메뉴 건너뛰기




Volumn 8, Issue 4, 2009, Pages 450-480

Bayesian inference for discretely sampled Markov processes with closed-form likelihood expansions

Author keywords

Bayesian inference; Closed form likelihood; Exchange algorithm; Jump diffusion process

Indexed keywords


EID: 77956270705     PISSN: 14798409     EISSN: 14798417     Source Type: Journal    
DOI: 10.1093/jjfinec/nbp027     Document Type: Article
Times cited : (25)

References (63)
  • 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. Review of Financial Studies 9(2): 385-426.
    • (1996) Review of Financial Studies , vol.9 , Issue.2 , pp. 385-426
    • Aït-Sahalia, Y.1
  • 2
    • 0040843309 scopus 로고    scopus 로고
    • Transition Densities for Interest Rate and Other Nonlinear Diffusions
    • Aït-Sahalia, Y. 1999. Transition Densities for Interest Rate and Other Nonlinear Diffusions. Journal of Finance 54(4): 1361-1395.
    • (1999) Journal of Finance , vol.54 , Issue.4 , pp. 1361-1395
    • Aït-Sahalia, Y.1
  • 3
    • 0036216388 scopus 로고    scopus 로고
    • Maximum Likelihood Estimation of Discretely Sampled Diffusions: A Closed-Form Approximation Approach
    • Aït-Sahalia, Y. 2002. Maximum Likelihood Estimation of Discretely Sampled Diffusions: A Closed-Form Approximation Approach. Econometrica 70(1): 223-262.
    • (2002) Econometrica , vol.70 , Issue.1 , pp. 223-262
    • Aït-Sahalia, Y.1
  • 4
    • 84967604641 scopus 로고    scopus 로고
    • Likelihood Inference for Diffusions: A Survey
    • J. Fan, and H. L. Koul. London: Imperial College Press (eds.)
    • Aït-Sahalia, Y. 2006. "Likelihood Inference for Diffusions: A Survey." In Frontiers in Statistics: in Honor of Peter J. Bickel's 65th Birthday. J. Fan, and H.L. Koul (eds.), pp. 369-405. London: Imperial College Press.
    • (2006) Frontiers in Statistics: in Honor of Peter J. Bickel's 65th Birthday , pp. 369-405
    • Aït-Sahalia, Y.1
  • 5
    • 45749126907 scopus 로고    scopus 로고
    • Closed-Form Likelihood Expansions for Multivariate Diffusions
    • Aït-Sahalia, Y. 2008. Closed-Form Likelihood Expansions for Multivariate Diffusions. The Annals of Statistics 36(2): 906-937.
    • (2008) The Annals of Statistics , vol.36 , Issue.2 , pp. 906-937
    • Aït-Sahalia, Y.1
  • 6
    • 33846486684 scopus 로고    scopus 로고
    • Maximum Likelihood Estimation of Stochastic Volatility Models
    • Aït-Sahalia, Y., and R. Kimmel. 2007. Maximum Likelihood Estimation of Stochastic Volatility Models. Journal of Financial Economics 83: 413-452.
    • (2007) Journal of Financial Economics , vol.83 , pp. 413-452
    • Aït-Sahalia, Y.1    Kimmel, R.2
  • 8
    • 0041360504 scopus 로고    scopus 로고
    • Likelihood and Non-parametric Bayesian MCMC Inference for Spatial Point Processes Based on Perfect Simulation and Path Sampling
    • Berthelsen, K., and J. Møller. 2003. Likelihood and Non-parametric Bayesian MCMC Inference for Spatial Point Processes Based on Perfect Simulation and Path Sampling. Scandinavian Journal of Statistics 30: 549-564.
    • (2003) Scandinavian Journal of Statistics , vol.30 , pp. 549-564
    • Berthelsen, K.1    Møller, J.2
  • 9
    • 0040836224 scopus 로고
    • Representation of Knowledge in Complex Systems
    • Comments on. U. Grenander and M. I. Miller
    • Besag, J.E. 1994. Comments on "Representation of Knowledge in Complex Systems" by U. Grenander and M.I. Miller. Journal of the Royal Statistical Society, Series B 56: 591-592.
    • (1994) Journal of the Royal Statistical Society, Series B , vol.56 , pp. 591-592
    • Besag, J.E.1
  • 11
    • 35349014465 scopus 로고    scopus 로고
    • Retrospective Exact Simulation of Diffusion Sample Paths with Applications
    • Beskos, A., O. Papaspiliopoulos, and G.O. Roberts. 2006a. Retrospective Exact Simulation of Diffusion Sample Paths with Applications. Bernoulli 12(6): 1077-1098.
    • (2006) Bernoulli , vol.12 , Issue.6 , pp. 1077-1098
    • Beskos, A.1    Papaspiliopoulos, O.2    Roberts, G.O.3
  • 15
    • 65349123487 scopus 로고    scopus 로고
    • Monte Carlo Maximum Likelihood Estimation for Discretely Observed Diffusion Processes
    • Beskos, A., O. Papaspiliopoulos, and G.O. Roberts. 2009. Monte Carlo Maximum Likelihood Estimation for Discretely Observed Diffusion Processes. Annals of Statistics 37: 223-245.
    • (2009) Annals of Statistics , vol.37 , pp. 223-245
    • Beskos, A.1    Papaspiliopoulos, O.2    Roberts, G.O.3
  • 16
    • 47749120607 scopus 로고    scopus 로고
    • Bayesian Modeling of Continuously Marked Spatial Point Patterns
    • Bognar, M. 2008. Bayesian Modeling of Continuously Marked Spatial Point Patterns. Computational Statistics 23(3): 361-379.
    • (2008) Computational Statistics , vol.23 , Issue.3 , pp. 361-379
    • Bognar, M.1
  • 17
    • 0036149169 scopus 로고    scopus 로고
    • Simulated Likelihood Estimation of Diffusions with an Application to Exchange Rate Dynamics in Incomplete Markets
    • Brandt, M.W., and P. Santa-Clara. 2002. Simulated Likelihood Estimation of Diffusions with an Application to Exchange Rate Dynamics in Incomplete Markets. Journal of Financial Economics 63(2): 161-210.
    • (2002) Journal of Financial Economics , vol.63 , Issue.2 , pp. 161-210
    • Brandt, M.W.1    Santa-Clara, P.2
  • 18
    • 33645556341 scopus 로고    scopus 로고
    • Exact Simulation of Stochastic Volatility and Other Affine Jump Diffusion Processes
    • Broadie, M., and Ö. Kaya. 2006. Exact Simulation of Stochastic Volatility and Other Affine Jump Diffusion Processes. Operations Research 54(2): 217-231.
    • (2006) Operations Research , vol.54 , Issue.2 , pp. 217-231
    • Broadie, M.1    Kaya, Ö.2
  • 24
    • 33847220057 scopus 로고    scopus 로고
    • Markov Chain Monte Carlo Methods: Computation and Inference
    • J. Heckman, and E. Leamer (eds.). North Holland
    • Chib, S. 2001. "Markov Chain Monte Carlo Methods: Computation and Inference." In Handbook of Econometrics, J. Heckman, and E. Leamer (eds.), vol. 5, pp. 3569-3649. North Holland.
    • (2001) Handbook of Econometrics , vol.5 , pp. 3569-3649
    • Chib, S.1
  • 25
    • 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
  • 28
    • 0001205798 scopus 로고
    • A Theory of the Term Structure of Interest Rates
    • Cox, J.C., J.E. Ingersoll, and S.A. Ross. 1985. A Theory of the Term Structure of Interest Rates. Econometrica 53(2): 385-407.
    • (1985) Econometrica , vol.53 , Issue.2 , pp. 385-407
    • Cox, J.C.1    Ingersoll, J.E.2    Ross, S.A.3
  • 30
    • 0040715916 scopus 로고    scopus 로고
    • Multivariate Density Forecast Evaluation and Calibration in Financial Risk Management: High-frequency Returns on Foregin Exchange
    • Diebold, F., J. Hahn, and A. Tay. 1999. Multivariate Density Forecast Evaluation and Calibration in Financial Risk Management: High-frequency Returns on Foregin Exchange. The Review of Economics and Statistics 81: 661-673.
    • (1999) The Review of Economics and Statistics , vol.81 , pp. 661-673
    • Diebold, F.1    Hahn, J.2    Tay, A.3
  • 32
    • 0242551104 scopus 로고    scopus 로고
    • Likelihood-based Specification Analysis of Continous-time Models of the Short-term Interest Rate
    • Durham, G.B. 2003. Likelihood-based Specification Analysis of Continous-time Models of the Short-term Interest Rate. Journal of Financial Economics 70: 463-487.
    • (2003) Journal of Financial Economics , vol.70 , pp. 463-487
    • Durham, G.B.1
  • 33
    • 0036339461 scopus 로고    scopus 로고
    • Numerical Techniques for Maximum Like-lihood Estimation of Continuous-time Diffusion Processes
    • Durham, G.B., and A.R. Gallant. 2002. Numerical Techniques for Maximum Like-lihood Estimation of Continuous-time Diffusion Processes. Journal of Business & Economic Statistics 20(3): 297-338.
    • (2002) Journal of Business & Economic Statistics , vol.20 , Issue.3 , pp. 297-338
    • Durham, G.B.1    Gallant, A.R.2
  • 34
    • 0347985219 scopus 로고    scopus 로고
    • Maximum Likelihood Estimation of Time-Inhomogenous Diffusions
    • Egorov, A., H. Li, and Y. Xu. 2003. Maximum Likelihood Estimation of Time-Inhomogenous Diffusions. Journal of Econometrics 114(1):107-139.
    • (2003) Journal of Econometrics , vol.114 , Issue.1 , pp. 107-139
    • Egorov, A.1    Li, H.2    Xu, Y.3
  • 35
    • 0000440935 scopus 로고    scopus 로고
    • Likelihood Inference for Discretely Observed Nonlinear Diffusions
    • Elerian, O., S. Chib, and N. Shephard. 2001. Likelihood Inference for Discretely Observed Nonlinear Diffusions. Econometrica 69(4): 959-993.
    • (2001) Econometrica , vol.69 , Issue.4 , pp. 959-993
    • Elerian, O.1    Chib, S.2    Shephard, N.3
  • 36
    • 0035586814 scopus 로고    scopus 로고
    • MCMC Analysis of Diffusion Models with Application to Finance
    • Eraker, B. 2001. MCMC Analysis of Diffusion Models with Application to Finance. Journal of Business & Economic Statistics 19(2): 177-191.
    • (2001) Journal of Business & Economic Statistics , vol.19 , Issue.2 , pp. 177-191
    • Eraker, B.1
  • 37
    • 2942726323 scopus 로고    scopus 로고
    • Do Stock Prices and Volatility Jump? Reconciling Evidence from Spot and Option Prices
    • Eraker, B. 2004. Do Stock Prices and Volatility Jump? Reconciling Evidence from Spot and Option Prices. Journal of Finance 59(3): 1367-1404.
    • (2004) Journal of Finance , vol.59 , Issue.3 , pp. 1367-1404
    • Eraker, B.1
  • 38
    • 38249026451 scopus 로고
    • Exact Predictive Densities in Linear Models with ARCH Disturbance
    • Geweke, J. 1989 Exact Predictive Densities in Linear Models with ARCH Disturbance. Journal of Econometrics 40: 63-86.
    • (1989) Journal of Econometrics , vol.40 , pp. 63-86
    • Geweke, J.1
  • 39
    • 85071345140 scopus 로고    scopus 로고
    • Using Simulation Methods for Bayesian Econometric Models: Inference, Development and Communication (with discussion and rejoinder)
    • Geweke, J. 1999. Using Simulation Methods for Bayesian Econometric Models: Inference, Development and Communication (with discussion and rejoinder). Econometric Review 18: 1-126.
    • (1999) Econometric Review , vol.18 , pp. 1-126
    • Geweke, J.1
  • 41
    • 35549009345 scopus 로고    scopus 로고
    • Bayesian Inference for Nonlinear Multivariate Diffusion Models Observed with Error
    • Golightly, A., and D.J. Wilkinson. 2008. Bayesian Inference for Nonlinear Multivariate Diffusion Models Observed with Error. Computational Statistics and Data Analysis 52(3): 1674-1693.
    • (2008) Computational Statistics and Data Analysis , vol.52 , Issue.3 , pp. 1674-1693
    • Golightly, A.1    Wilkinson, D.J.2
  • 42
    • 0041827708 scopus 로고    scopus 로고
    • Bayesian Smoothing in the Estimation of the Pair Potential Function of Gibbs Point Patterns
    • Heikkinen, J., and A. Penttinen. 1999. Bayesian Smoothing in the Estimation of the Pair Potential Function of Gibbs Point Patterns. Bernoulli 5: 1119-1136.
    • (1999) Bernoulli , vol.5 , pp. 1119-1136
    • Heikkinen, J.1    Penttinen, A.2
  • 43
    • 77956286226 scopus 로고    scopus 로고
    • Optimal Filtering of Jump Diffusions: Extracting Latent States from Asset Prices
    • Johannes, M.S., N.G. Polson, and J.R. Stroud. 2008. Optimal Filtering of Jump Diffusions: Extracting Latent States from Asset Prices. Review of Financial Studies 22: 2759-2799.
    • (2008) Review of Financial Studies , vol.22 , pp. 2759-2799
    • Johannes, M.S.1    Polson, N.G.2    Stroud, J.R.3
  • 44
    • 0004194177 scopus 로고    scopus 로고
    • Bayesian Estimation of Continuous-Time Finance Models
    • Unpublished Paper, University of Rochester
    • Jones, C.S. 1999. Bayesian Estimation of Continuous-Time Finance Models. Unpublished Paper, Simon School of Buisness, University of Rochester.
    • (1999) Simon School of Buisness
    • Jones, C.S.1
  • 45
    • 0242557093 scopus 로고    scopus 로고
    • The Dynamics of Stochastic Volatility: Evidence from Underlying and Options Markets
    • Jones, C.S. 2003. The Dynamics of Stochastic Volatility: Evidence from Underlying and Options Markets. Journal of Econometrics 116: 181-224.
    • (2003) Journal of Econometrics , vol.116 , pp. 181-224
    • Jones, C.S.1
  • 47
    • 0032382838 scopus 로고    scopus 로고
    • Markov Chain Monte Carlo in Practice: A Roundtable Discussion
    • Kass, R., B. Carlin, A. Gelman, and R. Neal. 1998. Markov Chain Monte Carlo in Practice: A Roundtable Discussion. The American Statistician 52: 93-100.
    • (1998) The American Statistician , vol.52 , pp. 93-100
    • Kass, R.1    Carlin, B.2    Gelman, A.3    Neal, R.4
  • 48
    • 0040360923 scopus 로고    scopus 로고
    • Estimation of an Ergodic Diffusion from Discrete Observations
    • Kessler, M. 1997. Estimation of an Ergodic Diffusion from Discrete Observations. Scandinavian Journal of Statistics 24: 211-229.
    • (1997) Scandinavian Journal of Statistics , vol.24 , pp. 211-229
    • Kessler, M.1
  • 49
    • 0001251517 scopus 로고    scopus 로고
    • Stochastic Volatility: Likelihood Inference and Comparison with ARCH Model
    • Kim, S., N. Shephard, and S. Chib. 1998. Stochastic Volatility: Likelihood Inference and Comparison with ARCH Model. 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
  • 52
    • 84974325324 scopus 로고
    • Maximum Likelihood Estimation of Generalized Itô Processes with Discretely Sampled Data
    • Lo, A.W. 1988. Maximum Likelihood Estimation of Generalized Itô Processes with Discretely Sampled Data. Econometric Theory 4: 231-247.
    • (1988) Econometric Theory , vol.4 , pp. 231-247
    • Lo, A.W.1
  • 53
    • 33745612435 scopus 로고    scopus 로고
    • An Efficient Markov Chain Monte Carlo Method for Distributions with Intractable Normalising Constants
    • Møller, J., A. Pettitt, K. Berthelsen, and R. Reeves. 2006. An Efficient Markov Chain Monte Carlo Method for Distributions with Intractable Normalising Constants. Biometrika 93: 451-458.
    • (2006) Biometrika , vol.93 , pp. 451-458
    • Møller, J.1    Pettitt, A.2    Berthelsen, K.3    Reeves, R.4
  • 55
    • 84972530323 scopus 로고
    • Consistency and Asymptotic Normality of an Approximate Maximum Likelihood Estimator for Discretely Observed Diffusion Processes
    • Pedersen, A.R. 1995. Consistency and Asymptotic Normality of an Approximate Maximum Likelihood Estimator for Discretely Observed Diffusion Processes. Bernoulli 1: 257-279.
    • (1995) Bernoulli , vol.1 , pp. 257-279
    • Pedersen, A.R.1
  • 56
    • 10244252366 scopus 로고    scopus 로고
    • On Inference for Partially Observed Non-linear Diffusion Models Using the Metropolis-Hastings Algorithm
    • Roberts, G.O., and O. Stramer. 2001. On Inference for Partially Observed Non-linear Diffusion Models Using the Metropolis-Hastings Algorithm. Biometrika 88(3): 603-621.
    • (2001) Biometrika , vol.88 , Issue.3 , pp. 603-621
    • Roberts, G.O.1    Stramer, O.2
  • 57
    • 85132364916 scopus 로고    scopus 로고
    • Exponential Convergence of Langevin Distributions and their Discrete Approximations
    • Roberts, G.O., and R.L. Tweedie. 1996. Exponential Convergence of Langevin Distributions and their Discrete Approximations. Bernoulli 2(4): 341-363.
    • (1996) Bernoulli , vol.2 , Issue.4 , pp. 341-363
    • Roberts, G.O.1    Tweedie, R.L.2
  • 59
    • 84984500213 scopus 로고
    • Diagnostic Checks of Non-Standard Time Series Models
    • Smith, J. 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.1
  • 60
    • 35348963754 scopus 로고    scopus 로고
    • On Simulated Likelihood of Discretely Observed Diffusion Processes and Comparison to Closed-Form Approximation
    • Stramer, O., and J. Yan 2007. On Simulated Likelihood of Discretely Observed Diffusion Processes and Comparison to Closed-Form Approximation. Journal of Computational and Graphical Statistics 23: 672-691.
    • (2007) Journal of Computational and Graphical Statistics , vol.23 , pp. 672-691
    • Stramer, O.1    Yan, J.2
  • 61
    • 84870307290 scopus 로고    scopus 로고
    • Comment on Garland B. Durham and A. Ronald Gallant's Numerical techniques for maximum likelihood estimation of continuous-time diffusion processes
    • Tauchen, G. 2002. Comment on Garland B. Durham and A. Ronald Gallant's Numerical techniques for maximum likelihood estimation of continuous-time diffusion processes. Journal of Business & Economic Statistics 20(3): 331-332.
    • (2002) Journal of Business & Economic Statistics , vol.20 , Issue.3 , pp. 331-332
    • Tauchen, G.1
  • 62
    • 77955165679 scopus 로고    scopus 로고
    • Working Paper, Department of Economics, Duke Univeristy
    • Todorov, V., and G. Tauchen. 2009. "Volatility Jumps." Working Paper, Department of Economics, Duke Univeristy, http://www.econ.duke.edu/̃get/wpapers/bg.pdf.
    • (2009) Volatility Jumps
    • Todorov, V.1    Tauchen, G.2
  • 63
    • 34848848418 scopus 로고    scopus 로고
    • Closed-Form Likelihood Estimation of Jump-diffusions with an Application to the Realignment Risk of the Chinese Yuan
    • Yu, J. 2007. Closed-Form Likelihood Estimation of Jump-diffusions with an Application to the Realignment Risk of the Chinese Yuan. Journal of Econometrics, 141, 1245-1280.
    • (2007) Journal of Econometrics , vol.141 , pp. 1245-1280
    • Yu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.