Introduction to theoretical kinematics
Introduction to theoretical kinematics
Decision theoretic analysis of spherical regression
Journal of Multivariate Analysis
Introduction to matrix analysis (2nd ed.)
Introduction to matrix analysis (2nd ed.)
A statistical model for random rotations
Journal of Multivariate Analysis
One-sample Bayes inference for symmetric distributions of 3-D rotations
Computational Statistics & Data Analysis
| Hi-index | 0.00 |
This paper proposes a new statistical model for symmetric axial directional data in dimension p. This proposal is an alternative to the Bingham distribution and to the angular central Gaussian family. The statistical properties for this model are presented. An explicit form for its normalizing constant is given and some moments and limiting distributions are derived. The proposed density is shown to apply to the modeling of 3x3 rotation matrices by representing them as quaternions, which are unit vectors in @?^4. The moment estimators of the parameters of the new model are calculated; explicit expressions for their sampling variances are given. The analysis of data measuring the posture of the right arm of subjects performing a drilling task illustrates the application of the proposed model.