics for discrete distributions. Biometrika, 65, 235-239.
2. Baringhaus, L., and Henze, N. (1988). A consistent test for multivariate normality based on the empirical characteristic function. Metrika, 35, 339-348.
3. Baringhaus, L., and Henze, N. (1991). A class of consistent tests for exponentiality based on the empirical Laplace transform. Ann. Inst. Statist. Math., 43, 551-564.
4. Baringhaus, L., and Henze, N. (1992a). A goodness of fit test for the Poisson distribution based on the empirical generating function. Statist. Probab. Lett., 13, 269-274.
5. Baringhaus, L., and Henze, N. (1992b). An adaptive omnibus test for exponentiality. Comm. Statist. Theory Methods, A21, 969-978.
6. Billingsley, P. (1968). Convergence of Probability Measures. Wiley, New York.
7. Burke, M.D., Csörgo, M., Csörgo, S., and Révész, P. (1979). Approximations of the empirical process when parameters are estimated. Ann. Probab., 7, 790-810.
8. Campbell, D.B., and Oprian, C.A. (1979). On the Kolmogorov-Smirnov test for the Poisson distribution with unknown mean. Biometrical J., 21, 17-24.
9. Conover, W.J. (1972). A Kolmogorov goodness-of-fit test of discontinuous distributions. J. Amer. Statist. Assoc., 67, 591-596.
10. D'Agostino, R.B., and Stephens, M.A. (1986). Goodness-of-fit Techniques. Dekker, New York.
11. Durbin, J. (1973). Weak convergence of the sample distribution function when parameters are estimated. Ann. Statist., 1, 279-290.
12. Epps, T.W., and Pulley, L.B. (1983). A test for normality based on the empirical characteristic function. Biometrika, 70, 723-726.
13. Henze, N., and Zirkler, B. (1990). A class of invariant consistent tests for multivariate normality. Comm. Statist. Theory Methods, A19, 3595-3617.
14. Henze, N. (1993). A new flexible class of omnibus tests for exponentiality. Comm. Statist. Theory Methods, A22, 115-133.
15. Horn, S.D. (1977). Goodness-of-fit tests for discrete data. Biometrics, 33, 237-248.
16. Nakamura, M., and Pérez-Abreu, V. (1993). Use of an empirical generating function for testing a Poisson model. Canad. J. Statist., 21, 149-156.
17. Pettit, A.N., and Stephens, M.A. (1977). The Kolmogorov-Smirnov goodness-of-fit statistic with discrete and grouped data. Technometrics, 19, 205-210.
18. Rueda, R., Pérez-Abreu, V., and O'Reilly, F. (1991). Goodness of fit test for the Poisson distribution based on the probability generating function. Comm. Statist. Theory Methods, A20, 3093-3110.
19. Stute, W., Manteiga, W.G., and Quindimil, M.P. (1993). Bootstrap based goodness-of-fit tests. Metrika, 40, 243-256.