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Alternate Samplingmethods for Estimating Multivariate Normal Probabilities

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  • Sándor, Z.
  • András, P.

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.

Suggested Citation

  • Sándor, Z. & András, P., 2003. "Alternate Samplingmethods for Estimating Multivariate Normal Probabilities," Econometric Institute Research Papers EI 2003-05, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:1690
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    References listed on IDEAS

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    More about this item

    Keywords

    (t; m; s)-net; Quasi-Monte Carlo; lattice points; multinomial probit; simulation;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions

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