메뉴 건너뛰기




Volumn 7, Issue 2, 2001, Pages 267-298

Adaptive estimation of the spectrum of a stationary Gaussian sequence

Author keywords

Adaptive estimation; Long memory process; Penalty function; Projection estimator; Stationary sequence

Indexed keywords


EID: 33749836490     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.2307/3318739     Document Type: Article
Times cited : (28)

References (31)
  • 2
    • 33749831231 scopus 로고
    • The Statistical Analysis of Time Series
    • Anderson, T.W. (1971) The Statistical Analysis of Time Series. New York: Wiley.
    • (1971) New York: Wiley.
    • Anderson, T.W.1
  • 3
    • 33749867205 scopus 로고    scopus 로고
    • Model selection for (auto-)regression with dependent data
    • Baraud, Y., Comte, F. and Viennet, G. (1999) Model selection for (auto-)regression with dependent data. Working paper no. 9929, Centre de Recherche en Économie et Statistique.
    • (1999) Working Paper No. , vol.9929
    • Baraud, Y.1    Comte, F.2    Viennet, G.3
  • 5
    • 0006037554 scopus 로고
    • Rate of uniform convergence of statistical estimators of spectral density in spaces of differentiable functions
    • Bentkus, R. (1985) Rate of uniform convergence of statistical estimators of spectral density in spaces of differentiable functions. Lithuanian Math. J., 25, 209-219.
    • (1985) Lithuanian Math. J. , vol.25 , pp. 209-219
    • Bentkus, R.1
  • 6
    • 2342515968 scopus 로고
    • Large deviations for the spectral estimate of a stationary Gaussian sequence
    • Bentkus, R. and Rudzkis, R. (1976) Large deviations for the spectral estimate of a stationary Gaussian sequence. Lithuanian Math. J., 16', 519-529.
    • (1976) Lithuanian Math. J. , vol.16 , pp. 519-529
    • Bentkus, R.1    Rudzkis, R.2
  • 8
    • 0000492892 scopus 로고    scopus 로고
    • Minimum contrast estimators on sieves: Exponential bounds and rates of convergence
    • Birgé, L. and Massart, P. (1998) Minimum contrast estimators on sieves: exponential bounds and rates of convergence. Bernoulli, 4, 329-375.
    • (1998) Bernoulli , vol.4 , pp. 329-375
    • Birgé, L.1    Massart, P.2
  • 9
    • 0034360452 scopus 로고    scopus 로고
    • An adaptive compression algorithm in Besov spaces
    • Birgé, L. and Massart, P. (2000) An adaptive compression algorithm in Besov spaces. Constr. Approx., 16, 1-36.
    • (2000) Constr. Approx. , vol.16 , pp. 1-36
    • Birgé, L.1    Massart, P.2
  • 11
    • 0000610863 scopus 로고
    • Piecewise polynomials approximation of functions of the classes Wp
    • Birman, M.S. and Solomjak, M.Z. (1967) Piecewise polynomials approximation of functions of the classes Wp. Mat. Sb., 73, 295-317.
    • (1967) Mat. Sb. , vol.73 , pp. 295-317
    • Birman, M.S.1    Solomjak, M.Z.2
  • 13
    • 33749826611 scopus 로고    scopus 로고
    • Adaptive estimation of mean and volatility functions in (auto-)regressive models
    • Comte, F. and Rozenholc, Y. (2000) Adaptive estimation of mean and volatility functions in (auto-)regressive models. In revision for Stochastic Process. Appl.
    • (2000) In Revision for Stochastic Process. Appl.
    • Comte, F.1    Rozenholc, Y.2
  • 15
    • 0001318609 scopus 로고
    • Efficient parameter estimation for self-similar processes
    • Dahlhaus, R. (1989) Efficient parameter estimation for self-similar processes. Ann. Statist., 17, 1749-1766.
    • (1989) Ann. Statist. , vol.17 , pp. 1749-1766
    • Dahlhaus, R.1
  • 17
    • 0015728456 scopus 로고
    • Asymptotic inference in stationary Gaussian time-series
    • Davies, R.B. (1973) Asymptotic inference in stationary Gaussian time-series. Adv. Appl. Probab., 5, 469-497.
    • (1973) Adv. Appl. Probab. , vol.5 , pp. 469-497
    • Davies, R.B.1
  • 19
    • 0041958932 scopus 로고
    • Ideal spatial adaptation via wavelet shrinkage
    • Donoho, D.L. and Johnstone, I.M. (1994) Ideal spatial adaptation via wavelet shrinkage. Biometrika, 81, 425-455.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.L.1    Johnstone, I.M.2
  • 20
    • 0032334093 scopus 로고    scopus 로고
    • Minimax estimation via wavelet shrinkage
    • Donoho, D.L. and Johnstone, I.M. (1998) Minimax estimation via wavelet shrinkage. Ann. Statist., 26, 879-921.
    • (1998) Ann. Statist. , vol.26 , pp. 879-921
    • Donoho, D.L.1    Johnstone, I.M.2
  • 21
    • 0032386481 scopus 로고    scopus 로고
    • Data-driven estimation of the spectral density
    • Efromovich, S. (1998) Data-driven estimation of the spectral density. J. Amer. Statist. Assoc., 92, 762-769.
    • (1998) J. Amer. Statist. Assoc. , vol.92 , pp. 762-769
    • Efromovich, S.1
  • 22
    • 0002188727 scopus 로고
    • Large sample properties of parameter estimates for strongly dependent stationary Gaussian time series
    • Fox, R. and Taqqu, M.S. (1986) Large sample properties of parameter estimates for strongly dependent stationary Gaussian time series. Ann. Statist., 14, 517-532.
    • (1986) Ann. Statist. , vol.14 , pp. 517-532
    • Fox, R.1    Taqqu, M.S.2
  • 23
    • 0002520515 scopus 로고
    • Nonparametric estimation of smooth spectral densities of Gaussian stationary sequences, Theory Probab
    • Gobulev, G.K. (1993) Nonparametric estimation of smooth spectral densities of Gaussian stationary sequences, Theory Probab. Appl., 38, 630-639
    • (1993) Appl. , vol.38 , pp. 630-639
    • Gobulev, G.K.1
  • 24
    • 0001485314 scopus 로고
    • Nonparametric regression with long-range dependence, Stochastic process
    • Hall, P. and Hart, J.D. (1990) Nonparametric regression with long-range dependence, Stochastic process. Appl., 36, 339-351.
    • (1990) Appl. , vol.36 , pp. 339-351
    • Hall, P.1    Hart, J.D.2
  • 27
    • 0001786009 scopus 로고    scopus 로고
    • Spectral density estimation via nonlinear wavelet methods for stationary non-Gaussian time series, J
    • Neumann, M.H. (1996) Spectral density estimation via nonlinear wavelet methods for stationary non-Gaussian time series, J. Time Ser. Anal., 17, 601-633.
    • (1996) Time Ser. Anal. , vol.17 , pp. 601-633
    • Neumann, M.H.1
  • 29
    • 33749827156 scopus 로고    scopus 로고
    • Estimation adaptative de la densité spectrale d'un processus faiblement ou fortement dépendant
    • Soulier, P. (1999). Estimation adaptative de la densité spectrale d'un processus faiblement ou fortement dépendant. Preprint, Université d'Evry.
    • (1999) Preprint, Université D'Evry.
    • Soulier, P.1
  • 30
    • 0001555809 scopus 로고
    • Minimum contrast estimation for spectral densities of stationary processes
    • Taniguchi, M. (1987) Minimum contrast estimation for spectral densities of stationary processes. J. Roy. Statist. Soc. Ser. B, 49, 315-325.
    • (1987) J. Roy. Statist. Soc. Ser. B , vol.49 , pp. 315-325
    • Taniguchi, M.1
  • 31
    • 0001413175 scopus 로고
    • The analysis of multiple stationary time series
    • Whittle, P. (1953) The analysis of multiple stationary time series. J. Roy. Statist. Soc. Ser. B, 15, 125-139.
    • (1953) J. Roy. Statist. Soc. Ser. B , vol.15 , pp. 125-139
    • Whittle, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.