A family of simple distribution functions to approximate complicated distributions

Journal of Statistical Computation and Simulation

Volumn 70, Issue 3, 2001, Pages 257-266

  Zhang, Jin ^a   Wu, Yuehua ^a  

^a YORK UNIVERSITY   (Canada)

Author keywords

Approximate distribution; Cram r von Mises statistic; Kurtosis; Skewness; Waston's statistic

Indexed keywords

EID: 0035643402     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/00949650108812120     Document Type: Article

References (10)

1. Anderson, T. W. and Darling, D. A. (1952) Asymptotic theory of certain "goodness of fit" criteria based on stochastic processes. Ann. Math. Statist., 23, 193-212.
2. Csörgo, S. and Faraway, J. J. (1996) The exact and asymptotic distributions of Cramér-von Mises statistics. J. R. Statist. Soc. B, 58, 221-234.
3. Knott, M. (1974) The distribution of the Cramér-von Mises statistic for small sample sizes. J. R. Statist. Soc. B, 36, 430-438.
4. n. Ann. Math. Statist., 29, 307-309.
5. N. Biometrika, 49, 397-402.
6. N. I. Biometrika, 50, 303-313.
7. N. II. Biometrika, 51, 393-397.
8. Stephens, M. A. (1970) Use of the Kolmogorov-Smirnov, Cramér-von Mises and related statistics without extensive tables. J. R. Statist. Soc. B, 32, 115-122.
9. N. Biometrika, 52, 630-633.
10. Watson, G. S. (1961) Goodness-of-fit tests on a circle. Biometrika, 48, 109-114.