Lognormal Distributions and Geometric Averages of Symmetric Positive Definite Matrices (Q6086481)

scientific article; zbMATH DE number 7763534

Language	Label	Description	Also known as
English	Lognormal Distributions and Geometric Averages of Symmetric Positive Definite Matrices	scientific article; zbMATH DE number 7763534

Statements

instance of

scholarly article

0 references

title

Lognormal Distributions and Geometric Averages of Symmetric Positive Definite Matrices (English)

0 references

author

Armin Schwartzman

0 references

published in

International Statistical Review

0 references

publication date

10 November 2023

0 references

full work available at URL

https://arxiv.org/abs/1407.6383

0 references

https://europepmc.org/articles/pmc5222531

0 references

zbMATH Keywords

random matrices

0 references

symmetric matrices

0 references

Riemannian manifolds

0 references

intrinsic means

0 references

manifold-valued data

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Q4420195

0 references

Geometric Means in a Novel Vector Space Structure on Symmetric Positive‐Definite Matrices

0 references

Q4322338

0 references

Q3425149

0 references

Riemannian geometry and matrix geometric means

0 references

Large sample theory of intrinsic and extrinsic sample means on manifolds. I

0 references

Large sample theory of intrinsic and extrinsic sample means on manifolds. II.

0 references

Q3971533

0 references

The Matrix-Logarithmic Covariance Model

0 references

Q4003026

0 references

Non-Euclidean statistics for covariance matrices, with applications to diffusion tensor imaging

0 references

Riemannian geometry for the statistical analysis of diffusion tensor data

0 references

Q5793088

0 references

The formal power series for \(\log\,e^x e^y\)

0 references

Newton's method, zeroes of vector fields, and the Riemannian center of mass

0 references

Q4935984

0 references

Vec and vech operators for matrices, with some uses in jacobians and multivariate statistics

0 references

Q5615180

0 references

Q4226699

0 references

The Geometric Mean, Matrices, Metrics, and More

0 references

Weighted means and Karcher equations of positive operators

0 references

Statistics on the manifold of multivariate normal distributions: theory and application to diffusion tensor MRI processing

0 references

Bayesian inference for a covariance matrix

0 references

The Elimination Matrix: Some Lemmas and Applications

0 references

Q3870155

0 references

Six-dimensional orthogonal tensor representation of the rotation about an axis in three dimensions

0 references

Q4001740

0 references

A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices

0 references

The Riemannian geometry of the space of positive-definite matrices and its application to the regularization of positive-definite matrix-valued data

0 references

Q3219581

0 references

Numerical values of Goldberg’s coefficients in the series for 𝑙𝑜𝑔(𝑒^{𝑥}𝑒^{𝑦})

0 references

Intrinsic analysis of statistical estimation

0 references

Nonparametric two-sample tests on homogeneous Riemannian manifolds, Cholesky decompositions and diffusion tensor image analysis

0 references

A Riemannian framework for tensor computing

0 references

Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements

0 references

Group Comparison of Eigenvalues and Eigenvectors of Diffusion Tensors

0 references

Inference for eigenvalues and eigenvectors of Gaussian symmetric matrices

0 references

Q3702289

0 references

Covariance, subspace, and intrinsic Crame/spl acute/r-Rao bounds

0 references

Asymptotics of special functions and the central limit theorem on the space \({\mathcal P}_ n\) of positive \(n\times n\) matrices

0 references

Q5601205

0 references

Intrinsic Regression Models for Positive-Definite Matrices With Applications to Diffusion Tensor Imaging

0 references

Identifiers

0 references

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6086481