Laplace approximations to posterior moments and marginal distributions on circles, spheres, and cylinders

DOI10.2307/3315537zbMath0719.62026OpenAlexW2079199211MaRDI QIDQ5751751

Parthasarathy Bagchi, Joseph B. Kadane

Publication date: 1991

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315537

zbMATH Keywords

hypergeometric functionsspherescirclescylindersBingham distributionLaplace approximationshypercylinders

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Bayesian inference (62F15) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (6)

A full bayesian analysis of circular data using the von mises distribution ⋮ Modified Pólya-Gamma data augmentation for Bayesian analysis of directional data ⋮ Penalized maximum likelihood estimator for mixture of von Mises-Fisher distributions ⋮ A Bayesian Analysis of Directional Data Using the von Mises–Fisher Distribution ⋮ Laplace approximations for hypergeometric functions with matrix argument ⋮ Erratum: Note of correction: “Laplace approximations to posterior moments and marginal distributions on circles, spheres, and cylinders”

Cites Work

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• Bayes procedures for rotationally symmetric models on the sphere
• Sampling-Based Approaches to Calculating Marginal Densities
• The implementation of the bayesian paradigm
• Accurate Approximations for Posterior Moments and Marginal Densities
• Bayesian inference for the von Mises-Fisher distribution
• Some Non-Central Distribution Problems in Multivariate Analysis
• Laplace's 1774 memoir on inverse probability

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