Multiple comparisons of several homoscedastic multivariate populations

DOI10.1007/s10463-007-0134-4zbMath1294.62117OpenAlexW1984397848MaRDI QIDQ734417

Publication date: 13 October 2009

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10463-007-0134-4

zbMATH Keywords

multiple comparisons Bonferroni-type inequality maximum of correlated Hotelling's \(T ^{2}\) statistics multivariate central nonsingular or singular chi-square distribution

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20)

Cites Work

The extreme value of the generalized distances of the individual points in the multivariate normal sample
Notes on multivariate confidence bounds
Expansions for the multivariate chi-square distribution
Multivariate gamma distributions with one-factorial accompanying correlation matrices and applications to the distribution of the multivariate range
Inclusion-exclusion-Bonferroni identities and inequalities for discrete tube-like problems via Euler characteristics
Abstract tubes, improved inclusion-exclusion identities and inequalities and importance sampling
Improved Bonferroni inequalities via abstract tubes. Inequalities and identities of inclusion-exclusion type
Multiple Comparisons
Multiple Comparisons of Polynomial Distributions
An improved Bonferroni inequality and applications
An upper bound for the probability of a union
Asymptotic expaxsioxs for the joint distribution of cirrelated hotellings t²statlstics under normality
The length heuristic for simultaneous hypothesis tests
THE EFFECTS OF NONNORMALITY ON THE UPPER PERCENTILES OF T<SUP>2</SUP><SUB>max</SUB> STATISTIC IN ELLIPTICAL DISTRIBUTIONS
PAIRWISE MULTIPLE COMPARISONS OF MEAN VECTORS UNDER ELLIPTICAL POPULATIONS WITH UNEQUAL SAMPLE SIZES
Interval Estimation for Linear Combinations of Means
Bounds for the Probability of a Union, with Applications
On Dependent Tests of Significance in the Analysis of Variance
A Multivariate Gamma-Type Distribution
Simultaneous Confidence Interval Estimation
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