This paper provides omnibus tests for multivariate normality of both observations and residuals. They are derived by considering as the alternatives to the multivariate normal a class of maximum-entropy distributions studied elsewhere by the author. The tests, being Lagrange multiplier statistics, have optimum local asymptotic power among those alternatives. Furthermore, they coincide in the univariate case with the popular Jarque-Bera test for normality. They also include as special cases several multivariate tests available in the literature. Finally, the paper also suggests simple adjustments that can significantly improve the power of the tests in the case of small and medium size samples, even for the univariate case.
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Paper provided by Tecnológico de Monterrey, Campus Ciudad de México in its series EGAP Working Papers with number
200304.
Length: Date of creation: Dec 1996 Date of revision: Publication status: Published in Advances in Econometrics, 1997, vol. 12, pp. 341-358. Handle: RePEc:ega:docume:200304
Find related papers by JEL classification: C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
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