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Volumn 61, Issue 3, 2005, Pages 781-788

Bayesian inference for stochastic kinetic models using a diffusion approximation

Author keywords

Bayesian inference; Markov chain Monte Carlo; Missing data; Nonlinear diffusion; Stochastic differential equation

Indexed keywords

BAYESIAN NETWORKS; DIFFERENTIAL EQUATIONS; DIFFUSION; INFERENCE ENGINES; KINETIC PARAMETERS; KINETIC THEORY; MARKOV PROCESSES; NONLINEAR EQUATIONS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; WHITE NOISE;

EID: 27744503232     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2005.00345.x     Document Type: Article
Times cited : (159)

References (23)
  • 3
    • 0007564147 scopus 로고
    • The analysis of chemically reacting systems. A stochastic approach
    • New York: Gordon and Breach Science
    • Doraiswamy, L. K. and Kulkarni, B. D. (1987). The analysis of chemically reacting systems. A stochastic approach. In Topics in Chemical Engineering, Volume 4. New York: Gordon and Breach Science.
    • (1987) Topics in Chemical Engineering , vol.4
    • Doraiswamy, L.K.1    Kulkarni, B.D.2
  • 4
    • 0036339461 scopus 로고    scopus 로고
    • Numerical techniques for maximum likelihood estimation of continuous-time diffusion processes
    • Durham, G. B. and Gallant, R. A. (2002). Numerical techniques for maximum likelihood estimation of continuous-time diffusion processes. Journal of Business and Economic Statistics 20, 279-316.
    • (2002) Journal of Business and Economic Statistics , vol.20 , pp. 279-316
    • Durham, G.B.1    Gallant, R.A.2
  • 5
    • 0000440935 scopus 로고    scopus 로고
    • Likelihood inference for discretely observed nonlinear diffusions
    • Elerian, O., Chib, S., and Shephard, N. (2001). Likelihood inference for discretely observed nonlinear diffusions. Econometrica 69, 959-993.
    • (2001) Econometrica , vol.69 , pp. 959-993
    • Elerian, O.1    Chib, S.2    Shephard, N.3
  • 6
    • 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 and Economic Statistics 19, 177-191.
    • (2001) Journal of Business and Economic Statistics , vol.19 , pp. 177-191
    • Eraker, B.1
  • 7
    • 33645429016 scopus 로고
    • Exact stochastic simulation of coupled chemical reactions
    • Gillespie, D. T. (1977). Exact stochastic simulation of coupled chemical reactions. Journal of Physical Chemistry 81, 2340-2361.
    • (1977) Journal of Physical Chemistry , vol.81 , pp. 2340-2361
    • Gillespie, D.T.1
  • 8
    • 44049109914 scopus 로고
    • A rigorous derivation of the chemical master equation
    • Gillespie, D. T. (1992). A rigorous derivation of the chemical master equation. Physica A 188, 404-425.
    • (1992) Physica A , vol.188 , pp. 404-425
    • Gillespie, D.T.1
  • 10
    • 0001251517 scopus 로고    scopus 로고
    • Stochastic volatility: Likelihood inference and comparison with ARCH models
    • Kim, S., Shephard, N., and Chib, S. (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
  • 13
    • 0033083733 scopus 로고    scopus 로고
    • It's a noisy business! Genetic regulation at the nanomolar scale
    • McAdams, H. H. and Arkin, A. (1999). It's a noisy business! Genetic regulation at the nanomolar scale. Trends in Genetics 15, 65-69.
    • (1999) Trends in Genetics , vol.15 , pp. 65-69
    • McAdams, H.H.1    Arkin, A.2
  • 14
    • 0001601301 scopus 로고
    • Stochastic approach to chemical kinetics
    • McQuarrie, D. A. (1967). Stochastic approach to chemical kinetics. Journal of Applied Probability 4, 413-478.
    • (1967) Journal of Applied Probability , vol.4 , pp. 413-478
    • McQuarrie, D.A.1
  • 17
    • 0002841968 scopus 로고
    • A new approach to maximum likelihood estimation for stochastic differential equations based on discrete observations
    • Pedersen, A. (1995). A new approach to maximum likelihood estimation for stochastic differential equations based on discrete observations. Scandinavian Journal of Statistics 1995, 55-71.
    • (1995) Scandinavian Journal of Statistics , vol.1995 , pp. 55-71
    • Pedersen, A.1
  • 19
    • 10244252366 scopus 로고    scopus 로고
    • On inference for partially observed nonlinear diffusion models using the Metropolis-Hastings algorithm
    • Roberts, G. O. and Stramer, O. (2001). On inference for partially observed nonlinear diffusion models using the Metropolis-Hastings algorithm. Biometrika 88, 603-621.
    • (2001) Biometrika , vol.88 , pp. 603-621
    • Roberts, G.O.1    Stramer, O.2
  • 20
    • 0030211187 scopus 로고    scopus 로고
    • Stochastic simulation of coupled reaction-diffusion processes
    • Stundzia, A. B. and Lumsden, C. J. (1996). Stochastic simulation of coupled reaction-diffusion processes. Journal of Computational Physics 127, 196-207.
    • (1996) Journal of Computational Physics , vol.127 , pp. 196-207
    • Stundzia, A.B.1    Lumsden, C.J.2
  • 22
    • 0000576595 scopus 로고
    • Markov chains for exploring posterior distributions
    • Tierney, L. (1994). Markov chains for exploring posterior distributions (with discussion). Annals of Statistics 22, 1701-1762.
    • (1994) Annals of Statistics , vol.22 , pp. 1701-1762
    • Tierney, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.