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Volumn 72, Issue 1-2, 1996, Pages 85-134

Simulation of multivariate normal rectangle probabilities and their derivatives theoretical and computational results

Author keywords

Acceptance rejection; Discrete choice models; Gibbs resampling; Importance sampling; Monte Carlo integration; Multinomial probit models; Simulation estimation

Indexed keywords


EID: 30244576252     PISSN: 03044076     EISSN: None     Source Type: Journal    
DOI: 10.1016/0304-4076(94)01716-6     Document Type: Article
Times cited : (272)

References (35)
  • 2
    • 0000259264 scopus 로고
    • Smooth unbiased multivariate probability simulators for maximum likelihood estimation of limited dependent variable models
    • Börsch-Supan, A. and V. Hajivassiliou, 1993, Smooth unbiased multivariate probability simulators for maximum likelihood estimation of limited dependent variable models. Journal of Econometrics, 58, 347-368.
    • (1993) Journal of Econometrics , vol.58 , pp. 347-368
    • Börsch-Supan, A.1    Hajivassiliou, V.2
  • 3
    • 0001310038 scopus 로고
    • The greatest of a finite set of random variables
    • Clark, C., 1961, The greatest of a finite set of random variables. Operations Research 9, 145-162.
    • (1961) Operations Research , vol.9 , pp. 145-162
    • Clark, C.1
  • 6
    • 0000861179 scopus 로고
    • Three digit accurate multiple normal probabilities
    • Deák, I., 1980a, Three digit accurate multiple normal probabilities. Numerische Mathematik 35, 369-380.
    • (1980) Numerische Mathematik , vol.35 , pp. 369-380
    • Deák, I.1
  • 7
    • 30244524908 scopus 로고
    • Fast procedures for generating stationary normal vectors
    • Deák, I., 1980b, Fast procedures for generating stationary normal vectors, Journal of Statistical Computation and Simulation 10, 225-242.
    • (1980) Journal of Statistical Computation and Simulation , vol.10 , pp. 225-242
    • Deák, I.1
  • 9
    • 0015741437 scopus 로고
    • A representation of multivariate normal probability integrals by integral transforms
    • Dutt, J., 1973, A representation of multivariate normal probability integrals by integral transforms, Biometrika 60, 637-645.
    • (1973) Biometrika , vol.60 , pp. 637-645
    • Dutt, J.1
  • 10
    • 30244558459 scopus 로고
    • Numerical aspects of multivariate normal probabilities in econometric models
    • Dutt, J., 1976, Numerical aspects of multivariate normal probabilities in econometric models, Annals of Economic and Social Measurement 5, 547-562.
    • (1976) Annals of Economic and Social Measurement , vol.5 , pp. 547-562
    • Dutt, J.1
  • 14
    • 0344794999 scopus 로고
    • Simulation estimation methods for limited dependent variable models
    • G.S. Maddala, C.R. Rao, and H.D. Vinod, eds., Econometrics (North-Holland, Amsterdam)
    • Hajivassiliou, V., 1993a, Simulation estimation methods for limited dependent variable models, in: G.S. Maddala, C.R. Rao, and H.D. Vinod, eds., Handbook of statistics, Vol. 11 (Econometrics) (North-Holland, Amsterdam).
    • (1993) Handbook of Statistics , vol.11
    • Hajivassiliou, V.1
  • 15
    • 84973818371 scopus 로고
    • Simulators for multivariate normal rectangle probabilities and their derivatives: The effects of vectorization
    • Hajivassiliou, V., 1993b, Simulators for multivariate normal rectangle probabilities and their derivatives: The effects of vectorization, International Journal of Supercomputer Applications. Fall, 231-253.
    • (1993) International Journal of Supercomputer Applications , vol.FALL , pp. 231-253
    • Hajivassiliou, V.1
  • 18
    • 0020168221 scopus 로고
    • An investigation of the accuracy of the Clark approximation for the multinomial probit model
    • Horowitz, J., J. Sparmonn, and C. Daganzo, 1981, An investigation of the accuracy of the Clark approximation for the multinomial probit model. Transportation Science 16, 382-401.
    • (1981) Transportation Science , vol.16 , pp. 382-401
    • Horowitz, J.1    Sparmonn, J.2    Daganzo, C.3
  • 19
    • 0002621109 scopus 로고
    • A computationally efficient practical simulation estimator for panel data, with applications to estimating temporal dependence in employment and wages
    • Keane, M., 1994, A computationally efficient practical simulation estimator for panel data, with applications to estimating temporal dependence in employment and wages, Economctrica 62, 95-116.
    • (1994) Economctrica , vol.62 , pp. 95-116
    • Keane, M.1
  • 20
    • 0001353597 scopus 로고
    • On the use of simulated frequencies to approximate choice probabilities
    • C. Manski and D. McFadden. ed., (MIT Press, Cambridge, MA)
    • Lerman, S. and C. Manski, 1981, On the use of simulated frequencies to approximate choice probabilities, in: C. Manski and D. McFadden. ed., Structural analysis of discrete data with econometric applications (MIT Press, Cambridge, MA) 305-319.
    • (1981) Structural Analysis of Discrete Data with Econometric Applications , pp. 305-319
    • Lerman, S.1    Manski, C.2
  • 21
    • 70350120299 scopus 로고
    • Econometric analysis of qualitative response models
    • Z. Griliches and M. Intriligator, ed., North-Holland, Amsterdam
    • McFadden, D., 1984, Econometric analysis of qualitative response models, in: Z. Griliches and M. Intriligator, ed., Handbook of econometrics. Vol. 2 (North-Holland, Amsterdam) 1395-1457.
    • (1984) Handbook of Econometrics , vol.2 , pp. 1395-1457
    • McFadden, D.1
  • 22
    • 0000883977 scopus 로고
    • A method of simulated moments for estimation of discrete response models without numerical integration
    • McFadden, D., 1989, A method of simulated moments for estimation of discrete response models without numerical integration, Econometrica 57, 995-1026.
    • (1989) Econometrica , vol.57 , pp. 995-1026
    • McFadden, D.1
  • 24
    • 84985560895 scopus 로고
    • The Monte Carlo evaluation of orthant probabilities for multivariate normal distributions
    • Moran, P., 1984, The Monte Carlo evaluation of orthant probabilities for multivariate normal distributions, Australian Journal of Statistics 26, 39-44.
    • (1984) Australian Journal of Statistics , vol.26 , pp. 39-44
    • Moran, P.1
  • 25
    • 0000023163 scopus 로고
    • Tables for computing bivariate normal probabilities
    • Owen, D., 1956, Tables for computing bivariate normal probabilities, Annals of Mathematical Statistics 27, 1075-1090.
    • (1956) Annals of Mathematical Statistics , vol.27 , pp. 1075-1090
    • Owen, D.1
  • 26
    • 0001331135 scopus 로고
    • Simulation and the asymptotics of optimization estimators
    • Pakes, A. and D. Pollard, 1989, Simulation and the asymptotics of optimization estimators, Econometrica 57, 1027-1057.
    • (1989) Econometrica , vol.57 , pp. 1027-1057
    • Pakes, A.1    Pollard, D.2
  • 27
    • 30244564455 scopus 로고
    • Computational problems in econometrics
    • Z. Griliches and M. Intriligator, eds., (North-Holland, Amsterdam)
    • Quandt, R., 1984, Computational problems in econometrics, in: Z. Griliches and M. Intriligator, eds., Handbook of econometrics. Vol. 1 (North-Holland, Amsterdam) 1395-1457.
    • (1984) Handbook of Econometrics , vol.1 , pp. 1395-1457
    • Quandt, R.1
  • 30
    • 0000672899 scopus 로고
    • Extensions of estimation methods using the EM algorithm
    • Ruud, P., 1991, Extensions of estimation methods using the EM algorithm, Journal of Econometrics 49, 305-341.
    • (1991) Journal of Econometrics , vol.49 , pp. 305-341
    • Ruud, P.1
  • 33
    • 0000119331 scopus 로고
    • A method for smoothing simulated moments of discrete probabilities in multinomial probit models
    • Stern, S., 1992, A method for smoothing simulated moments of discrete probabilities in multinomial probit models, Econometrica 60, 943-952.
    • (1992) Econometrica , vol.60 , pp. 943-952
    • Stern, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.