Title
Generalized Cramér-von Mises goodness-of-fit tests for multivariate distributions
Abstract
A class of statistics for testing the goodness-of-fit for any multivariate continuous distribution is proposed. These statistics consider not only the goodness-of-fit of the joint distribution but also the goodness-of-fit of all marginal distributions, and can be regarded as generalizations of the multivariate Cramer-von Mises statistic. Simulation shows that these generalizations, using the Monte Carlo test procedure to approximate their finite-sample p-values, are more powerful than the multivariate Kolmogorov-Smirnov statistic.
Year
DOI
Venue
2009
10.1016/j.csda.2009.04.004
Computational Statistics & Data Analysis
Keywords
Field
DocType
generalized cram,marginal distribution,multivariate distribution,monte carlo test procedure,multivariate cramer-von mises statistic,goodness-of-fit test,joint distribution,multivariate continuous distribution,multivariate kolmogorov-smirnov statistic,simulation shows,finite-sample p-values,goodness of fit test,kolmogorov smirnov,goodness of fit
Multivariate t-distribution,Econometrics,Multivariate stable distribution,Cramér–von Mises criterion,Multivariate statistics,Hotelling's T-squared distribution,Statistics,Inverse-Wishart distribution,Normal-Wishart distribution,Mathematics,Matrix t-distribution
Journal
Volume
Issue
ISSN
53
11
Computational Statistics and Data Analysis
Citations 
PageRank 
References 
7
0.74
2
Authors
2
Name
Order
Citations
PageRank
Sung Nok Chiu1123.37
Kwong Ip Liu292.15