On the information matrix for symmetric distributions on the hypersphere

DOI10.1214/aos/1176346724zbMath0545.62035OpenAlexW2080847705MaRDI QIDQ797243

Louis-Paul Rivest

Publication date: 1984

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176346724

zbMATH Keywords

information matrixmaximum likelihood estimationvon Mises distributionBingham distributionFisher distributionblock-diagonaldirectional modelgeneral definition of symmetrygroup of orthogonal transformationssymmetric distributions on the hypersphere

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic distribution theory in statistics (62E20) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Foundations and philosophical topics in statistics (62A01)

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