메뉴 건너뛰기




Volumn 137, Issue 10, 2007, Pages 3092-3102

Likelihood-based inference for a class of multivariate diffusions with unobserved paths

Author keywords

Data augmentation; Heston model; Markov chain Monte Carlo; Stochastic volatility

Indexed keywords


EID: 34250193275     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2006.05.017     Document Type: Article
Times cited : (14)

References (28)
  • 1
    • 0036216388 scopus 로고    scopus 로고
    • Maximum likelihood estimation of discretely sampled diffusions: a closed form approximation approach
    • Aït-Sahalia Y. Maximum likelihood estimation of discretely sampled diffusions: a closed form approximation approach. Econometrica 70 (2002) 223-262
    • (2002) Econometrica , vol.70 , pp. 223-262
    • Aït-Sahalia, Y.1
  • 2
    • 34250183767 scopus 로고    scopus 로고
    • Aït-Sahalia, Y., 2005. Closed-form likelihood expansions for multivariate diffusions. Working paper. Available from: 〈http://www.princeton.edu/∼yacine/research.htm〉.
  • 3
    • 34250176509 scopus 로고    scopus 로고
    • Aït-Sahalia, Y., Kimmel, R., 2005. Maximum likelihood estimation for stochastic volatility models. J. Financial Econometrics, forthcoming. Available from: 〈http://www.princeton.edu/∼yacine/research.htm〉.
  • 4
    • 33646690994 scopus 로고    scopus 로고
    • Exact and computationally efficient likelihood-based estimation for discretely observed diffusion processes
    • Beskos A., Papaspiliopoulos O., Roberts G.O., and Fearnhead P. Exact and computationally efficient likelihood-based estimation for discretely observed diffusion processes. J. Roy. Statist. Soc. B 68 2 (2006) 1-29
    • (2006) J. Roy. Statist. Soc. B , vol.68 , Issue.2 , pp. 1-29
    • Beskos, A.1    Papaspiliopoulos, O.2    Roberts, G.O.3    Fearnhead, P.4
  • 6
    • 34250166849 scopus 로고    scopus 로고
    • Chib, S., Pitt, M. K., Shephard, N., 2005. Likelihood based inference for diffusion driven models. Available from: 〈http://www.nuff.ox.ac.uk/users/shephard/〉.
  • 7
    • 0030305091 scopus 로고    scopus 로고
    • A yield factor model of interest rates
    • Duffie D., and Kan R. A yield factor model of interest rates. Math. Finance 6 (1996) 379-406
    • (1996) Math. Finance , vol.6 , pp. 379-406
    • Duffie, D.1    Kan, R.2
  • 8
    • 0036339461 scopus 로고    scopus 로고
    • Numerical techniques for maximum likelihood estimation of continuous-time diffusion processes
    • Durham G.B., and Gallant A.R. Numerical techniques for maximum likelihood estimation of continuous-time diffusion processes. J. Bus. Econom. Statist. 20 3 (2002) 297-316
    • (2002) J. Bus. Econom. Statist. , vol.20 , Issue.3 , pp. 297-316
    • Durham, G.B.1    Gallant, A.R.2
  • 10
    • 0000440935 scopus 로고    scopus 로고
    • Likelihood inference for discretely observed non-linear diffusions
    • Elerian O.S., Chib S., and Shephard N. Likelihood inference for discretely observed non-linear diffusions. Econometrica 69 (2001) 959-993
    • (2001) Econometrica , vol.69 , pp. 959-993
    • Elerian, O.S.1    Chib, S.2    Shephard, N.3
  • 11
    • 0035586814 scopus 로고    scopus 로고
    • Markov chain Monte Carlo analysis of diffusion models with application to finance
    • Eraker B. Markov chain Monte Carlo analysis of diffusion models with application to finance. J. Bus. Econom. Statist. 19 2 (2001) 177-191
    • (2001) J. Bus. Econom. Statist. , vol.19 , Issue.2 , pp. 177-191
    • Eraker, B.1
  • 12
    • 67649497847 scopus 로고    scopus 로고
    • Ghysels, E., Harvey, A., Renault, E., 1996. Stochastic volatility. In: Maddala, G.S., Rao, C.R., (Eds.), Handbook of Statistics, vol. 14, Statistical Methods in Finance. North-Holland, Amsterdam.
  • 13
    • 34250165377 scopus 로고    scopus 로고
    • Golightly, A., Wilkinson, D., 2005. Bayesian sequential inference for nonlinear multivariate diffusions. Available from: 〈http://www.staff.ncl.ac.uk/d.j.wilkinson/pub.html.〉.
  • 14
    • 0037836721 scopus 로고
    • A closed form solution for options with stochastic volatility with applications to bond and currency options
    • Heston S.L. A closed form solution for options with stochastic volatility with applications to bond and currency options. Rev. Financial Studies 6 (1993) 327-343
    • (1993) Rev. Financial Studies , vol.6 , pp. 327-343
    • Heston, S.L.1
  • 15
    • 84977709229 scopus 로고
    • The pricing of options on assets with stochastic volatilities
    • Hull J.C., and White A. The pricing of options on assets with stochastic volatilities. J. Finance 42 (1987) 281-300
    • (1987) J. Finance , vol.42 , pp. 281-300
    • Hull, J.C.1    White, A.2
  • 16
    • 0042788830 scopus 로고    scopus 로고
    • Nonlinear mean reversion in the short-term interest rate
    • Jones C.S. Nonlinear mean reversion in the short-term interest rate. Rev. Financial Studies 16 (2003) 793-843
    • (2003) Rev. Financial Studies , vol.16 , pp. 793-843
    • Jones, C.S.1
  • 17
    • 34250176149 scopus 로고    scopus 로고
    • Kalogeropoulos, K., Dellaportas, P., 2006a. Bayesian inference for directly observed multidimensional diffusion models. Working paper.
  • 18
    • 34250185329 scopus 로고    scopus 로고
    • Kalogeropoulos, K., Roberts, G.O., Dellaportas, P., 2006b. A unified Markov chain Monte Carlo framework for diffusion driven stochastic volatility models. Working paper.
  • 21
    • 34250208733 scopus 로고    scopus 로고
    • Papaspiliopoulos, O., Roberts, G.O., Skôld, M., 2003. Non-centered parametrisations for hierarchical models and data augmentation. In: Bernardo, J.M., Bayarri, M.J., Berger, J.O., Dawid, A.P., Heckerman, D., Smith, A.F.M., West, M., (Eds.), Bayesian Statistics, vol. 7. Oxford University Press, Oxford, pp. 307-326.
  • 22
    • 0002841968 scopus 로고
    • A new approach to maximum likelihood estimation for stochastic differential equations based on discrete observations
    • Pedersen A.R. A new approach to maximum likelihood estimation for stochastic differential equations based on discrete observations. Scand. J. Statist. 22 1 (1995) 55-71
    • (1995) Scand. J. Statist. , vol.22 , Issue.1 , pp. 55-71
    • Pedersen, A.R.1
  • 23
    • 10244252366 scopus 로고    scopus 로고
    • On inference for partial observed nonlinear diffusion models using the metropolis-hastings algorithm
    • Roberts G.O., and Stramer O. On inference for partial observed nonlinear diffusion models using the metropolis-hastings algorithm. Biometrika 88 3 (2001) 603-621
    • (2001) Biometrika , vol.88 , Issue.3 , pp. 603-621
    • Roberts, G.O.1    Stramer, O.2
  • 24
    • 34250211757 scopus 로고    scopus 로고
    • Roberts, G.O., Stramer, O., 2001b. On Bayesian analysis of non-linear continuous-time autoregression models, in submission.
  • 26
    • 10244220000 scopus 로고    scopus 로고
    • Parametric inference for diffusion processes observed at discrete points in time: a survey
    • Sørensen H. Parametric inference for diffusion processes observed at discrete points in time: a survey. Int. Statist. Rev. 72 3 (2004) 337-354
    • (2004) Int. Statist. Rev. , vol.72 , Issue.3 , pp. 337-354
    • Sørensen, H.1
  • 27
    • 0001284767 scopus 로고
    • Stock price distributions with stochastic voaltility: an analytic approach
    • Stein E.M., and Stein J.C. Stock price distributions with stochastic voaltility: an analytic approach. Rev. Financial Studies 4 (1991) 727-752
    • (1991) Rev. Financial Studies , vol.4 , pp. 727-752
    • Stein, E.M.1    Stein, J.C.2
  • 28
    • 84950758368 scopus 로고
    • The calculation of posterior distributions by data augmentation
    • Tanner M.A., and Wong W.H. The calculation of posterior distributions by data augmentation. J. Amer. Statist. Assoc. 82 398 (1987) 528-540
    • (1987) J. Amer. Statist. Assoc. , vol.82 , Issue.398 , pp. 528-540
    • Tanner, M.A.1    Wong, W.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.