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Some New Goodness-of-Fit Tests Based on Stochastic Sample Quantiles
Zhao, Jianxin1,2; Xu, Xingzhong1; Ding, Xiaobo3
2009
Source PublicationCOMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
ISSN0361-0918
Volume38Issue:3Pages:571-589
AbstractThis article introduces some new tests for goodness-of-fit based on the differences between the sample quantiles and stochastic sample quantiles derived from the null distribution. Because stochastic sample quantiles for given sample observations are random, randomized statistics are derived, of which the qth quantile and the expectation are chosen as test statistics. Under uniform hypothesis, the asymptotic distributions of some new test statistics are given, respectively. The powers of the new tests under certain alternatives are examined. They are more powerful tests for the hypotheses concerned.
KeywordAnderson-Darling statistic Cramer-von Mises statistic Goodness of fit Kolmogorov-Smirnov statistic Sample quantiles Stochastic sample quantiles
DOI10.1080/03610910802585832
Language英语
Funding ProjectNational Natural Science Foundation of China[10771015]
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000207975900004
PublisherTAYLOR & FRANCIS INC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/7434
Collection应用数学研究所
Corresponding AuthorZhao, Jianxin
Affiliation1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
2.Navy Submarine Acad, Qingdao, Peoples R China
3.Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Zhao, Jianxin,Xu, Xingzhong,Ding, Xiaobo. Some New Goodness-of-Fit Tests Based on Stochastic Sample Quantiles[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION,2009,38(3):571-589.
APA Zhao, Jianxin,Xu, Xingzhong,&Ding, Xiaobo.(2009).Some New Goodness-of-Fit Tests Based on Stochastic Sample Quantiles.COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION,38(3),571-589.
MLA Zhao, Jianxin,et al."Some New Goodness-of-Fit Tests Based on Stochastic Sample Quantiles".COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION 38.3(2009):571-589.
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