Journal of the Japan Statistical Society, Japanese Issue
Online ISSN : 2189-1478
Print ISSN : 0389-5602
ISSN-L : 0389-5602
ASYMPTOTIC DISTRIBUTIONS OF THE SAMPLE ROOTS IN MANOVA MODELS UNDER NONNORMALITY
Takashi SeoTakashi KandaYasunori Fujikoshi
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1994 Volume 24 Issue 2 Pages 133-140

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Abstract

In this paper, we consider the effects of nonnormality on the distributions of the sample roots in MANOVA models. Asymptotic properties of the distributions of the sample roots are presented under nonnormality. We also discuss the distributions of sample roots under the class of elliptical populations. Asymptotic expansion formulas for the distributions are derived by a perturbation method. Finally, simulation results are presented.

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