Advanced input modeling: properties of the NORTA method in higher dimensions

  • Authors:
  • Soumyadip Ghosh;Shane G. Henderson

  • Affiliations:
  • Cornell University, Ithaca, NY;Cornell University, Ithaca, NY

  • Venue:
  • Proceedings of the 34th conference on Winter simulation: exploring new frontiers
  • Year:
  • 2002

Quantified Score

Hi-index 0.00

Visualization

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.