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THE MONTE CARLO EVALUATION OF ORTHANT PROBABILITIES FOR MULTIVARIATE NORMAL DISTRIBUTIONS
Authors:P. A. P. Moran
Affiliation:Australian National University, Canberra
Abstract:
The calculation of multivariate normal orthant probabilities is practically impossible when the number of variates is greater than five or six, except in very special cases. A transformation of the integral is obtained which enables quite accurate Monte Carlo estimates to be obtained for a fairly high number of dimensions, particularly if control variates are used.
Keywords:Monte Carlo methods    Orthant probabilities    Control variates
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