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Simulation of Multivariate Normal Rectangle Probabilities: Theoretical and Computational Results

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An extensive literature in econometrics and in numerical analysis has considered the problem of evaluating the multiple integral P({bold B};mu,Omega) = integral_{a}^{b} n(v - mu, Omega)dv = E_{V}{bold 1}(V in {bold B}), where V is a m-dimensional normal vector with mean mu, covariance matrix , and density n(v - mu Omega)and 1(V in {bold B}) is an indicator for the event B = {V | a

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  • Vassilis A. Hajivassiliou & Daniel McFadden & Paul A. Ruud, 1994. "Simulation of Multivariate Normal Rectangle Probabilities: Theoretical and Computational Results," Cowles Foundation Discussion Papers 1021R, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:1021r
    Note: CFP 924.
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    1. Borsch-Supan, Axel & Hajivassiliou, Vassilis A., 1993. "Smooth unbiased multivariate probability simulators for maximum likelihood estimation of limited dependent variable models," Journal of Econometrics, Elsevier, vol. 58(3), pages 347-368, August.
    2. McFadden, Daniel & Ruud, Paul A, 1994. "Estimation by Simulation," The Review of Economics and Statistics, MIT Press, vol. 76(4), pages 591-608, November.
    3. Ruud, Paul A., 1991. "Extensions of estimation methods using the EM algorithm," Journal of Econometrics, Elsevier, vol. 49(3), pages 305-341, September.
    4. Keane, Michael P, 1994. "A Computationally Practical Simulation Estimator for Panel Data," Econometrica, Econometric Society, vol. 62(1), pages 95-116, January.
    5. McFadden, Daniel L., 1984. "Econometric analysis of qualitative response models," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 24, pages 1395-1457, Elsevier.
    6. Vassilis A. Hajivassiliou, 1991. "Simulation Estimation Methods for Limited Dependent Variable Models," Cowles Foundation Discussion Papers 1007, Cowles Foundation for Research in Economics, Yale University.
    7. J. E. Dutt, 1976. "Numerical Aspects of Multivariate Normal Probabilities in Econometric Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 547-561, National Bureau of Economic Research, Inc.
    8. McFadden, Daniel, 1989. "A Method of Simulated Moments for Estimation of Discrete Response Models without Numerical Integration," Econometrica, Econometric Society, vol. 57(5), pages 995-1026, September.
    9. Stern, Steven, 1992. "A Method for Smoothing Simulated Moments of Discrete Probabilities in Multinomial Probit Models," Econometrica, Econometric Society, vol. 60(4), pages 943-952, July.
    10. Vassilis A. Hajivassiliou & Daniel L. McFadden, 1998. "The Method of Simulated Scores for the Estimation of LDV Models," Econometrica, Econometric Society, vol. 66(4), pages 863-896, July.
    11. Charles E. Clark, 1961. "The Greatest of a Finite Set of Random Variables," Operations Research, INFORMS, vol. 9(2), pages 145-162, April.
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    1. Bearse, Peter & Gurmu, Shiferaw & Rapaport, Carol & Stern, Steven, 2004. "Paratransit demand of disabled people," Transportation Research Part B: Methodological, Elsevier, vol. 38(9), pages 809-831, November.
    2. Tobias Müller & Stefan Boes, 2020. "Disability insurance benefits and labor supply decisions: evidence from a discontinuity in benefit awards," Empirical Economics, Springer, vol. 58(5), pages 2513-2544, May.
    3. Hajivassiliou, V A, 1994. "A Simulation Estimation Analysis of the External Debt Crises of Developing Countries," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 9(2), pages 109-131, April-Jun.
    4. Joseph C. Cooper, 2003. "A Joint Framework for Analysis of Agri-Environmental Payment Programs," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(4), pages 976-987.
    5. David Ribar, 1996. "The effects of teenage fertility on young adult childbearing," Journal of Population Economics, Springer;European Society for Population Economics, vol. 9(2), pages 197-218, June.
    6. Müller, Tobias & Boes, Stefan, 2016. "Disability Insurance Benefits and Labor Supply Choices: Evidence from a Discontinuity in Benefit Awards," MPRA Paper 70957, University Library of Munich, Germany.

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