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Volumn 25, Issue 1, 1997, Pages 1-37

Fitting time series models to nonstationary processes

Author keywords

Evolutionary spectra; Minimum distance estimates; Model selection; Nonstationary processes; Time series

Indexed keywords


EID: 0031518090     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1034276620     Document Type: Article
Times cited : (705)

References (29)
  • 1
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • AKAIKE, H. (1974). A new look at the statistical model identification. IEEE Trans. Automat. Control AC-19 716-722.
    • (1974) IEEE Trans. Automat. Control , vol.AC-19 , pp. 716-722
    • Akaike, H.1
  • 5
    • 84986840377 scopus 로고
    • Spectral analysis with tapered data
    • DAHLHAUS, R. (1983). Spectral analysis with tapered data. J. Time Ser. Anal. 4 163-175.
    • (1983) J. Time Ser. Anal. , vol.4 , pp. 163-175
    • Dahlhaus, R.1
  • 6
    • 0022119222 scopus 로고
    • On a spectral density estimate obtained by averaging periodograms
    • DAHLHAUS, R. (1985). On a spectral density estimate obtained by averaging periodograms. J. Appl. Probab. 22 598-610.
    • (1985) J. Appl. Probab. , vol.22 , pp. 598-610
    • Dahlhaus, R.1
  • 7
    • 0001543378 scopus 로고
    • Small sample effects in time series analysis: A new asymptotic theory and a new estimate
    • DAHLHAUS, R. (1988). Small sample effects in time series analysis: a new asymptotic theory and a new estimate. Ann. Statist. 16 808-841.
    • (1988) Ann. Statist. , vol.16 , pp. 808-841
    • Dahlhaus, R.1
  • 8
    • 0030095346 scopus 로고    scopus 로고
    • On the Kullback-Leibler information divergence of locally stationary processes
    • DAHLHAUS, R. (1996a). On the Kullback-Leibler information divergence of locally stationary processes. Stochastic Process. Appl. 62 139-168.
    • (1996) Stochastic Process. Appl. , vol.62 , pp. 139-168
    • Dahlhaus, R.1
  • 9
    • 0011460348 scopus 로고    scopus 로고
    • Maximum likelihood estimation and model selection for locally stationary processes
    • DAHLHAUS, R. (1996b). Maximum likelihood estimation and model selection for locally stationary processes. J. Nonparametric Statist. 6 171-191.
    • (1996) J. Nonparametric Statist. , vol.6 , pp. 171-191
    • Dahlhaus, R.1
  • 10
    • 0003260218 scopus 로고    scopus 로고
    • Asymptotic statistical inference for nonstationary processes with evolutionary spectra
    • (P. M. Robinson and M. Rosenblatt, eds.) Springer, New York
    • DAHLHAUS, R. (1996c). Asymptotic statistical inference for nonstationary processes with evolutionary spectra. In Athens Conference on Applied Probability and Time Series Analysis (P. M. Robinson and M. Rosenblatt, eds.) 2. Springer, New York.
    • (1996) Athens Conference on Applied Probability and Time Series Analysis , vol.2
    • Dahlhaus, R.1
  • 12
    • 84986769157 scopus 로고
    • On the unbiasedness property of AIC for exact or approximating linear stochastic time series models
    • FINDLEY, D. (1985). On the unbiasedness property of AIC for exact or approximating linear stochastic time series models. J. Time Ser. Anal. 6 229-252.
    • (1985) J. Time Ser. Anal. , vol.6 , pp. 229-252
    • Findley, D.1
  • 14
    • 0020798029 scopus 로고
    • Time-dependent ARMA modeling of nonstationary signals
    • GRENIER, Y. (1983). Time-dependent ARMA modeling of nonstationary signals. IEEE Trans. Acoust. Speech Signal Process. ASSP-31 899-911.
    • (1983) IEEE Trans. Acoust. Speech Signal Process , vol.ASSP-31 , pp. 899-911
    • Grenier, Y.1
  • 15
    • 0000711144 scopus 로고
    • Mixed autoregressive moving-average multivariate processes with time-dependent coefficients
    • HALLIN, M. (1978). Mixed autoregressive moving-average multivariate processes with time-dependent coefficients. J. Multivariate Anal. 8 567-572.
    • (1978) J. Multivariate Anal. , vol.8 , pp. 567-572
    • Hallin, M.1
  • 17
    • 0000963884 scopus 로고
    • A central limit theorem for stationary processes and the parameter estimation of linear processes
    • HOSOYA, Y. and TANIGUCHI, M. (1982). A central limit theorem for stationary processes and the parameter estimation of linear processes. Ann. Statist. 10 132-153.
    • (1982) Ann. Statist. , vol.10 , pp. 132-153
    • Hosoya, Y.1    Taniguchi, M.2
  • 18
    • 0021819062 scopus 로고
    • A smoothness priors time-varying AR coefficient modeling of nonstationary covariance time series
    • KITAGAWA, G. and GERSCH, W. (1985). A smoothness priors time-varying AR coefficient modeling of nonstationary covariance time series. IEEE Trans. Automat. Control. AC-30 48-56.
    • (1985) IEEE Trans. Automat. Control. , vol.AC-30 , pp. 48-56
    • Kitagawa, G.1    Gersch, W.2
  • 22
    • 0031517528 scopus 로고    scopus 로고
    • Wavelet thresholding in anisotropic function classes and application to adaptive estimation of evolutionary spectra
    • NEUMANN, M. H. and VON SACHS, R. (1997). Wavelet thresholding in anisotropic function classes and application to adaptive estimation of evolutionary spectra. Ann. Statist. 25 38-76.
    • (1997) Ann. Statist. , vol.25 , pp. 38-76
    • Neumann, M.H.1    Von Sachs, R.2
  • 23
    • 0001550082 scopus 로고
    • Evolutionary spectra and non-stationary processes
    • PRIESTLEY, M. B. (1965). Evolutionary spectra and non-stationary processes. J. Roy. Statist. Soc. Ser. B 27 204-237.
    • (1965) J. Roy. Statist. Soc. Ser. B , vol.27 , pp. 204-237
    • Priestley, M.B.1
  • 26
    • 0027635388 scopus 로고
    • Optimal data-based kernel estimation of evolutionary spectra
    • RIEDEL, K. S. (1993). Optimal data-based kernel estimation of evolutionary spectra. IEEE Trans. Signal Process. 41 2439-2447.
    • (1993) IEEE Trans. Signal Process , vol.41 , pp. 2439-2447
    • Riedel, K.S.1
  • 27
    • 0000777281 scopus 로고
    • The fitting of nonstationary time series models with time-dependent parameters
    • SUBBA RAO, T. (1970). The fitting of nonstationary time series models with time-dependent parameters. J. Roy. Statist. Soc. Ser. B 32 312-322.
    • (1970) J. Roy. Statist. Soc. Ser. B , vol.32 , pp. 312-322
    • Subba Rao, T.1
  • 28
    • 0000751392 scopus 로고
    • Estimation and information in stationary time series
    • WHITTLE, P. (1953). Estimation and information in stationary time series. Ark. Mat. 2 423-434.
    • (1953) Ark. Mat. , vol.2 , pp. 423-434
    • Whittle, P.1
  • 29
    • 0028667417 scopus 로고
    • Data-based mechanistic modelling and the rainfall-flow nonlinearity
    • YOUNG, P. C. and BEVEN, K. J. (1994). Data-based mechanistic modelling and the rainfall-flow nonlinearity. Environmetrics 5 335-363.
    • (1994) Environmetrics , vol.5 , pp. 335-363
    • Young, P.C.1    Beven, K.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.