Robustness of lognormal confidence regions for means of symmetric positive definite matrices when applied to mixtures of lognormal distributions

DOI10.1007/s40300-022-00234-zOpenAlexW4281568837WikidataQ114219402 ScholiaQ114219402MaRDI QIDQ2098284

Daniel E. Osborne, Leif Ellingson, Benoit Ahanda

Publication date: 17 November 2022

Published in: Metron (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40300-022-00234-z

zbMATH Keywords

robustnessconfidence regionlognormal distributionstatistics on manifoldssymmetric positive-definite matrices

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

• Nonparametric two-sample tests on homogeneous Riemannian manifolds, Cholesky decompositions and diffusion tensor image analysis
• Non-Euclidean statistics for covariance matrices, with applications to diffusion tensor imaging
• Mean location and sample mean location on manifolds: Asymptotics, tests, confidence regions
• Large sample theory of intrinsic and extrinsic sample means on manifolds. I
• Large sample theory of intrinsic and extrinsic sample means on manifolds. II.
• ON THE CONSTRUCTION OF SIGNIFICANCE TESTS ON THE CIRCLE AND THE SPHERE
• Nonparametric bootstrap of sample means of positive-definite matrices with an application to diffusion-tensor-imaging data analysis
• Lognormal Distributions and Geometric Averages of Symmetric Positive Definite Matrices

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