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Volumn 69, Issue 4, 2001, Pages 959-993

Likelihood inference for discretely observed nonlinear diffusions

Author keywords

Bayes estimation; Euler Maruyama approximation; Markov chain Monte Carlo; Maximum likelihood; Metropolis Hastings algorithm; Missing data; Nonlinear diffusion; Simulation; Stochastic differential equation

Indexed keywords


EID: 0000440935     PISSN: 00129682     EISSN: None     Source Type: Journal    
DOI: 10.1111/1468-0262.00226     Document Type: Article
Times cited : (308)

References (51)
  • 1
    • 0030369366 scopus 로고    scopus 로고
    • Nonparametric Pricing of Interest Rate Derivative Securities
    • AïT-SAHALIA, Y. (1996a): "Nonparametric Pricing of Interest Rate Derivative Securities," Econometrica, 64, 527-560.
    • (1996) Econometrica , vol.64 , pp. 527-560
    • Aït-Sahalia, Y.1
  • 2
    • 0242670422 scopus 로고    scopus 로고
    • Testing Continuous-time Models of the Spot Interest Rate
    • _ (1996b): "Testing Continuous-time Models of the Spot Interest Rate," Review of Financial Studies, 9, 385-426.
    • (1996) Review of Financial Studies , vol.9 , pp. 385-426
  • 3
    • 0000309098 scopus 로고    scopus 로고
    • Estimating Continuous-Time Stochastic Volatility Models of the Short-term Interest Rate
    • ANDERSEN, T. G., AND J. LUND (1997): "Estimating Continuous-Time Stochastic Volatility Models of the Short-term Interest Rate," Journal of Econometrics, 77, 343-377.
    • (1997) Journal of Econometrics , vol.77 , pp. 343-377
    • Andersen, T.G.1    Lund, J.2
  • 4
    • 0001760963 scopus 로고
    • The Law of the Euler Scheme for Stochastic Differential Equations: Error Analysis with Malliavin Calculus
    • BALLY, V., AND D. TALAY (1995): "The Law of the Euler Scheme for Stochastic Differential Equations: Error Analysis with Malliavin Calculus," Mathematics and Computers in Simulation, 38, 35-41.
    • (1995) Mathematics and Computers in Simulation , vol.38 , pp. 35-41
    • Bally, V.1    Talay, D.2
  • 9
    • 0012821417 scopus 로고    scopus 로고
    • Markov Chain Monte Carlo Methods: Computation and Inference
    • Amsterdam: North-Holland, forthcoming
    • _ (2000): "Markov Chain Monte Carlo Methods: Computation and Inference," in Handbook of Econometrics, Vol. 5, ed. by J. J. Heckman and E. Learner. Amsterdam: North-Holland, forthcoming.
    • (2000) Handbook of Econometrics , vol.5
    • Heckman, J.J.1    Learner, E.2
  • 10
    • 0001149688 scopus 로고
    • Bayes Inference in Regression Models with ARMA (p, q) Errors
    • CHIB, S., AND E. GREENBERG (1994): "Bayes Inference in Regression Models with ARMA (p, q) Errors," Journal of Econometrics, 64, 183-206.
    • (1994) Journal of Econometrics , vol.64 , pp. 183-206
    • Chib, S.1    Greenberg, E.2
  • 11
    • 32344446687 scopus 로고
    • Understanding the Metropolis-Hastings Algorithm
    • _ (1995): "Understanding the Metropolis-Hastings Algorithm," The American Statistician, 49, 327-336.
    • (1995) The American Statistician , vol.49 , pp. 327-336
  • 12
    • 0002609888 scopus 로고    scopus 로고
    • Posterior Simulation and Bayes Factors in Panel Count Data Models
    • CHIB, S., E. GREENBERG, AND R. WINKELMANN (1998): "Posterior Simulation and Bayes Factors in Panel Count Data Models," Journal of Econometrics, 86, 33-54.
    • (1998) Journal of Econometrics , vol.86 , pp. 33-54
    • Chib, S.1    Greenberg, E.2    Winkelmann, R.3
  • 15
    • 0003550543 scopus 로고    scopus 로고
    • A Note on the Existence of a Closed-form Conditional Transition Density for the Milstein Scheme
    • Nuffield College, Oxford
    • ELERIAN, O. (1998): "A Note on the Existence of a Closed-form Conditional Transition Density for the Milstein Scheme," Economics Discussion Paper 1998-W18, Nuffield College, Oxford.
    • (1998) Economics Discussion Paper 1998-W18
    • Elerian, O.1
  • 17
    • 0004334431 scopus 로고    scopus 로고
    • Likelihood Inference for Discretely Observed Nonlinear Diffusions
    • Nuffield College, Oxford
    • ELERIAN, O., S. CHIB, AND N. SHEPHARD (1998): "Likelihood Inference for Discretely Observed Nonlinear Diffusions," Economics Discussion Paper 146, Nuffield College, Oxford.
    • (1998) Economics Discussion Paper 146
    • Elerian, O.1    Chib, S.2    Shephard, N.3
  • 19
    • 84881079791 scopus 로고
    • Approximate Discrete-Time Schemes for Statistics of Diffusion Processes
    • FLORENS-ZMIRNOU, D. (1989): "Approximate Discrete-Time Schemes for Statistics of Diffusion Processes," Statistics, 20, 547-557.
    • (1989) Statistics , vol.20 , pp. 547-557
    • Florens-Zmirnou, D.1
  • 20
    • 33746404294 scopus 로고    scopus 로고
    • Estimating Stochastic Differential Equations Efficiently by Minimum Chi-squared
    • GALLANT, A. R., AND J. R. LONG (1997): "Estimating Stochastic Differential Equations Efficiently by Minimum Chi-squared," Biometrika, 84, 125-141.
    • (1997) Biometrika , vol.84 , pp. 125-141
    • Gallant, A.R.1    Long, J.R.2
  • 23
    • 84972492387 scopus 로고
    • Inference from Iterative Simulation using Multiple Sequences
    • GELMAN, A., AND D. B. RUBIN (1992): "Inference from Iterative Simulation using Multiple Sequences," Statistical Science, 7, 457-472.
    • (1992) Statistical Science , vol.7 , pp. 457-472
    • Gelman, A.1    Rubin, D.B.2
  • 25
    • 0001667705 scopus 로고
    • Bayesian Inference in Econometric Models using Monte Carlo Integration
    • GEWEKE, J. (1989): "Bayesian Inference in Econometric Models using Monte Carlo Integration," Econometrica, 57, 1317-1339.
    • (1989) Econometrica , vol.57 , pp. 1317-1339
    • Geweke, J.1
  • 26
    • 0002218961 scopus 로고    scopus 로고
    • Likelihood Inference for Spatial Point Processes
    • ed. by O. E. Barndorff-Nielsen, W. S. Kendall, and M. N. M. Lieshout. London: Chapman and Hall
    • GEYER, C. J. (1999): "Likelihood Inference for Spatial Point Processes," in Current Trends in Stochastic Geometry and Applications, ed. by O. E. Barndorff-Nielsen, W. S. Kendall, and M. N. M. Lieshout. London: Chapman and Hall, pp. 141-172.
    • (1999) Current Trends in Stochastic Geometry and Applications , pp. 141-172
    • Geyer, C.J.1
  • 29
    • 0029182376 scopus 로고
    • Back to the Future: Generating Moment Implications for Continuous-Time Markov Processes
    • HANSEN, L., AND J. A. SCHEINKMAN (1995): "Back to the Future: Generating Moment Implications for Continuous-Time Markov Processes," Econometrica, 63, 767-804.
    • (1995) Econometrica , vol.63 , pp. 767-804
    • Hansen, L.1    Scheinkman, J.A.2
  • 30
    • 0031536748 scopus 로고    scopus 로고
    • A Nonparametric Approach to the Estimation of Diffusion Processes, with an Application to a Short-term Interest-rate Model
    • JIANG, G. J., AND J. L. KNIGHT (1997): "A Nonparametric Approach to the Estimation of Diffusion Processes, with an Application to a Short-term Interest-rate Model," Econometric Theory, 13, 615-645.
    • (1997) Econometric Theory , vol.13 , pp. 615-645
    • Jiang, G.J.1    Knight, J.L.2
  • 32
    • 0000647626 scopus 로고    scopus 로고
    • Estimating Equations Based on Eigenfunctions for a Discretely Observed Diffusion Process
    • KESSLER, M., AND M. SØRENSEN (1999): "Estimating Equations Based on Eigenfunctions for a Discretely Observed Diffusion Process," Bernoulli, 5, 299-314.
    • (1999) Bernoulli , vol.5 , pp. 299-314
    • Kessler, M.1    SØrensen, M.2
  • 33
    • 0001251517 scopus 로고    scopus 로고
    • Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models
    • KIM, S., N. SHEPHARD, AND S. CHIB (1998): "Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models," Review of Economic Studies, 65, 361-393.
    • (1998) Review of Economic Studies , vol.65 , pp. 361-393
    • Kim, S.1    Shephard, N.2    Chib, S.3
  • 35
    • 0002662247 scopus 로고
    • Bayesian Estimates of Equation System Parameters: An Application on Integration by Monte Carlo
    • KLOEK, T., AND H. K. VAN DIJK (1978): "Bayesian Estimates of Equation System Parameters: An Application on Integration by Monte Carlo," Econometrica, 46, 1-20.
    • (1978) Econometrica , vol.46 , pp. 1-20
    • Kloek, T.1    Van Dijk, H.K.2
  • 36
    • 0037700545 scopus 로고    scopus 로고
    • Weak Rate of Convergence for an Euler Scheme of Nonlinear SDE's
    • KOHATSU-HIGA, A., AND S. OGAWA (1997): "Weak Rate of Convergence for an Euler Scheme of Nonlinear SDE's," Monte Carlo Methods and Applications, 3, 327-345.
    • (1997) Monte Carlo Methods and Applications , vol.3 , pp. 327-345
    • Kohatsu-Higa, A.1    Ogawa, S.2
  • 39
    • 0003413853 scopus 로고
    • Quasi-likelihood Inference for Discretely Observed Diffusion Processes
    • Department of Theoretical Statistics, University of Aarhus
    • PEDERSEN, A. R. (1994): "Quasi-likelihood Inference for Discretely Observed Diffusion Processes," Research Report No. 295, Department of Theoretical Statistics, University of Aarhus.
    • (1994) Research Report , vol.295
    • Pedersen, A.R.1
  • 40
    • 0002841968 scopus 로고
    • A New Approach to Maximum Likelihood Estimation for Stochastic Differential Equations Based on Discrete Observations
    • _ (1995): "A New Approach to Maximum Likelihood Estimation for Stochastic Differential Equations Based on Discrete Observations," Scandinavian Journal of Statistics, 22, 55-71.
    • (1995) Scandinavian Journal of Statistics , vol.22 , pp. 55-71
  • 41
    • 0031514913 scopus 로고    scopus 로고
    • The Euler Scheme for Lévy Stochastic Differential Equations
    • PROTTER, P., AND D. TALAY (1997): "The Euler Scheme for Lévy Stochastic Differential Equations," Annals of Probability, 25, 393-423.
    • (1997) Annals of Probability , vol.25 , pp. 393-423
    • Protter, P.1    Talay, D.2
  • 42
    • 0001348541 scopus 로고
    • Accounting for Model Uncertainty in Survival Analysis Improves Predictive Performance
    • ed. by J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith. New York: Oxford University Press
    • RAFTERY, A. E., D. MADIGAN, AND C. T. VOLINSKY (1994): "Accounting for Model Uncertainty in Survival Analysis Improves Predictive Performance," in Bayesian Statistics, Vol. 5, ed. by J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith. New York: Oxford University Press, pp. 323-349.
    • (1994) Bayesian Statistics , vol.5 , pp. 323-349
    • Raftery, A.E.1    Madigan, D.2    Volinsky, C.T.3
  • 44
    • 0000301907 scopus 로고
    • Remarks on a Multivariate Transformation
    • ROSENBLATT, M. (1952): "Remarks on a Multivariate Transformation," Annals of Mathematical Statistics, 23, 470-472.
    • (1952) Annals of Mathematical Statistics , vol.23 , pp. 470-472
    • Rosenblatt, M.1
  • 45
    • 0003258788 scopus 로고    scopus 로고
    • Likelihood Analysis of Non-Gaussian Measurement Time Series
    • SHEPHARD, N., AND M. K. PITT (1997): "Likelihood Analysis of Non-Gaussian Measurement Time Series," Biometrika, 84, 653-667.
    • (1997) Biometrika , vol.84 , pp. 653-667
    • Shephard, N.1    Pitt, M.K.2
  • 46
    • 84984500213 scopus 로고
    • Diagnostic Checks of Non-standard Time Series Models
    • SMITH, J. Q. (1985): "Diagnostic Checks of Non-standard Time Series Models," Journal of Forecasting, 4, 283-291.
    • (1985) Journal of Forecasting , vol.4 , pp. 283-291
    • Smith, J.Q.1
  • 47
    • 0000475705 scopus 로고    scopus 로고
    • Estimating Functions for Discretely Observed Diffusions: A Review
    • ed. by I. V. Basawa, V. P. Godambe, and R. L. Taylor. IMS Lecture Notes. Monograph Series
    • SØRENSEN, M. (1997): "Estimating Functions for Discretely Observed Diffusions: A Review," in Selected Proceedings of the Symposium on Estimating Functions, ed. by I. V. Basawa, V. P. Godambe, and R. L. Taylor. IMS Lecture Notes. Monograph Series, pp. 305-325.
    • (1997) Selected Proceedings of the Symposium on Estimating Functions , pp. 305-325
    • SØrensen, M.1
  • 48
    • 0003208202 scopus 로고
    • Simulation and Numerical Analysis of Stochastic Differential Systems: A Review
    • ed. by P. Krée and W. Wedig. Berlin: Springer-Verlag, Chap. 3
    • TALAY, D. (1995): "Simulation and Numerical Analysis of Stochastic Differential Systems: A Review," in Probabilistic Methods in Applied Physics, Vol. 451, ed. by P. Krée and W. Wedig. Berlin: Springer-Verlag, Chap. 3, pp. 54-96.
    • (1995) Probabilistic Methods in Applied Physics , vol.451 , pp. 54-96
    • Talay, D.1
  • 49
    • 0000124397 scopus 로고
    • Expansion of the Global Error for Numerical Schemes Solving Stochastic Differential Equations
    • TALAY, D., AND L. TUBARO (1990): "Expansion of the Global Error for Numerical Schemes Solving Stochastic Differential Equations," Stochastic Analysis and Applications, 8, 94-120.
    • (1990) Stochastic Analysis and Applications , vol.8 , pp. 94-120
    • Talay, D.1    Tubaro, L.2
  • 50
    • 0001982376 scopus 로고    scopus 로고
    • New Minimum Chi-squared Methods in Empirical Finance
    • ed. by D. M. Kreps and K. F. Wallis. Cambridge: Cambridge University Press, Chap. 9
    • TAUCHEN, G. E. (1997): "New Minimum Chi-squared Methods in Empirical Finance," in Advances in Economics and Econometrics: Theory and Applications, 7th World Congress, Vol. 3, ed. by D. M. Kreps and K. F. Wallis. Cambridge: Cambridge University Press, Chap. 9, pp. 279-317.
    • (1997) Advances in Economics and Econometrics: Theory and Applications, 7th World Congress , vol.3 , pp. 279-317
    • Tauchen, G.E.1


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