Sampling From A Manifold
Statistics Theory
2012-07-06 v2 Statistics Theory
Abstract
We develop algorithms for sampling from a probability distribution on a submanifold embedded in Rn. Applications are given to the evaluation of algorithms in 'Topological Statistics'; to goodness of fit tests in exponential families and to Neyman's smooth test. This article is partially expository, giving an introduction to the tools of geometric measure theory.
Cite
@article{arxiv.1206.6913,
title = {Sampling From A Manifold},
author = {Persi Diaconis and Susan Holmes and Mehrdad Shahshahani},
journal= {arXiv preprint arXiv:1206.6913},
year = {2012}
}