Sampling From A Manifold ∗

  title={Sampling From A Manifold ∗},
  author={Persi Diaconis and Susan P. Holmes and Mehrdad Shahshahani},
A variety of inferential tasks require drawing samples from a probability distribution on a manifold. This occurs in sampling from the posterior distribution on constrained parameter spaces (eg covariance matrices), in testing goodness of fit for exponential families conditional on sufficient statistics (eg the sum and product of the observations in a Gamma family), and in generating data to test algorithms in tolopogical statistics. In our applications, we found that examples involved domains… CONTINUE READING
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