The Exact Asymptotic Distribution Function of Watson’s Un for Testing Goodness-of-fit with Circular Discrete Data*
نویسنده
چکیده
* We are grateful to Sophie Hesling for her assistance with data collection. Abstract We show that the full asymptotic distribution for Watson's 2 N U statistic, modified for discrete data, can be computed by standard methods. Previous approximate percentiles for the uniform multinomial case are found to be accurate. More extensive percentiles are presented for this distribution, and for the distribution associated with " Benford's Law " .
منابع مشابه
Exact Asymptotic Goodness-of-Fit Testing For Discrete Circular Data, With Applications
Author Contact: David E. Giles, Dept. of Economics, University of Victoria, P.O. Box 1700, STN CSC, Victoria, B.C., Canada V8W 2Y2; e-mail: [email protected]; Phone: (250) 721-8540; FAX: (250) 721-6214 Abstract We show that the full asymptotic null distribution for Watson’s 2 N U statistic, modified for discrete data, can be computed simply and exactly by standard methods. Previous approximate qua...
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