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Volumn 88, Issue 3, 2001, Pages 603-621

On inference for partially observed nonlinear diffusion models using the Metropolis-Hastings algorithm

Author keywords

Diffusion process; Independence sampler; Markov chain Monte Carlo

Indexed keywords


EID: 10244252366     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/88.3.603     Document Type: Article
Times cited : (232)

References (20)
  • 1
    • 0242670422 scopus 로고    scopus 로고
    • Testing continuous-time models of the spot interest rate
    • AïT-SAHALIA, Y. (1996). Testing continuous-time models of the spot interest rate. Rei: Finan. Studies 9, 385-426.
    • (1996) Rei: Finan. Studies , vol.9 , pp. 385-426
    • Aït-Sahalia, Y.1
  • 2
    • 44949272138 scopus 로고
    • On rates of convergence of stochastic relaxation for Gaussian and non-Gaussian distributions
    • AMIT, Y. ( 1991 ). On rates of convergence of stochastic relaxation for Gaussian and non-Gaussian distributions. J. Mult. Anal. 38, 82-99
    • (1991) J. Mult. Anal. , vol.38 , pp. 82-99
    • Amit, Y.1
  • 3
    • 0346205399 scopus 로고    scopus 로고
    • Markov chain Monte Carlo method and its application
    • BROOKS, S. P. (1998). Markov chain Monte Carlo method and its application. Statistician 47, 69-100.
    • (1998) Statistician , vol.47 , pp. 69-100
    • Brooks, S.P.1
  • 4
    • 84977707412 scopus 로고
    • An empirical comparison of alternative models of the short-term interest rates
    • CHAN, K. C., KAROLYI, G. A., LONGSTAFF, F. A. & SANDERS, A. B. (1992). An empirical comparison of alternative models of the short-term interest rates. Finance 3, 1209-27.
    • (1992) Finance , vol.3 , pp. 1209-1227
    • Chan, K.C.1    Karolyi, G.A.2    Longstaff, F.A.3    Sanders, A.B.4
  • 5
    • 0030539336 scopus 로고    scopus 로고
    • Markov chain Monte Carlo convergence diagnostics: A comparative review
    • COWLES, M. K. & CARLIN, B. P. (1996). Markov chain Monte Carlo convergence diagnostics: A comparative review. J. Am. Statist. Assoc. 91, 883-904.
    • (1996) J. Am. Statist. Assoc. , vol.91 , pp. 883-904
    • Cowles, M.K.1    Carlin, B.P.2
  • 6
    • 0001205798 scopus 로고
    • A theory of the term structure of interest rate
    • Cox, J. C., INGERSOLL, J. E. & Ross, S. A. (1985). A theory of the term structure of interest rate. Econometrica 53, 385-408.
    • (1985) Econometrica , vol.53 , pp. 385-408
    • Cox, J.C.1    Ingersoll, J.E.2    Ross, S.A.3
  • 7
    • 0000440935 scopus 로고    scopus 로고
    • Likelihood inference for discretely observed non-linear diffusions
    • ELERIAN, O. S., CHID, S. & SHEPHARD, N. (2001). Likelihood inference for discretely observed non-linear diffusions. Econometrica 69. To appear.
    • (2001) Econometrica , vol.69
    • Elerian, O.S.1    Chid, S.2    Shephard, N.3
  • 8
    • 0001032163 scopus 로고
    • Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments
    • Ed. J. M. Bernardo, A. F. M. Smith, A. P. Dawid and J. O. Berger, pp. 169-94. Oxford: Oxford University Press.
    • GEWEKE, J. (1992). Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments. In Proceedings of the Fourth Valencia International Meeting on Bayesian Statistics, Ed. J. M. Bernardo, A. F. M. Smith, A. P. Dawid and J. O. Berger, pp. 169-94. Oxford: Oxford University Press.
    • (1992) Proceedings of the Fourth Valencia International Meeting on Bayesian Statistics
    • Geweke, J.1
  • 9
    • 0020850136 scopus 로고
    • Simulation run length control in the presence of an initial transient
    • HEIDELBERGER, P. & WELCH, P. D. (1983). Simulation run length control in the presence of an initial transient. Oper. Res. 31, 1109-44.
    • (1983) Oper. Res. , vol.31 , pp. 1109-1144
    • Heidelberger, P.1    Welch, P.D.2
  • 10
    • 0001422227 scopus 로고
    • Parametrization issues in Bayesian inference
    • Ed. J. M. Bernardo, J. Berger, A. P. Dawid and A. F. M. Smith, Oxford: Oxford University Press.
    • HILLS, S. E. & SMITH, A. F. M. (1992). Parametrization issues in Bayesian inference. In Bayesian Statistics 4, Ed. J. M. Bernardo, J. Berger, A. P. Dawid and A. F. M. Smith, pp. 227-46. Oxford: Oxford University Press.
    • (1992) In Bayesian Statistics 4 , pp. 227-246
    • Hills, S.E.1    Smith, A.F.M.2
  • 11
    • 18244387717 scopus 로고    scopus 로고
    • The EM algorithm -an old folk song to a new tune (with Discussion)
    • MENG, X.-L. & VAN DYK, D. A. (1997). The EM algorithm -an old folk song to a new tune (with Discussion). J. R. Statist. Soc. B 59, 511-67.
    • (1997) J. R. Statist. Soc. B , vol.59 , pp. 511-567
    • Meng, X.-L.1    Van Dyk, D.A.2
  • 12
    • 0001057239 scopus 로고    scopus 로고
    • Fast EM-type implementations for mixed effects models
    • MENG, X.-L. & VAN DYK, D. A. (1998). Fast EM-type implementations for mixed effects models. J. R. Statist. Soc. B 60, 559-78.
    • (1998) J. R. Statist. Soc. B , vol.60 , pp. 559-578
    • Meng, X.-L.1    Van Dyk, D.A.2
  • 13
    • 0001204841 scopus 로고    scopus 로고
    • MCMC convergence diagnostics: A 'review'
    • Ed. J. Berger, J. Bernardo, A. P. Dawid and A. F. M. Smith, Oxford: Oxford Sciences.
    • MENGERSEN, K. L., ROBERT, C. P. & GUIHENNEUC-LOUYAC, C. (1999). MCMC convergence diagnostics: a 'review'. In Bayesian Statistics 6, Ed. J. Berger, J. Bernardo, A. P. Dawid and A. F. M. Smith, pp. 415-40. Oxford: Oxford Sciences.
    • (1999) In Bayesian Statistics 6 , pp. 415-440
    • Mengersen, K.L.1    Robert, C.P.2    Guihenneuc-Louyac, C.3
  • 14
    • 0002913686 scopus 로고
    • A bridge between nonlinear time series models and nonlinear stochastic dynamical systems: A local linearization approach
    • OZAKI, T. (1992). A bridge between nonlinear time series models and nonlinear stochastic dynamical systems: A local linearization approach. Statist. Sinica 2, 113-35.
    • (1992) Statist. Sinica , vol.2 , pp. 113-135
    • Ozaki, T.1
  • 15
    • 0013313364 scopus 로고
    • Bayes factors for discrete observations from diffusion processes
    • POLSON, N. G. & ROBERTS, G. O. (1994). Bayes factors for discrete observations from diffusion processes. Biometrika 81, 11-26.
    • (1994) Biometrika , vol.81 , pp. 11-26
    • Polson, N.G.1    Roberts, G.O.2
  • 16
    • 84972527127 scopus 로고
    • Convergence control techniques for MCMC algorithms
    • ROBERT, C. P. (1995). Convergence control techniques for MCMC algorithms. Statist. Sci. 10, 231-53.
    • (1995) Statist. Sci. , vol.10 , pp. 231-253
    • Robert, C.P.1
  • 17
    • 0041375875 scopus 로고    scopus 로고
    • On convergence of the EM algorithm and the Gibbs sampler
    • ROBERTS, G. O. & SAHU, S. K. (1999). On convergence of the EM algorithm and the Gibbs sampler. Statist. Comp. 9, 55-64.
    • (1999) Statist. Comp. , vol.9 , pp. 55-64
    • Roberts, G.O.1    Sahu, S.K.2
  • 18
    • 33746296133 scopus 로고
    • Diffusions, Markov Processes and Martingales, 1, Foundation
    • ROGERS, L. C. G. & WILLIAMS, D. (1994). Diffusions, Markov Processes and Martingales, 1, Foundation. Chichester: Wiley.
    • (1994) Chichester: Wiley.
    • Rogers, L.C.G.1    Williams, D.2
  • 19
    • 0003258788 scopus 로고    scopus 로고
    • Likelihood analysis of non-Gaussian measurement time series
    • SIIEPHARD, N. &PITT, M. K. (1997). Likelihood analysis of non-Gaussian measurement time series. Biometrika 84, 653-67.
    • (1997) Biometrika , vol.84 , pp. 653-667
    • Siiephard, N.1    Pitt, M.K.2
  • 20
    • 84950758368 scopus 로고
    • The calculation of posterior distributions by data augmentation (with Discussion)
    • TANNER, M. A. & WONG, W. H. (1987). The calculation of posterior distributions by data augmentation (with Discussion). J. Am. Statist. Assoc. 82, 528-50.
    • (1987) J. Am. Statist. Assoc. , vol.82 , pp. 528-550
    • Tanner, M.A.1    Wong, W.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.