Multivariate normal cumulative distribution

state-of-the-art algorithm for computing the multivariate normal cdf in high dimensions

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Computes the probability Pr(l<X<u), where 'X' is a zero-mean multivariate normal vector with covariance 'Sig'.
In high dimensions, this algorithm is vastly superior to the one in Matlab's statistics toolbox, see example.
Reference: Z. I. Botev (2015), "The Normal Law Under Linear Restrictions: Simulation and Estimation via Minimax Tilting", submitted to JRSS(B)

Citation pour cette source

Zdravko Botev (2026). Multivariate normal cumulative distribution (https://fr.mathworks.com/matlabcentral/fileexchange/53583-multivariate-normal-cumulative-distribution), MATLAB Central File Exchange. Extrait(e) le .

Informations générales

Compatibilité avec les versions de MATLAB

  • Compatible avec toutes les versions

Plateformes compatibles

  • Windows
  • macOS
  • Linux
Version Publié le Notes de version Action
1.1.0.0

faster implementation of Cholesky's decomposition in cholperm.m

1.0.0.0