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Asymptotic expansions forL- andR-statistics under alternatives

✍ Scribed by V. E. Bening

Publisher: Springer US
Year: 1995
Tongue: English
Weight: 661 KB
Volume: 76
Category: Article
ISSN: 1573-8795
DOI: 10.1007/bf02363223

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introduced a class of multinomial goodness-of-fit statistics R a based on power divergence. All R a have the same chi-square limiting distribution under null hypothesis and have the same noncentral chi-square limiting distribution under local alternatives. In this paper, we investigate asymptotic ap

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In this paper we obtain an asymptotic expansion for the distribution of Hotelling's T 2 -statistic T 2 under nonnormality when the sample size is large. In the derivation we find an explicit Edgeworth expansion of the multivariate t-statistic. Our method is to use the Edgeworth expansion and to expa