On the moments of elementary symmetric functions of the roots of two matrices

DOI10.1007/BF02532258zbMath0223.62063MaRDI QIDQ2548141

Gary M. Jouris, K. C. S. Pillai

Publication date: 1969

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

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10)

Related Items (9)

Moments and distributions of certain multivariate test criteria in the canonical correlation case under violation ⋮ Polynomial traces and elementary symmetric functions in the latent roots of a non-central Wishart matrix ⋮ Differential operators associated with zonal polynomials. I ⋮ Distributions of Lawley-Hotelling'sT₀²and Related Statistics: A Review ⋮ Distributions of characteristic roots in multivariate analysis Part II. Non-Null Distribution ⋮ An identity involving partitional generalized binomial coefficients ⋮ On the calculation of generalized binomial coefficients ⋮ The distributions of some statistics associated with two multivariate hypotheses under violations in the complex case ⋮ On the expansion of \(C^*_{\rho}(V+I)\) as a sum of zonal polynomials

Cites Work

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• The Non-Central Multivariate Beta Distribution
• Distribution of the `Generalised' Multiple Correlation Matrix in the Dual Case
• On the Moments of Elementary Symmetric Functions of the Roots of Two Matrices
• Some Results on the Non-Central Multivariate Beta Distribution and Moments of Traces of Two Matrices
• Classical Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution
• The Distribution of Hotelling's Generalised $T_0^2$
• On elementary symmetric functions of the roots of two matrices in multivariate analysis
• Some Contributions to Anova in One or More Dimensions: I
• On the Non-central Distribution of the Second Elementary Symmetric Function of the Roots of a Matrix
• On the Moments of Elementary Symmetric Functions of the Roots of Two Matrices and Approximations to a Distribution
• Some Distribution Problems Connected with the Characteristic Roots of $S_1S^{-1}_2$
• The Distribution of Noncentral Means with Known Covariance
• On the Moment Generating Function of Pillai's $V^{(s)}$ Criterion
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
• Some Extensions of the Wishart Distribution
• The Non-Central Wishart Distribution and Certain Problems of Multivariate Statistics

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