Improved likelihood ratio and score tests on concentration parameters of von Mises-Fisher distributions

DOI10.1016/j.spl.2004.10.017zbMath1123.62017OpenAlexW1996789435MaRDI QIDQ1779665

Yoko Watamori, Peter E. Jupp

Publication date: 1 June 2005

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2004.10.017

zbMATH Keywords

Bartlett correctionLangevin distributionDirectional statisticsGeneralised Bartlett correction

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (6)

Expansions for the distribution of asymptotically chi-square statistics ⋮ On some validity-robust tests for the homogeneity of concentrations on spheres ⋮ Recent advances in directional statistics ⋮ On the efficiency of some rank-based test for the homogeneity of concentrations ⋮ Classification of observations into von Mises-Fisher populations with unknown parameters ⋮ New results on the likelihood ratio and score tests for the von Mises distribution

Cites Work

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• A Unified View of the Theory of Directional Statistics, 1975-1988
• A modified score test statistic having chi-squared distribution to order n⁻¹
• An asymptotic expansion for the null distribution of the efficient score statistic
• Higher order monotone Bartlett-type adjustment for some multivariate test statistics
• Improved likelihood ratio tests on the von Mises-Fisher distribution
• Stable and invariant adjusted profile likelihood and directed likelihood for curved exponential models

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