# THE EXACT ASYMPTOTIC DISTRIBUTION FUNCTION OF WATSON ’ S UN 2 FOR TESTING GOODNESS-OFFIT WITH CIRCULAR DISCRETE DATA *

@inproceedings{Giles2006THEEA, title={THE EXACT ASYMPTOTIC DISTRIBUTION FUNCTION OF WATSON ’ S UN 2 FOR TESTING GOODNESS-OFFIT WITH CIRCULAR DISCRETE DATA *}, author={David E. A. Giles}, year={2006} }

* 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 " .

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