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On the distribution of Hotelling's one-sample T2 under moderate non-normality

Published online by Cambridge University Press:  14 July 2016

A. W. Davis
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Abstract

The asymptotic distribution of Hotelling's one-sample T2 in multivariate Edgeworth populations is expanded to terms of the first order. Comparison with published simulation results indicates that the result is quite useful, even in cases where the underlying population is not well represented by an Edgeworth expansion.

Keywords

MULTIVARIATE DISTRIBUTION THEORYHOTELLING'S GENERALIZED T2MARDIA'S MEASURES OF NON-NORMALITYMULTIVARIATE EDGEWORTH EXPANSIONDOUBLY NON-CENTRAL DISTRIBUTION
Type
Part 5 — Statistical Theory
Information
Journal of Applied Probability , Volume 19 , Issue A , 1982 , pp. 207 - 216
Copyright
Copyright © 1982 Applied Probability Trust 

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