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Volumn 8, Issue 3, 2002, Pages 367-405

Recursive computation of the invariant distribution of a diffusion

Author keywords

Almost sure central limit theorem; Central limit theorem; Diffusion process; Invariant distribution; Numerical probability; Stochastic algorithm

Indexed keywords


EID: 33747362335     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (91)

References (32)
  • 1
    • 0001064056 scopus 로고
    • Stability in distribution for a class of singular diffusions
    • Basak, G.K. and Bhattacharya, R.N. (1992) Stability in distribution for a class of singular diffusions. Ann. Probab., 20, 312-321.
    • (1992) Ann. Probab. , vol.20 , pp. 312-321
    • Basak, G.K.1    Bhattacharya, R.N.2
  • 3
    • 18044404194 scopus 로고    scopus 로고
    • A universal result in almost sure central limit theory
    • Berkes, I. and Csáki, E. (2001) A universal result in almost sure central limit theory. Stochastic Process. Appl., 94, 105-134.
    • (2001) Stochastic Process. Appl. , vol.94 , pp. 105-134
    • Berkes, I.1    Csáki, E.2
  • 4
    • 33747354325 scopus 로고    scopus 로고
    • Validation numérique d'un schéma discret d'estimation de lois invariantes de diffusions browniennes pour un processus uni-dimensionnel d'Ornstein-Uhlenbeck
    • Université de Marne-la-vallée
    • Bignone, L. (1999) Validation numérique d'un schéma discret d'estimation de lois invariantes de diffusions browniennes pour un processus uni-dimensionnel d'Ornstein-Uhlenbeck. Technical report, Université de Marne-la-vallée.
    • (1999) Technical Report
    • Bignone, L.1
  • 5
    • 84976180582 scopus 로고
    • An almost everywhere central limit theorem
    • Brosamler, G.A. (1988) An almost everywhere central limit theorem. Math. Proc. Cambridge Philos. Soc., 104, 561-574.
    • (1988) Math. Proc. Cambridge Philos. Soc. , vol.104 , pp. 561-574
    • Brosamler, G.A.1
  • 6
    • 0000320620 scopus 로고    scopus 로고
    • Version forte du théorème de la limite centrale fonctionnel pour les martingales
    • Chaâbane, F. (1996) Version forte du théorème de la limite centrale fonctionnel pour les martingales. C. R. Acad. Sci. Paris Sér. I Math., 323, 195-198.
    • (1996) C. R. Acad. Sci. Paris Sér. i Math. , vol.323 , pp. 195-198
    • Chaâbane, F.1
  • 8
    • 17844400298 scopus 로고    scopus 로고
    • Théorèmes limites avec poids pour les martingales vectorielles
    • Chaâbane, F. and Maâouia, F. (2000) Théorèmes limites avec poids pour les martingales vectorielles. ESAIM Probab. Statist., 4, 137-190.
    • (2000) ESAIM Probab. Statist. , vol.4 , pp. 137-190
    • Chaâbane, F.1    Maâouia, F.2
  • 9
    • 0010910182 scopus 로고    scopus 로고
    • Versions fortes associées aux théorèmes limites en loi pour les. martingales vectorielles
    • Université de Bizerte, Tunisia
    • Chaâbane, F., Maâouia, F. and Touati, A. (1996) Versions fortes associées aux théorèmes limites en loi pour les. martingales vectorielles. Technical report, Université de Bizerte, Tunisia.
    • (1996) Technical Report
    • Chaâbane, F.1    Maâouia, F.2    Touati, A.3
  • 13
    • 38249038271 scopus 로고
    • Convex invariant means and a pathwise central limit theorem
    • Fisher, A. (1987) Convex invariant means and a pathwise central limit theorem. Adv. Math., 63, 213-246.
    • (1987) Adv. Math. , vol.63 , pp. 213-246
    • Fisher, A.1
  • 14
    • 0033071006 scopus 로고    scopus 로고
    • Convergence rate of some semi-groups to their invariant probability
    • Ganidis, H., Roynette, B. and Simonot, F. (1999) Convergence rate of some semi-groups to their invariant probability. Stochastic Process. Appl., 79, 243-264.
    • (1999) Stochastic Process. Appl. , vol.79 , pp. 243-264
    • Ganidis, H.1    Roynette, B.2    Simonot, F.3
  • 17
    • 0040092170 scopus 로고    scopus 로고
    • The principle of large deviations for the almost everywhere central limit theorem
    • Heck, M.K. (1998) The principle of large deviations for the almost everywhere central limit theorem. Stochastic Process. Appl., 76, 61-76.
    • (1998) Stochastic Process. Appl. , vol.76 , pp. 61-76
    • Heck, M.K.1
  • 19
    • 0001618801 scopus 로고
    • A note on the almost sure central limit theorem
    • Lacey, M.T. and Philip, W. (1990) A note on the almost sure central limit theorem. Statist. Probab. Lett., 9, 201-205.
    • (1990) Statist. Probab. Lett. , vol.9 , pp. 201-205
    • Lacey, M.T.1    Philip, W.2
  • 23
    • 84996132922 scopus 로고    scopus 로고
    • Sur quelques algorithmes récursifs pour les probabilités numériques
    • Pagès, G. (2001) Sur quelques algorithmes récursifs pour les probabilités numériques. ESAIM Probab. Statist., 5, 141-170.
    • (2001) ESAIM Probab. Statist. , vol.5 , pp. 141-170
    • Pagès, G.1
  • 24
    • 0032363716 scopus 로고    scopus 로고
    • Weak convergence rates for stochastic approximation with application to multiple targets and simulated annealing
    • Pelletier, M. (1998) Weak convergence rates for stochastic approximation with application to multiple targets and simulated annealing. Ann. Appl. Probab., 8, 10-44.
    • (1998) Ann. Appl. Probab. , vol.8 , pp. 10-44
    • Pelletier, M.1
  • 25
    • 0013306106 scopus 로고    scopus 로고
    • An almost sure central limit theorem for stochastic algorithms
    • Pelletier, M. (1999) An almost sure central limit theorem for stochastic algorithms. J. Multivariate Anal., 71, 76-93.
    • (1999) J. Multivariate Anal. , vol.71 , pp. 76-93
    • Pelletier, M.1
  • 26
    • 0034462128 scopus 로고    scopus 로고
    • Asymptotic almost sure efficiency of averaged stochastic algorithms
    • Pelletier, M. (2000) Asymptotic almost sure efficiency of averaged stochastic algorithms. SIAM J. Control Optim., 39, 49-72.
    • (2000) SIAM J. Control Optim. , vol.39 , pp. 49-72
    • Pelletier, M.1
  • 27
    • 1542617681 scopus 로고
    • An iterative Monte Carlo scheme for generating Lie group-valued random variables
    • Piccioni, M. and Scarlatti, S. (1994) An iterative Monte Carlo scheme for generating Lie group-valued random variables. Adv. in Appl. Probab., 26, 616-628.
    • (1994) Adv. in Appl. Probab. , vol.26 , pp. 616-628
    • Piccioni, M.1    Scarlatti, S.2
  • 28
    • 84985410727 scopus 로고
    • On strong versions of the central limit theorem
    • Schatte, P. (1988) On strong versions of the central limit theorem. Math. Nachr., 137, 249-256.
    • (1988) Math. Nachr. , vol.137 , pp. 249-256
    • Schatte, P.1
  • 29
    • 33747359067 scopus 로고
    • Exact steady state solution of Fokker-Planck equations in high dimension for a class of non-linear Hamiltonian dissipative dynamical system excited by Gaussian white noise
    • P. Krée and W. Wedig (eds), Lecture Notes in Phys. 451, . Berlin: Springer-Verlag
    • Soize, C. (1995) Exact steady state solution of Fokker-Planck equations in high dimension for a class of non-linear Hamiltonian dissipative dynamical system excited by Gaussian white noise. In P. Krée and W. Wedig (eds), Probabilistic Methods in Applied Physics, Lecture Notes in Phys. 451, pp. 284-309. Berlin: Springer-Verlag.
    • (1995) Probabilistic Methods in Applied Physics , pp. 284-309
    • Soize, C.1
  • 30
    • 0010588720 scopus 로고
    • Second order discretization of stochastic differential systems for the computation of the invariant law
    • Talay, D. (1990) Second order discretization of stochastic differential systems for the computation of the invariant law. Stochastics Stochastics Rep., 29, 13-36.
    • (1990) Stochastics Stochastics Rep. , vol.29 , pp. 13-36
    • Talay, D.1
  • 31
    • 0345275329 scopus 로고    scopus 로고
    • Stochastic Hamiltonian dissipative systems with non globally Lipschitz coefficients: Exponential convergence to the invariant measure and discretization by the implicit Euler scheme
    • To appear
    • Talay, D. (2002) Stochastic Hamiltonian dissipative systems with non globally Lipschitz coefficients: exponential convergence to the invariant measure and discretization by the implicit Euler scheme. Markov Process. Related Fields. To appear.
    • (2002) Markov Process. Related Fields
    • Talay, D.1
  • 32
    • 0003399486 scopus 로고
    • Sur les versions fortes du théorème de la limite centrale
    • Université de Marne-la-vallée
    • Touati, A. (1995) Sur les versions fortes du théorème de la limite centrale. Technical report, Université de Marne-la-vallée.
    • (1995) Technical Report
    • Touati, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.