Sankhya: The Indian Journal of Statistics
1996, Volume 58, Series A, Pt. 3, pp. 464--472
MODIFICATION OF SOME GOODNESS TO FIT STATISTICS II : TWO-SAMPLE AND SYMMETRY TESTING
IBRAHIM A. AHMED, Northern Illinois University
SUMMARY. In recent article, Ahmed (1993), it was shown how the celebrated Cramér Von Mises and Watson statistics can be modified to yield asymptotically normal null distribution using the usual root n standardization. Her we continue along these lines and allow how such modification can be done in the two-sample case and in testing symmetry. These modified tests are consistent and distribution-free as well as equally applicable to the univariate or multivariate cases.
AMS (1980) subject classification. Primary 62F05.
Key words and phrases. Goodness of fit test, two-sample Cramer-von Mises statistics, testing for symmetry, power of tests.
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