Integral-type tests for goodness-of-fit

doi:10.1007/s11424-010-8264-9

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	Integral-type tests for goodness-of-fit
	Zhang, Junjian 1,2; Li, Guoying 3
	2010-08-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	23 期号:4 页码:784-795
摘要	A family of integral-type goodness-of-fit tests is investigated. This family includes some existing tests, such as the Cram,r-von Mises test and Anderson-Darling test, etc. The asymptotic distributions of the tests in the family under the null and local alternative hypotheses are established. The almost sure convergence under a fixed underlying distribution is obtained. Furthermore, simulations are conducted to compare the powers of the tests in the family. Simulation results show that for different alternatives, the more powerful tests are different, and the parameter lambda has great influence on the tests in small sample cases.
关键词	Asymptotic distribution goodness-of-fit integral-type tests power comparison
DOI	10.1007/s11424-010-8264-9
语种	英语
资助项目	National Natural Science Foundation of China[10661003] ; National Natural Science Foundation of China[10371126] ; Guangxi Science Foundation[0832102] ; Doctor Foundation of Guangxi Normal University
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000281705600009
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9279
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Junjian
作者单位	1.Guangxi Normal Univ, Coll Math, Guilin 541004, Peoples R China 2.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Junjian,Li, Guoying. Integral-type tests for goodness-of-fit[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2010,23(4):784-795.
APA	Zhang, Junjian,&Li, Guoying.(2010).Integral-type tests for goodness-of-fit.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,23(4),784-795.
MLA	Zhang, Junjian,et al."Integral-type tests for goodness-of-fit".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 23.4(2010):784-795.