Watson's UN2 statistic for a discrete distribution
Watson's UN2 statistic for a discrete distribution
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Watson 离散分布的 UN2 统计量
DOI：
10.1093/biomet/68.3.708
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发表时间：
1981
期刊：
影响因子：
2.7
通讯作者：
L. Freedman
中科院分区：
文献类型：
--
作者：
L. Freedman
摘要给出了一种获得沃森联合国渐近分布的近似分布的一般方法，用于检验对完全指定的离散分布的拟合优度。该方法适用于季节性发病率数据中出现的特定分布。Monte Carlo模拟给出了近似方法得到的近似值与估计值基本一致。对于小到25的样本量，渐近结果近似良好。估计了UN的功率，并与Kuiper的VN和Edwards的检验进行了比较。
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.