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http://dx.doi.org/10.5351/CKSS.2002.9.1.187

The Limit Distribution and Power of a Test for Bivariate Normality  

Kim, Namhyun (Department of Science, Hongik University)
Publication Information
Communications for Statistical Applications and Methods / v.9, no.1, 2002 , pp. 187-196 More about this Journal
Abstract
Testing for normality has always been a center of practical and theoretical interest in statistical research. In this paper a test statistic for bivariate normality is proposed. The underlying idea is to investigate all the possible linear combinations that reduce to the standard normal distribution under the null hypothesis and compare the order statistics of them with the theoretical normal quantiles. The suggested statistic is invariant with respect to nonsingular matrix multiplication and vector addition. We show that the limit distribution of an approximation to the suggested statistic is represented as the supremum over an index set of the integral of a suitable Gaussian Process. We also simulate the null distribution of the statistic and give some critical values of the distribution and power results.
Keywords
Bivariate normality; Gaussian process; goodness of fit tests; quantize processes;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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