On some tests of the covariance matrix under general conditions
From MaRDI portal
Publication:2502129
DOI10.1007/s10463-005-0010-zzbMath1095.62071OpenAlexW2136388161MaRDI QIDQ2502129
Publication date: 12 September 2006
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10463-005-0010-z
Covariance matrixCharacteristic functionMultiple correlation coefficientCanonical correlationTest statistic
Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15) Measures of association (correlation, canonical correlation, etc.) (62H20)
Related Items
Testing hypotheses about covariance matrices in general MANOVA designs ⋮ An exact test about the covariance matrix ⋮ An exact test for a column of the covariance matrix based on a single observation ⋮ Testing equality between several populations covariance operators ⋮ Optimal rank-based tests for homogeneity of scatter ⋮ Testing the equality of several covariance matrices ⋮ Unbiased estimates for moments and cumulants in linear regression ⋮ Optimal tests for homogeneity of covariance, scale, and shape ⋮ Testing a covariance matrix: exact null distribution of its likelihood criterion ⋮ Testing for independence of large dimensional vectors
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic expansions for the distribution of quadratic forms in normal variables
- On the validity of the formal Edgeworth expansion
- An asymptotic expansion for the distribution of Hotelling's \(T^ 2\)-statistic under nonnormality
- Asymptotic expansions for the distributions of multivariate basic statistics and one-way MANOVA tests under non-normality
- Asymptotic expansion of the null distribution of the modified normal likelihood ratio criterion for testing \(\Sigma=\Sigma_0\) under nonnormality
- An asymptotic expansion of the distribution of Rao's \(U\)-statistic under a general condition
- Testing independence of several groups of variables
- ON THE DISTRIBUTION OF SPHERICITY TEST CRITERION IN THE MULTIVARIATE GAUSSIAN DISTRIBUTION
- Distribution of likelihood ratio statistic for testing equality of covariance matrices of multivariate Gaussian models
- TESTS OF SIGNIFICANCE IN CANONICAL ANALYSIS
- Asymptotic expansion of the nonnull distribution of likelihood ratio statistic for testing multisample sphericity
- Asymptotic distributions in canonical correlation analysis and other multivariate procedures for nonnormal populations
- Asymptotic Distributions of the Determinants of Some Random Matrices
- A Differential Equation Approach to Linear Combinations of Independent Chi-Squares
- Distribution of a Sum of Weighted Chi-Square Variables
- IMPROVING THE NUMERICAL TECHNIQUE FOR COMPUTING THE ACCUMULATED DISTRIBUTION OF A QUADRATIC FORM IN NORMAL VARIABLES
- A Skew Extension of the T-Distribution, with Applications
- An Asymptotic Expansion of the Distribution of Hotelling'sT2-Statistic Under General Distributions
- Miscellanea. Saddlepoint approximations for distributions of quadratic forms in normal variables
- Measures of multivariate skewness and kurtosis with applications
- Locally Best Invariant Test for Sphericity and the Limiting Distributions
- A Gaussian Approximation to the Distribution of a Definite Quadratic Fo
- Linear Statistical Inference and its Applications
- The bootstrap and Edgeworth expansion