메뉴 건너뛰기




Volumn 1, Issue 1, 2013, Pages 494-521

On disturbance state-space models and the particle marginal metropolis-hastings sampler

Author keywords

Bayesian statistics; Particle filter; Particle Markov chain Monte Carlo; Sequential Monte Carlo; State space model; Unscented Kalman filter

Indexed keywords

KALMAN FILTERS; MONTE CARLO METHODS; STATE SPACE METHODS;

EID: 84904292580     PISSN: None     EISSN: 21662525     Source Type: Journal    
DOI: 10.1137/130915376     Document Type: Article
Times cited : (25)

References (41)
  • 2
    • 33646690994 scopus 로고    scopus 로고
    • Exact and efficient likelihood-based inference for discretely observed diffusion processes (with discussion)
    • A. Beskos, O. Papaspiliopoulos, G. Roberts, and P. Fearnhead, Exact and efficient likelihood-based inference for discretely observed diffusion processes (with discussion), J. Roy. Statist. Soc. Ser. B, 68 (2006), pp. 333–382.
    • (2006) J. Roy. Statist. Soc. Ser. B , vol.68 , pp. 333-382
    • Beskos, A.1    Papaspiliopoulos, O.2    Roberts, G.3    Fearnhead, P.4
  • 3
    • 0032273615 scopus 로고    scopus 로고
    • General methods for monitoring convergence of iterative simulations
    • S. P. Brooks and A. Gelman, General methods for monitoring convergence of iterative simulations, J. Comput. Graph. Statist., 7 (1998), pp. 434–455.
    • (1998) J. Comput. Graph. Statist , vol.7 , pp. 434-455
    • Brooks, S. P.1    Gelman, A.2
  • 7
    • 0028193070 scopus 로고
    • Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte-Carlo methods to forecast error statistics
    • G. Evensen, Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte-Carlo methods to forecast error statistics, J. Geophys. Res. Oceans, 99 (1994), pp. 10143–10162.
    • (1994) J. Geophys. Res. Oceans , vol.99 , pp. 10143-10162
    • Evensen, G.1
  • 8
    • 66849101595 scopus 로고    scopus 로고
    • The ensemble Kalman filter for combined state and parameter estimation
    • G. Evensen, The ensemble Kalman filter for combined state and parameter estimation, IEEE Control Syst. Mag., 29 (2009), pp. 83–104.
    • (2009) IEEE Control Syst. Mag , vol.29 , pp. 83-104
    • Evensen, G.1
  • 11
    • 35549009345 scopus 로고    scopus 로고
    • Bayesian inference for nonlinear multivariate diffusion models observed with error
    • A. Golightly and D. Wilkinson, Bayesian inference for nonlinear multivariate diffusion models observed with error, Comput. Statist. Data Anal., 52 (2008), pp. 1674–1693.
    • (2008) Comput. Statist. Data Anal , vol.52 , pp. 1674-1693
    • Golightly, A.1    Wilkinson, D.2
  • 12
    • 84860901236 scopus 로고    scopus 로고
    • Bayesian parameter inference for stochastic biochemical network models using particle Markov chain Monte Carlo
    • A. Golightly and D. J. Wilkinson, Bayesian parameter inference for stochastic biochemical network models using particle Markov chain Monte Carlo, Interface Focus, 1 (2011), pp. 807–820.
    • (2011) Interface Focus , vol.1 , pp. 807-820
    • Golightly, A.1    Wilkinson, D. J.2
  • 13
    • 0027580559 scopus 로고
    • Novel approach to nonlinear/non-Gaussian Bayesian state estimation
    • N. Gordon, D. Salmond, and A. Smith, Novel approach to nonlinear/non-Gaussian Bayesian state estimation, IEE Proc. F, 140 (1993), pp. 107–113.
    • (1993) IEE Proc. F , vol.140 , pp. 107-113
    • Gordon, N.1    Salmond, D.2    Smith, A.3
  • 14
    • 77956890234 scopus 로고
    • Monte Carlo sampling methods using Markov chains and their applications
    • W. Hastings, Monte Carlo sampling methods using Markov chains and their applications, Biometrika, 57 (1970), pp. 97–109.
    • (1970) Biometrika , vol.57 , pp. 97-109
    • Hastings, W.1
  • 15
    • 0002366911 scopus 로고
    • The functional response of predators to prey density and its role in mimicry and population regulation
    • C. S. Holling, The functional response of predators to prey density and its role in mimicry and population regulation, Mem. Entomology Soc. Canada, 45 (1966), 60.
    • (1966) Mem. Entomology Soc. Canada , vol.45 , pp. 60
    • Holling, C. S.1
  • 16
    • 79955643168 scopus 로고    scopus 로고
    • A Bayesian approach to state and parameter estimation in a phytoplankton-zooplankton model
    • E. Jones, J. Parslow, and L. M. Murray, A Bayesian approach to state and parameter estimation in a phytoplankton-zooplankton model, Australian Meteorological Oceanographic J., 59 (2010), pp. 7–16.
    • (2010) Australian Meteorological Oceanographic J , vol.59 , pp. 7-16
    • Jones, E.1    Parslow, J.2    Murray, L. M.3
  • 18
    • 0032382838 scopus 로고    scopus 로고
    • Markov chain Monte Carlo in practice: A roundtable discussion
    • R. E. Kass, B. P. Carlin, A. Gelman, and R. M. Neal, Markov chain Monte Carlo in practice: A roundtable discussion, Amer. Statist., 52 (1998), pp. 93–100.
    • (1998) Amer. Statist , vol.52 , pp. 93-100
    • Kass, R. E.1    Carlin, B. P.2    Gelman, A.3    Neal, R. M.4
  • 19
    • 0034316651 scopus 로고    scopus 로고
    • Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations
    • C. A. Kennedy, M. H. Carpenter, and R. M. Lewis, Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations, Appl. Numer. Math., 35 (2000), pp. 177–219.
    • (2000) Appl. Numer. Math , vol.35 , pp. 177-219
    • Kennedy, C. A.1    Carpenter, M. H.2    Lewis, R. M.3
  • 20
    • 0030304310 scopus 로고    scopus 로고
    • Monte Carlo filter and smoother for non-Gaussian nonlinear state space models
    • G. Kitagawa, Monte Carlo filter and smoother for non-Gaussian nonlinear state space models, J. Comput. Graph. Statist., 5 (1996), pp. 1–25.
    • (1996) J. Comput. Graph. Statist , vol.5 , pp. 1-25
    • Kitagawa, G.1
  • 22
    • 84878993948 scopus 로고    scopus 로고
    • Lookahead strategies for sequential Monte Carlo
    • M. Lin, R. Chen, and J. S. Liu, Lookahead strategies for sequential Monte Carlo, Statist. Sci., 28 (2013), pp. 69–94.
    • (2013) Statist. Sci , vol.28 , pp. 69-94
    • Lin, M.1    Chen, R.2    Liu, J. S.3
  • 25
    • 82555168166 scopus 로고    scopus 로고
    • GPU acceleration of Runge-Kutta integrators
    • L. M. Murray, GPU acceleration of Runge-Kutta integrators, IEEE Trans. Parallel Distributed Syst., 23 (2012), pp. 94–101.
    • (2012) IEEE Trans. Parallel Distributed Syst , vol.23 , pp. 94-101
    • Murray, L. M.1
  • 26
    • 79951655062 scopus 로고    scopus 로고
    • Particle smoothing in continuous time: A fast approach via density estimation
    • L. M. Murray and A. Storkey, Particle smoothing in continuous time: A fast approach via density estimation, IEEE Trans. Signal Process., 59 (2011), pp. 1017–1026.
    • (2011) IEEE Trans. Signal Process , vol.59 , pp. 1017-1026
    • Murray, L. M.1    Storkey, A.2
  • 27
    • 0001942085 scopus 로고
    • A local linearization approach to nonlinear filtering
    • T. Ozaki, A local linearization approach to nonlinear filtering, Internat. J. Control, 57 (1993), pp. 75–96.
    • (1993) Internat. J. Control , vol.57 , pp. 75-96
    • Ozaki, T.1
  • 28
    • 84878935744 scopus 로고    scopus 로고
    • Bayesian learning and predictability in a stochastic nonlinear dynamical model
    • J. Parslow, N. Cressie, E. P. Campbell, E. Jones, and L. M. Murray, Bayesian learning and predictability in a stochastic nonlinear dynamical model, Ecological Appl., 23 (2013), pp. 679–698.
    • (2013) Ecological Appl , vol.23 , pp. 679-698
    • Parslow, J.1    Cressie, N.2    Campbell, E. P.3    Jones, E.4    Murray, L. M.5
  • 29
    • 1542427941 scopus 로고    scopus 로고
    • Filtering via simulation: Auxiliary particle filters
    • M. Pitt and N. Shephard, Filtering via simulation: Auxiliary particle filters, J. Amer. Statist. Assoc., 94 (1999), pp. 590–599.
    • (1999) J. Amer. Statist. Assoc , vol.94 , pp. 590-599
    • Pitt, M.1    Shephard, N.2
  • 31
    • 84868208864 scopus 로고    scopus 로고
    • On some properties of Markov chain Monte Carlo simulation methods based on the particle filter
    • M. K. Pitt, R. dos Santos Silva, P. Giordani, and R. Kohn, On some properties of Markov chain Monte Carlo simulation methods based on the particle filter, J. Econometrics, 171 (2012), pp. 134–151.
    • (2012) J. Econometrics , vol.171 , pp. 134-151
    • Pitt, M. K.1    dos Santos Silva, R.2    Giordani, P.3    Kohn, R.4
  • 34
    • 10244252366 scopus 로고    scopus 로고
    • On inference for partially observed nonlinear diffusion models using the Metropolis-Hastings algorithm
    • G. O. Roberts and O. Stramer, On inference for partially observed nonlinear diffusion models using the Metropolis-Hastings algorithm, Biometrika, 88 (2001), pp. 603–621.
    • (2001) Biometrika , vol.88 , pp. 603-621
    • Roberts, G. O.1    Stramer, O.2
  • 35
    • 42649142602 scopus 로고    scopus 로고
    • Unscented Rauch-Tung-Striebel smoother
    • S. Särkkä, Unscented Rauch-Tung-Striebel smoother, IEEE Trans. Automat. Control, 53 (2008), pp. 845–849.
    • (2008) IEEE Trans. Automat. Control , vol.53 , pp. 845-849
    • Särkkä, S.1
  • 37
    • 0001962286 scopus 로고
    • Role of predation in ecosystem models
    • J. Steele, Role of predation in ecosystem models, Marine Biol., 35 (1976), pp. 9–11.
    • (1976) Marine Biol , vol.35 , pp. 9-11
    • Steele, J.1
  • 38
    • 0027084524 scopus 로고
    • The role of predation in plankton models
    • J. Steele and E. Henderson, The role of predation in plankton models, J. Plankton Res., 14 (1992), pp. 157–172.
    • (1992) J. Plankton Res , vol.14 , pp. 157-172
    • Steele, J.1    Henderson, E.2
  • 40
    • 0002124649 scopus 로고
    • Variations and fluctuations of the number of individuals in animal species living together
    • McGraw–Hill, New York
    • V. Volterra, Variations and fluctuations of the number of individuals in animal species living together, in Animal Ecology, McGraw–Hill, New York, 1931, pp. 409–448.
    • (1931) Animal Ecology , pp. 409-448
    • Volterra, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.