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

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

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  • Bingham, Melissa A. & Nordman, Daniel J. & Vardeman, Stephen B., 2009. "Modeling and Inference for Measured Crystal Orientations and a Tractable Class of Symmetric Distributions for Rotations in Three Dimensions," Journal of the American Statistical Association, American Statistical Association, vol. 104(488), pages 1385-1397.
    • Handle: RePEc:bes:jnlasa:v:104:i:488:y:2009:p:1385-1397
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    Cited by:

    1. Bingham, Melissa A. & Nordman, Daniel J. & Vardeman, Stephen B., 2010. "Finite-sample investigation of likelihood and Bayes inference for the symmetric von Mises-Fisher distribution," Computational Statistics & Data Analysis, Elsevier, vol. 54(5), pages 1317-1327, May.
    2. Qiu, Yu & Nordman, Daniel J. & Vardeman, Stephen B., 2014. "One-sample Bayes inference for symmetric distributions of 3-D rotations," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 520-529.
    3. Melissa A. Bingham & Marissa L. Scray, 2017. "A permutation test for comparing rotational symmetry in three-dimensional rotation data sets," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-8, December.
    4. Arnold, R. & Jupp, P.E. & Schaeben, H., 2018. "Statistics of ambiguous rotations," Journal of Multivariate Analysis, Elsevier, vol. 165(C), pages 73-85.
    5. Stanfill, Bryan & Genschel, Ulrike & Hofmann, Heike & Nordman, Dan, 2015. "Nonparametric confidence regions for the central orientation of random rotations," Journal of Multivariate Analysis, Elsevier, vol. 135(C), pages 106-116.

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