1. Watson's UN2 statistic for a discrete distribution
- Author
-
L. S. Freedman
- Subjects
Statistics and Probability ,Percentile ,Distribution (number theory) ,Applied Mathematics ,General Mathematics ,Monte Carlo method ,Asymptotic distribution ,Agricultural and Biological Sciences (miscellaneous) ,Goodness of fit ,Sample size determination ,Statistics ,Probability distribution ,Applied mathematics ,Statistics, Probability and Uncertainty ,General Agricultural and Biological Sciences ,Statistic ,Mathematics - Abstract
SUMMARY A general method is given for obtaining approximate percentiles of the asymptotic distribution of Watson's UN for testing goodness of fit to a completely specified discrete distribution. The method is applied to a particular distribution arising in data on seasonal incidence. Monte Carlo simulations give estimates of percentiles which are generally consistent with those obtained by the approximate method. The asymptotic results approximate well for sample sizes as small as 25. The power of UN is estimated and compared to that of Kuiper's VN and Edwards's test.
- Published
- 1981
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