LARGE-SAMPLE RESULTS FOR KOLMOGOROV-SMIRNOV STATISTICS FOR DISCRETE DISTRIBUTIONS
成果类型:
Article
署名作者:
WOOD, CL; ALTAVELA, MM
署名单位:
Cornell University
刊物名称:
BIOMETRIKA
ISSN/ISSBN:
0006-3444
发表日期:
1978
页码:
235239
关键词:
摘要:
The asymptotic distributions of the Kolmogorov-Smirnov goodness-of-fit statistics are considered when the hypothesized distribution is discrete. Each of the statistics apparently has the same distribution as a continuous functional of an associated empirical process on the unit interval. Using known weak convergence properties for the empirical process, the asymptotic distributions of the Kolmogorov-Smirnov statistics are derived. A discussion and example are included.