Modeling and Inference for Measured Crystal Orientations and a Tractable Class of Symmetric Distributions for Rotations in Three Dimensions

DOI10.1198/jasa.2009.ap08741zbMath1205.62215OpenAlexW2046672402MaRDI QIDQ3069874

Daniel J. Nordman, Stephen B. Vardeman, Melissa A. Bingham

Publication date: 1 February 2011

Published in: Journal of the American Statistical Association (Search for Journal in Brave)

Full work available at URL: https://lib.dr.iastate.edu/imse_pubs/146

zbMATH Keywords

Wald testvon Mises distributionHaar measuredirectional dataelectron backscatter diffractionorthogonal matrixEuler anglequasi-likelihood ratio testuniform axis-random spin distribution

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Applications of statistics to physics (62P35)

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Quantifying spread in three-dimensional rotation data: comparison of nonparametric and parametric techniques ⋮ One-sample Bayes inference for symmetric distributions of 3-D rotations ⋮ A permutation test for comparing rotational symmetry in three-dimensional rotation data sets ⋮ Bayes inference for a tractable new class of non-symmetric distributions for 3-dimensional rotations ⋮ Statistics of ambiguous rotations ⋮ Finite-sample investigation of likelihood and Bayes inference for the symmetric von Mises-Fisher distribution ⋮ Nonparametric confidence regions for the central orientation of random rotations ⋮ Nonparametric Bayes Models of Fiber Curves Connecting Brain Regions

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