Statistical inference of Langevin distribution for directional data

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zbMath0846.62042MaRDI QIDQ1917216

Yoko Watamori

Publication date: 4 September 1996

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

embedding expectations rotational symmetry asymptotic expansions central limit theorem maximum likelihood estimators concentration parameter Langevin distribution mean square errors marginal maximum likelihood estimator wrapping comparison of estimators higher order asymptotic unbiasedness mean directions multi-sample tests

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Asymptotic properties of parametric estimators (62F12) Estimation in multivariate analysis (62H12) Hypothesis testing in multivariate analysis (62H15)

Related Items (4)

High-order parameter approximation for von Mises-Fisher distributions ⋮ Inference for spherical location under high concentration ⋮ A unified approach to decision-theoretic properties of the MLEs for the mean directions of several Langevin distributions ⋮ Efficient von Mises–Fisher concentration parameter estimation using Taylor series

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