On the moments of elementary symmetric functions of the roots of two matrices
From MaRDI portal
Publication:2548141
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)
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
- Unnamed Item
- Unnamed Item
- 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
This page was built for publication: On the moments of elementary symmetric functions of the roots of two matrices