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On-line nonparametric estimation

  • Autores: R. Khasminskii
  • Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 28, Nº. 1, 2004, págs. 1-8
  • Idioma: inglés
  • Títulos paralelos:
    • Estimación on-line no paramétrica.
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  • Resumen
    • A survey of some recent results on nonparametric on-line estimation is presented. The first result deals with an on-line estimation for a smooth signal S(t) in the classic 'signal plus Gaussian white noise' model. Then an analogous on-line estimator for the regression estimation problem with equidistant design is described and justified. Finally some preliminary results related to the on-line estimation for the diffusion observed process are described.

  • Referencias bibliográficas
    • Chow, P.-L., Khasminskii, R. & Liptser, R.Sh. (1997). Tracking of signal and its derivatives in Gaussian white noise, Stochastic Processes...
    • Chow, P.-L., Khasminskii, R. & Liptser, R.Sh. (2001). On estimation of time dependent spatial signal in Gaussian white noise, Stochastic...
    • Ibragimov, I. & Khasminskii, R. (1980a). Estimation of a signal, its derivatives, and point of maximum for Gaussian observations, Theory...
    • Ibragimov, I. & Khasminskii, R. (1980b). On nonparametric estimation of regression, Soviet Math. Dokl., 21, 810-814.
    • Ibragimov, I. & Khasminskii, R. (1981). Statistical estimation: Asymptotic Theory. Springer Verlag (Russian ed. 1979).
    • Khasminskii, R. & Liptser, R. (2002). Tracking of a smooth regression function, Theory Probability Appl., 47, 3, 567-575.
    • Stone, C. (1980). Optimal rates of convergence for nonparametric estimators, Ann. Statist., 8, 1348-1360.

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