Simulation of the matrix Bingham-von Mises-Fisher distribution, with applications to multivariate and relational data

方向数据和轴向数据的非参数平滑

Nonparametric Smoothing of Directional and Axial Data

本文讨论方向数据的广义线性模型，通过欧几里得参数化 von Mises-Fisher 分布并结合局部多项式回归实现非参数平滑，最后用模拟数据与行星科学数据验证了方法。

Bayesian analysis of matrix data with rstiefel

We illustrate the use of the R-package "rstiefel" for matrix-variate data analysis in the context of two examples. The first example considers estimation of a reduced-rank mean matrix in the presence of normally distributed noise. The second example considers the modeling of a social network of friendships among teenagers. Bayesian estimation for these models requires the ability to simulate from the matrix-variate von Mises-Fisher distributions and the matrix-variate Bingham distributions on the Stiefel manifold.