Properties of the NORTA method in higher dimensions. Ghosh, S. & Henderson, S. In Yücesan, E., Chen, C., Snowdon, J., & Charnes, J., editors, Proceedings of the 2002 Winter Simulation Conference, pages 263–269, Piscataway NJ, 2002. IEEE.
Paper abstract bibtex The NORTA method for multivariate generation is a fast general purpose method for generating samples of a random vector with given marginal distributions and given product-moment or rank correlation matrix. However, this method has been shown to fail to work for some feasible correlation matrices. (A matrix is feasible if there exists a random vector with the given marginal distributions and the matrix as the correlation matrix.) We investigate how this feasibility problem behaves as the dimension of the random vector is increased and find the problem to become acute rapidly. We also find that a modified NORTA procedure, augmented by a semidefinite program (SDP) that aims to generate a correlation matrix close to the desired one, performs well with increasing dimension.
@inproceedings{ghohen02wsc,
abstract = {The NORTA method for multivariate generation is a fast general purpose method for generating samples of a random vector with given marginal distributions and given product-moment or rank correlation matrix. However, this method has been shown to fail to work for some feasible correlation matrices. (A matrix is feasible if there exists a random vector with the given marginal distributions and the matrix as the correlation matrix.) We investigate how this feasibility problem behaves as the dimension of the random vector is increased and find the problem to become acute rapidly. We also find that a modified NORTA procedure, augmented by a semidefinite program (SDP) that aims to generate a correlation matrix close to the desired one, performs well with increasing dimension.},
address = {Piscataway NJ},
author = {Ghosh, S. and Henderson, S.~G.},
booktitle = {Proceedings of the 2002 Winter Simulation Conference},
date-added = {2016-01-10 16:07:54 +0000},
date-modified = {2016-01-10 16:07:54 +0000},
editor = {Y{\"{u}}cesan,E. and Chen,C.~H. and Snowdon,J.~L. and Charnes, J.~M.},
pages = {263--269},
publisher = {IEEE},
title = {Properties of the {NORTA} method in higher dimensions},
url_paper = {pubs/NORTAProperties.pdf},
year = 2002}
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