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Volumn 122, Issue 4, 2012, Pages 1332-1368

Particle filters with random resampling times

Author keywords

Central limit theorem; Coefficient of variation; Effective sample size; Filtering; Particle filters; Random times; Resampling; Resampling times; Sequential Monte Carlo methods; Soft maximum; Stochastic partial differential equation; Zakai equation

Indexed keywords

CENTRAL LIMIT THEOREM; COEFFICIENT OF VARIATION; PARTICLE FILTER; RANDOM TIMES; RESAMPLING; SAMPLE SIZES; SOFT MAXIMUM; STOCHASTIC PARTIAL DIFFERENTIAL EQUATION; ZAKAI EQUATION;

EID: 84857991109     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2011.12.012     Document Type: Article
Times cited : (23)

References (25)
  • 3
    • 0031256242 scopus 로고    scopus 로고
    • Nonlinear filtering and measure-valued processes
    • 0178-8051
    • D. Crisan, and T. Lyons Nonlinear filtering and measure-valued processes Probability Theory and Related Fields 0178-8051 109 2 1997 217 244
    • (1997) Probability Theory and Related Fields , vol.109 , Issue.2 , pp. 217-244
    • Crisan, D.1    Lyons, T.2
  • 8
    • 0001460136 scopus 로고    scopus 로고
    • On sequential Monte Carlo sampling methods for Bayesian filtering
    • 0960-3174 10.1023/A:1008935410038
    • A. Doucet, S. Godsill, and C. Andrieu On sequential Monte Carlo sampling methods for Bayesian filtering Statistics and Computing 0960-3174 10 3 2000 197 208 10.1023/A:1008935410038
    • (2000) Statistics and Computing , vol.10 , Issue.3 , pp. 197-208
    • Doucet, A.1    Godsill, S.2    Andrieu, C.3
  • 10
    • 0029408930 scopus 로고
    • Bayesian state estimation for tracking and guidance using the bootstrap filter
    • N.J. Gordon, D.J. Salmond, and C. Ewing Bayesian state estimation for tracking and guidance using the bootstrap filter Journal of Guidance, Control, and Dynamics 18 6 1995 1434 1443
    • (1995) Journal of Guidance, Control, and Dynamics , vol.18 , Issue.6 , pp. 1434-1443
    • Gordon, N.J.1    Salmond, D.J.2    Ewing, C.3
  • 12
    • 21344458535 scopus 로고    scopus 로고
    • Metropolized independent sampling with comparisons to rejection sampling and importance sampling
    • S.L. Jun Metropolized independent sampling with comparisons to rejection sampling and importance sampling Statistics and Computing 6 1996 113 119
    • (1996) Statistics and Computing , vol.6 , pp. 113-119
    • Jun, S.L.1
  • 14
    • 0030304310 scopus 로고    scopus 로고
    • Monte Carlo filter and smoother for non-Gaussian nonlinear state space models
    • 10618600
    • G. Kitagawa Monte Carlo filter and smoother for non-Gaussian nonlinear state space models Journal of Computational and Graphical Statistics 10618600 5 1 1996 1 25 http://www.jstor.org/stable/1390750
    • (1996) Journal of Computational and Graphical Statistics , vol.5 , Issue.1 , pp. 1-25
    • Kitagawa, G.1
  • 15
    • 84950943564 scopus 로고
    • Sequential imputations and Bayesian missing data problems
    • 01621459
    • A. Kong, J.S. Liu, and W.H. Wong Sequential imputations and Bayesian missing data problems Journal of the American Statistical Association 01621459 89 425 1994 278 288 http://www.jstor.org/stable/2291224
    • (1994) Journal of the American Statistical Association , vol.89 , Issue.425 , pp. 278-288
    • Kong, A.1    Liu, J.S.2    Wong, W.H.3
  • 16
    • 34547668507 scopus 로고    scopus 로고
    • The Yamada-Watanabe-Engelbert theorem for general stochastic equations and inequalities
    • 1083-6489
    • T.G. Kurtz The Yamada-Watanabe-Engelbert theorem for general stochastic equations and inequalities Electronic Journal of Probability 1083-6489 12 2007 951 965
    • (2007) Electronic Journal of Probability , vol.12 , pp. 951-965
    • Kurtz, T.G.1
  • 17
    • 79955481954 scopus 로고    scopus 로고
    • A stochastic evolution equation arising from the fluctuations of a class of interacting particle systems
    • 1539-6746
    • T.G. Kurtz, and J. Xiong A stochastic evolution equation arising from the fluctuations of a class of interacting particle systems Communications in Mathematical Sciences 1539-6746 2 3 2004 325 358 http://projecteuclid.org/ getRecord?id=euclid.cms/1109868725
    • (2004) Communications in Mathematical Sciences , vol.2 , Issue.3 , pp. 325-358
    • Kurtz, T.G.1    Xiong, J.2
  • 18
    • 0035591096 scopus 로고    scopus 로고
    • On uniqueness of solutions for the stochastic differential equations of nonlinear filtering
    • 1050-5164 10.1214/aoap/998926990
    • V.M. Lucic, and A.J. Heunis On uniqueness of solutions for the stochastic differential equations of nonlinear filtering The Annals of Applied Probability 1050-5164 11 1 2001 182 209 10.1214/aoap/998926990 http://dx.doi.org/10.1214/ aoap/998926990
    • (2001) The Annals of Applied Probability , vol.11 , Issue.1 , pp. 182-209
    • Lucic, V.M.1    Heunis, A.J.2
  • 20
    • 0003522826 scopus 로고    scopus 로고
    • second ed. Stochastic Modelling and Applied Probability Springer-Verlag Berlin 3-540-00313-4 Version 2.1, corrected third printing
    • P.E. Protter Stochastic Integration and Differential Equations second ed. Stochastic Modelling and Applied Probability vol. 21 2005 Springer-Verlag Berlin 3-540-00313-4 Version 2.1, corrected third printing
    • (2005) Stochastic Integration and Differential Equations , vol.21
    • Protter, P.E.1
  • 21
    • 47649104713 scopus 로고    scopus 로고
    • Yamada-Watanabe theorem for stochastic evolution equations in
    • M. Rckner, B. Schmuland, and X. Zhang Yamada-Watanabe theorem for stochastic evolution equations in Condensed Matter Physics 11 2(54) 2008 247 259
    • (2008) Condensed Matter Physics , vol.11 , Issue.2-54 , pp. 247-259
    • Rckner, M.1    Schmuland, B.2    Zhang, X.3
  • 22
    • 0002770407 scopus 로고
    • A criterion of convergence of measure-valued processes: Application to measure branching processes
    • 0090-9491
    • S. Roelly-Coppoletta A criterion of convergence of measure-valued processes: application to measure branching processes Stochastics 0090-9491 17 1-2 1986 43 65
    • (1986) Stochastics , vol.17 , Issue.12 , pp. 43-65
    • Roelly-Coppoletta, S.1
  • 23
    • 0003617670 scopus 로고    scopus 로고
    • Cambridge Mathematical Library, Cambridge University Press Cambridge 0-521-77594-9 Foundations, Reprint of the second 1994 edition
    • L.C.G. Rogers, and D. Williams Diffusions, Markov Processes, and Martingales vol. 1 2000 Cambridge Mathematical Library, Cambridge University Press Cambridge 0-521-77594-9 Foundations, Reprint of the second 1994 edition
    • (2000) Diffusions, Markov Processes, and Martingales , vol.1
    • Rogers, L.C.G.1    Williams, D.2
  • 24
    • 0004320425 scopus 로고    scopus 로고
    • second ed. Cambridge University Press Cambridge 0-521-83344-2 ISBN: 0-521-53428-3
    • D. Stirzaker Elementary Probability second ed. 2003 Cambridge University Press Cambridge 0-521-83344-2 ISBN: 0-521-53428-3
    • (2003) Elementary Probability
    • Stirzaker, D.1
  • 25
    • 0002491865 scopus 로고
    • Sur l'équivalence d'équations différentielles stochastiques valeurs mesures intervenant dans le filtrage markovien non linéaire
    • 0020-2347
    • J. Szpirglas Sur l'équivalence d'équations différentielles stochastiques valeurs mesures intervenant dans le filtrage markovien non linéaire Annales de l'Institut Henri Poincaré Section B (NS) 0020-2347 14 1 1978 33 59
    • (1978) Annales de l'Institut Henri Poincaré Section B (NS) , vol.14 , Issue.1 , pp. 33-59
    • Szpirglas, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.