Averaged shifted chi-square test

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Title:	Averaged shifted chi-square test
Authors:	Wu, Jyh-Shyang;Deng, Wen-Shuenn
Contributors:	淡江大學數學學系;淡江大學統計學系
Keywords:	averaged shifted chi-square statistics;goodness-of-fit test;anchor point;U-statistics;overlapping ells
Date:	2012
Issue Date:	2011-09-04 11:13:40 (UTC+8)
Publisher:	Abingdon: Taylor & Francis Ltd.
Abstract:	A simple procedure based on the average of shifted chi-square statistics (ASCS) is proposed to improve the classical chi-square procedure for testing whether a random sample has been drawn from a specified continuous distribution. We repeatedly partition the sample space, say, ℓ times to obtain ℓ respective chi-square statistics. The proposed test statistic is defined as the average value of the resultant ℓ shifted chi-square statistics. We prove that the ASCS is asymptotically distributed as a weighted sum of a finite number of chi-square variables by the theory of U-statistics. The proposed procedure is shown to be markedly less sensitive to the choice of the anchor position and Monte Carlo experiments demonstrate that it leads to noticeable gains in power.
Relation:	Journal of Nonparametric Statistics 24(1), pp.39-57
DOI:	10.1080/10485252.2011.608849
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article [Graduate Institute & Department of Mathematics] Journal Article

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