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math.ST2015
Holonomic gradient method for the probability content of a simplex region with a multivariate normal distribution
Tamio Koyama
We use the holonomic gradient method to evaluate the probability content of a simplex region under a multivariate normal distribution. This probability equals to the integral of th…
math.ST2012★ 7 cited
Holonomic Gradient Descent for the Fisher-Bingham Distribution on the -dimensional Sphere
Tamio Koyama, Hiromasa Nakayama, Kenta Nishiyama +1
We propose an accelerated version of the holonomic gradient descent and apply it to calculating the maximum likelihood estimate (MLE) of the Fisher-Bingham distribution on a -di…