On the Distributions of some Test Statistics for Profile Analysis in Elliptical Populations
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Publication:3598662
DOI10.1080/01966324.2006.10737659zbMath1154.62344OpenAlexW1992050126WikidataQ58117011 ScholiaQ58117011MaRDI QIDQ3598662
Naoya Okamoto, Takashi Seo, Naruhito Miura
Publication date: 3 February 2009
Published in: American Journal of Mathematical and Management Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01966324.2006.10737659
Multivariate distribution of statistics (62H10) Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15) Monte Carlo methods (65C05)
Related Items (5)
Analyzing Mean Profiles of Nonnormal Populations ⋮ Tests for the parallelism and flatness hypotheses of multi-group profile analysis for high-dimensional elliptical populations ⋮ Profile analysis in high dimensions ⋮ High-dimensional multivariate repeated measures analysis with unequal covariance matrices ⋮ Tests for parallelism and flatness hypotheses of two mean vectors in high-dimensional settings
Cites Work
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- On the distributions of the Hotelling's \(T^ 2\)-statistics
- Asymptotic null and nonnull distribution of Hotelling's \(T^ 2\)-statistic under the elliptical distribution
- An asymptotic expansion for the distribution of Hotelling's \(T^ 2\)-statistic under nonnormality
- An application of Lévy's inversion formula for higher order asymptotic expansion
- Asymptotic expansions for the distributions of multivariate basic statistics and one-way MANOVA tests under non-normality
- Mersenne twister
- Multivariate T-Distributions and Their Applications
- An Asymptotic Expansion of the Non-Null Distribution of Hotelling's Generalized $T_0^2$-Statistic
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