Alternate Samplingmethods for Estimating Multivariate Normal Probabilities

Zsolt Sándor and P. András

No EI 2003-05, Econometric Institute Research Papers from Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute

Abstract: We study the performance of alternative sampling methods for estimating multivariate normal probabilities through the GHK simulator. The sampling methods are randomized versions of some quasi-Monte Carlo samples (Halton, Niederreiter, Niederreiter-Xing sequences and lattice points) and some samples based on orthogonal arrays (Latin hypercube, orthogonal array and orthogonal array based Latin hypercube samples). In general, these samples turn out to have a better performance than Monte Carlo and antithetic Monte Carlo samples. Improvements over these are large for low-dimensional (4 and 10) cases and still significant for dimensions as large as 50.

Keywords: (t; m; s)-net; Quasi-Monte Carlo; lattice points; multinomial probit; simulation (search for similar items in EconPapers)
JEL-codes: C15 C35 (search for similar items in EconPapers)
Date: 2003-02-17
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