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Volumn 18, Issue 6, 2000, Pages 871-900

A family of minimax rates for density estimators in continuous time

Author keywords

Continuous time process; Intermediate rate; Kernel density estimator; Minimax rate; Nonparametric estimation

Indexed keywords


EID: 0034339907     PISSN: 07362994     EISSN: None     Source Type: Journal    
DOI: 10.1080/07362990008809702     Document Type: Article
Times cited : (11)

References (24)
  • 1
    • 0000741389 scopus 로고
    • Nonparametric identification for diffusion processes
    • G. Banon, Nonparametric identification for diffusion processes, SIAM J. Control Optim., 16, 1978, 380-395.
    • (1978) SIAM J. Control Optim. , vol.16 , pp. 380-395
    • Banon, G.1
  • 2
    • 0002262949 scopus 로고
    • Sur l'estimation récurrente de la densité et de sa dérivée pour un processus de markov
    • G. Banon and H.T. Nguyen, Sur l'estimation récurrente de la densité et de sa dérivée pour un processus de Markov, C. R. Acad. Sci. Paris Sér. A Math., 286, 1978, 691-694.
    • (1978) C. R. Acad. Sci. Paris Sér. A Math. , vol.286 , pp. 691-694
    • Banon, G.1    Nguyen, H.T.2
  • 3
    • 0019610554 scopus 로고
    • Recursive estimation in diffusion model
    • G. Banon and H.T. Nguyen, H.T., Recursive estimation in diffusion model, SIAM J. Control Optim., 10, 1981, 676-685.
    • (1981) SIAM J. Control Optim. , vol.10 , pp. 676-685
    • Banon, G.1    Nguyen, H.T.2    T, H.3
  • 5
    • 0031591132 scopus 로고    scopus 로고
    • Accurate rates of density estimators for continuous time processes
    • D. Blanke and D. Bosq, Accurate rates of density estimators for continuous time processes, Statist. Probab. Lett., 33, 1997, 185-191.
    • (1997) Statist. Probab. Lett. , vol.33 , pp. 185-191
    • Blanke, D.1    Bosq, D.2
  • 6
    • 0001119476 scopus 로고
    • Vitesses optimales et superoptimales des estimateurs fonctionnels pour les processus à temps continu
    • D. Bosq, Vitesses optimales et superoptimales des estimateurs fonctionnels pour les processus à temps continu, C. R. Acad. Sci. Paris Sér. I Math., 317, 1993, 1075-1078.
    • (1993) C. R. Acad. Sci. Paris Sér. I Math. , vol.317 , pp. 1075-1078
    • Bosq, D.1
  • 7
    • 0000732890 scopus 로고
    • Sur le comportement exotique de l'estimateur à noyau de la densité marginale d'un processus à temps continu
    • D. Bosq, Sur le comportement exotique de l'estimateur à noyau de la densité marginale d'un processus à temps continu, C. R. Acad. Sci. Paris Sér. I Math., 320, 1995, 369-372.
    • (1995) C. R. Acad. Sci. Paris Sér. I Math. , vol.320 , pp. 369-372
    • Bosq, D.1
  • 8
    • 0001889096 scopus 로고    scopus 로고
    • Nonparametric statistics for stochastic processes. Estimation and prediction
    • New-York: Springer-Verlag
    • D. Bosq, Nonparametric Statistics for Stochastic Processes. Estimation and Prediction, Lecture Notes in Statistics 110, New-York: Springer-Verlag, 1996.
    • (1996) Lecture Notes in Statistics , pp. 110
    • Bosq, D.1
  • 9
    • 0031529178 scopus 로고    scopus 로고
    • Parametric rates of nonparametric estimators and predictors for continuous time processes
    • D. Bosq, Parametric rates of nonparametric estimators and predictors for continuous time processes, Ann. Statist., 25, 3, 1997, 982-1000.
    • (1997) Ann. Statist. , vol.25 , Issue.3 , pp. 982-1000
    • Bosq, D.1
  • 10
    • 0842277596 scopus 로고    scopus 로고
    • Minimax rates of density estimators for continuous time processes
    • D. Bosq, Minimax rates of density estimators for continuous time processes, to appear in Sankhya Ser. A, 1998.
    • (1998) Sankhya Ser. A
    • Bosq, D.1
  • 11
    • 38249043318 scopus 로고
    • On smoothed probability density estimation for stationary processes
    • J.V. Castellana and M.R. Leadbetter, On smoothed probability density estimation for stationary processes, Stochastic Process. Appl., 21, 1986, 179-193.
    • (1986) Stochastic Process. Appl. , vol.21 , pp. 179-193
    • Castellana, J.V.1    Leadbetter, M.R.2
  • 12
    • 0001877396 scopus 로고
    • Nonparametric regression and prediction for continuous time processes
    • N. Cheze-Payaud, Nonparametric regression and prediction for continuous time processes, Publ. Inst. Stat. Univ. Paris, 38, 1994, 37-58.
    • (1994) Publ. Inst. Stat. Univ. Paris , vol.38 , pp. 37-58
    • Cheze-Payaud, N.1
  • 13
    • 0040795060 scopus 로고
    • Sur l'estimation des densités d'un processus stationnaire à temps continu
    • fasc.
    • M. Delecroix, Sur l'estimation des densités d'un processus stationnaire à temps continu, Publ. Inst. Stat. Univ. Paris, 25, 1980, fasc. 1-2, 17-39.
    • (1980) Publ. Inst. Stat. Univ. Paris , vol.25 , pp. 1-2
    • Delecroix, M.1
  • 14
    • 0001419823 scopus 로고
    • On the best obtainable asymptotic rates of convergence in estimation of a density function at a point
    • R. Farrel, On the best obtainable asymptotic rates of convergence in estimation of a density function at a point, Ann. Math. Stat., 43, 1972, 170-180.
    • (1972) Ann. Math. Stat. , vol.43 , pp. 170-180
    • Farrel, R.1
  • 16
    • 0002184460 scopus 로고
    • On density estimation by the observations of ergodic diffusion process
    • Y.A. Kutoyants, On density estimation by the observations of ergodic diffusion process, Preprint, Univ. du Maine et d'Angers, 1995.
    • (1995) Preprint, Univ. du Maine et D'angers
    • Kutoyants, Y.A.1
  • 17
    • 0031569253 scopus 로고    scopus 로고
    • Some problems of nonparametric estimation by observations of ergodic diffusion processes
    • Y.A. Kutoyants, Some problems of nonparametric estimation by observations of ergodic diffusion processes, Statist. Probab. Lett., 32, 1997, 311-320.
    • (1997) Statist. Probab. Lett. , vol.32 , pp. 311-320
    • Kutoyants, Y.A.1
  • 18
    • 0002104672 scopus 로고    scopus 로고
    • On semiparametric estimation for ergodic diffusion
    • Y.A. Kutoyants, On semiparametric estimation for ergodic diffusion, Preprint, 1997.
    • (1997) Preprint
    • Kutoyants, Y.A.1
  • 19
    • 0001355775 scopus 로고
    • Wavelet density estimation of a continuous-time process and application to diffusion process
    • F. Leblanc, Wavelet density estimation of a continuous-time process and application to diffusion process, C. R. Acad. Sci. Paris Sér. I Math., 321, 1995, 345-350.
    • (1995) C. R. Acad. Sci. Paris Sér. I Math. , vol.321 , pp. 345-350
    • Leblanc, F.1
  • 20
    • 0000517735 scopus 로고
    • Density estimation in a continuous-time stationary markov process
    • H.T. Nguyen, Density estimation in a continuous-time stationary Markov process, Ann. Statist., 7, 2, 1979, 341-348.
    • (1979) Ann. Statist. , vol.7 , Issue.2 , pp. 341-348
    • Nguyen, H.T.1
  • 21
    • 0000050284 scopus 로고
    • Sur l'utilisation du temps local en statistique des processus
    • H.T. Nguyen and T.D. Pham, Sur l'utilisation du temps local en statistique des processus, C. R. Acad. Sci. Paris Sér. A Math., 290, 1980, 165-168.
    • (1980) C. R. Acad. Sci. Paris Sér. A Math. , vol.290 , pp. 165-168
    • Nguyen, H.T.1    Pham, T.D.2
  • 22
    • 0002281152 scopus 로고
    • Nonparametric estimation for continuous time markov processes via delta-families
    • B.L.S. Prakasa Rao, Nonparametric estimation for continuous time Markov processes via delta-families, Publ. Inst. Stat. Univ. Paris, 24, 1979, 80-97.
    • (1979) Publ. Inst. Stat. Univ. Paris , vol.24 , pp. 80-97
    • Prakasa Rao, B.L.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.