Distributions of Lawley-Hotelling'sT02and Related Statistics: A Review
DOI10.1080/01966324.1989.10737251zbMath0718.62097OpenAlexW1967298898WikidataQ58190879 ScholiaQ58190879MaRDI QIDQ5750164
Publication date: 1989
Published in: American Journal of Mathematical and Management Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01966324.1989.10737251
tablessystems of partial differential equationsasymptotic expansionsgeneralized hypergeometric functionszonal polynomialsgeneralized Laguerre polynomialsexact distributionsreview articlepercentage pointsnoncentralityPillai's traceLawley-Hotelling's statisticMANOVA test statistic
Multivariate distribution of statistics (62H10) Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15)
Related Items (3)
Cites Work
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- Inverting an Edgeworth expansion
- Bessel functions of matrix argument
- On the distributions of the Hotelling's \(T^ 2\)-statistics
- Note on the utilization of the generalized student ratio in the analysis of variance or dispersion
- The extreme value of the generalized distances of the individual points in the multivariate normal sample
- Notes on multivariate confidence bounds
- Zonal polynomials of the real positive definite symmetric matrices
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- On the exact distribution of Hotelling's generalized \(T_ 0^ 2\)
- Further applications of a differential equation for Hotelling's generalized \(\mathbb{T}^2_\circ\)
- On the moments of elementary symmetric functions of the roots of two matrices
- Asymptotic formulae for the distributions of some criteria for tests of equality of covariance matrices
- Asymptotic Formulae for the Distribution of Hotelling's Generalized $T^2_0$ Statistic
- Asymptotic Approximations to Distributions
- Further tabulation of Hotelling's generalized
- The Generalization of Student's Ratio
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- The Distribution of Hotelling's Generalised $T_0^2$
- Generalized Asymptotic Expansions of Cornish-Fisher Type
- The Distribution of the Latent Roots of the Covariance Matrix
- Asymptotic Distributions of Some Multivariate Tests
- The Classification Statistic $W^\ast$ in Covariate Discriminant Analysis
- Systems of Partial Differential Equations for Hypergeometric Functions of Matrix Argument
- Distribution of the Canonical Correlations and Asymptotic Expansions for Distributions of Certain Independence Test Statistics
- Percentile approximations for a class of likelihood ratio criteria
- Asymptotic Formulae for the Distribution of Hotelling's Generalized $T_0^2$ Statistic. II
- An Asymptotic Expansion of the Non-Null Distribution of Hotelling's Generalized $T_0^2$-Statistic
- A System of Linear Differential Equations for the Distribution of Hotelling's Generalized $T_o^2$
- An Asymptotic Expansion for the Distribution of the Linear Discriminant Function
- Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
- Some Non-Central Distribution Problems in Multivariate Analysis
- The Transformation of Statistics to Simplify their Distribution
- Notes on Hotelling's Generalized $T$
- Distribution of the Sum of Roots of a Determinantal Equation under a Certain Condition
- On a Heuristic Method of Test Construction and its use in Multivariate Analysis
- Simultaneous Confidence Interval Estimation
- Some New Test Criteria in Multivariate Analysis
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