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Some multivariate goodness-of-fit tests based on data depth

Caiya Zhang, Yanbiao Xiang and Xinmei Shen

Journal of Applied Statistics, 2012, vol. 39, issue 2, 385-397

Abstract: Based on data depth, three types of nonparametric goodness-of-fit tests for multivariate distribution are proposed in this paper. They are Pearson’s chi-square test, tests based on EDF and tests based on spacings, respectively. The Anderson--Darling (AD) test and the Greenwood test for bivariate normal distribution and uniform distribution are simulated. The results of simulation show that these two tests have low type I error rates and become more efficient with the increase in sample size. The AD-type test performs more powerfully than the Greenwood type test.

Date: 2012
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DOI: 10.1080/02664763.2011.594033

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