메뉴 건너뛰기




Volumn 12, Issue 2, 2006, Pages 221-249

Selecting models with different spectral density matrix structures by the cross-validated log likelihood criterion

Author keywords

Conditional independence; Consistency; Graphical model; Kullback leibler divergence; Model selection; Multivariate time series; Periodogram; Spectral density matrix

Indexed keywords


EID: 33745622264     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/bj/1145993973     Document Type: Article
Times cited : (6)

References (27)
  • 1
    • 0016355478 scopus 로고
    • A new look at statistical model identification
    • Akaike, H. (1974) A new look at statistical model identification. IEEE Trans. Automat. Control, 19, 716-723.
    • (1974) IEEE Trans. Automat. Control , vol.19 , pp. 716-723
    • Akaike, H.1
  • 2
    • 84986833274 scopus 로고
    • Determining the bandwidth of a kernel spectrum estimate
    • Beltrao, K.I. and Bloomfield, P. (1987) Determining the bandwidth of a kernel spectrum estimate. J. Time Ser. Anal., 8, 21-38.
    • (1987) J. Time Ser. Anal , vol.8 , pp. 21-38
    • Beltrao, K.I.1    Bloomfield, P.2
  • 5
    • 33947368400 scopus 로고    scopus 로고
    • A note on time-reversibility of multivariate linear processes
    • Technical Report 344, Department of Statistics and Actuarial Research, University of Iowa, Iowa City
    • Chan, K.S., Ho, L.-H. and Tong, H. (2005) A note on time-reversibility of multivariate linear processes. Technical Report 344, Department of Statistics and Actuarial Research, University of Iowa, Iowa City.
    • (2005)
    • Chan, K.S.1    Ho, L.-H.2    Tong, H.3
  • 6
    • 0000859197 scopus 로고
    • On consistent nonparametric order determination and chaos
    • Cheng, B. and Tong, H. (1992) On consistent nonparametric order determination and chaos. J. Roy. Statist. Soc. Ser. B, 54, 427-449.
    • (1992) J. Roy. Statist. Soc. Ser. B , vol.54 , pp. 427-449
    • Cheng, B.1    Tong, H.2
  • 7
    • 0034354940 scopus 로고    scopus 로고
    • Graphical interaction models for multivariate time series
    • Dahlhaus, R. (2000) Graphical interaction models for multivariate time series. Metrika, 51, 151-172.
    • (2000) Metrika , vol.51 , pp. 151-172
    • Dahlhaus, R.1
  • 9
    • 0001027921 scopus 로고
    • A central limit theorem for parameter estimation in stationary vector time series and its application to models for a signal observed white noise
    • Dunsmuir, W. (1979) A central limit theorem for parameter estimation in stationary vector time series and its application to models for a signal observed white noise. Ann. Statist., 7, 490-506.
    • (1979) Ann. Statist , vol.7 , pp. 490-506
    • Dunsmuir, W.1
  • 10
    • 84909719647 scopus 로고
    • How far are automatically chosen regression smoothing parameters from their optimum?
    • Härdle, W., Hall, P. and Marron, J.S. (1988) How far are automatically chosen regression smoothing parameters from their optimum? J. Amer. Statist. Assoc., 83, 86-95.
    • (1988) J. Amer. Statist. Assoc , vol.83 , pp. 86-95
    • Härdle, W.1    Hall, P.2    Marron, J.S.3
  • 11
    • 0001917942 scopus 로고
    • Space-time modelling with long-memory dependence: Assessing Ireland's wind power resource
    • Haslett, J. and Raftery, A.E. (1989) Space-time modelling with long-memory dependence: Assessing Ireland's wind power resource. Appl. Statist., 38, 1-50.
    • (1989) Appl. Statist , vol.38 , pp. 1-50
    • Haslett, J.1    Raftery, A.E.2
  • 12
    • 0031491929 scopus 로고    scopus 로고
    • A limit theory for long-range depenence and statistical inference on related models
    • Hosoya, Y. (1997) A limit theory for long-range depenence and statistical inference on related models. Ann. Statist., 25, 105-137.
    • (1997) Ann. Statist , vol.25 , pp. 105-137
    • Hosoya, Y.1
  • 13
    • 0002399008 scopus 로고
    • Data-driven choice of a spectrum estimate: Extending the cross-validation methods
    • Hurvich, C.M. (1985) Data-driven choice of a spectrum estimate: Extending the cross-validation methods. J. Amer. Statist. Assoc., 80, 933-940.
    • (1985) J. Amer. Statist. Assoc , vol.80 , pp. 933-940
    • Hurvich, C.M.1
  • 14
    • 70349119250 scopus 로고
    • Regression and time series model selection in small samples
    • Hurvich, C.M. and Tsai, C.L. (1989) Regression and time series model selection in small samples. Biometrika, 76, 297-307.
    • (1989) Biometrika , vol.76 , pp. 297-307
    • Hurvich, C.M.1    Tsai, C.L.2
  • 15
    • 84981467407 scopus 로고
    • The estimation of the order of an autoregression using recursive residuals and cross-validation
    • Kavalieris, L. (1989) The estimation of the order of an autoregression using recursive residuals and cross-validation. J. Time Ser. Anal., 10, 271-281.
    • (1989) J. Time Ser. Anal , vol.10 , pp. 271-281
    • Kavalieris, L.1
  • 18
    • 0003071986 scopus 로고
    • The use of time series models and methods in the analysis of agricultural fields trials
    • Martin, R.J. (1990) The use of time series models and methods in the analysis of agricultural fields trials. Commun. Statist. Theory Methods, 19, 55-81.
    • (1990) Commun. Statist. Theory Methods , vol.19 , pp. 55-81
    • Martin, R.J.1
  • 19
    • 3042790253 scopus 로고    scopus 로고
    • On testing for separable correlations of multivariate time series
    • Matsuda, Y. and Yajima, Y. (2004) On testing for separable correlations of multivariate time series. J. Time Ser. Anal., 25, 501-528.
    • (2004) J. Time Ser. Anal , vol.25 , pp. 501-528
    • Matsuda, Y.1    Yajima, Y.2
  • 21
    • 21144474350 scopus 로고
    • Linear model selection by cross-validation
    • Shao, J. (1993) Linear model selection by cross-validation. J. Amer. Statist. Assoc., 88, 486-494.
    • (1993) J. Amer. Statist. Assoc , vol.88 , pp. 486-494
    • Shao, J.1
  • 22
    • 0001314395 scopus 로고
    • Asymptotically efficient selection of the order of the model for estimating parameters of a linear process
    • Shibata, R. (1980) Asymptotically efficient selection of the order of the model for estimating parameters of a linear process. Ann. Statist., 8, 147-164.
    • (1980) Ann. Statist , vol.8 , pp. 147-164
    • Shibata, R.1
  • 23
    • 0001568882 scopus 로고
    • Gaussian Markov distributions over finite graphs
    • Speed, T.P. and Kiiveri, H. (1986) Gaussian Markov distributions over finite graphs. Ann. Statist., 14, 138-150.
    • (1986) Ann. Statist , vol.14 , pp. 138-150
    • Speed, T.P.1    Kiiveri, H.2
  • 24
    • 0002215150 scopus 로고
    • Fitting a covariance selection model to a matrix. Algorithm AS105
    • Wermuth, N. and Scheldt, E. (1977) Fitting a covariance selection model to a matrix. Algorithm AS105. Appl. Statist., 26, 88-92.
    • (1977) Appl. Statist , vol.26 , pp. 88-92
    • Wermuth, N.1    Scheldt, E.2
  • 25
    • 33750045722 scopus 로고    scopus 로고
    • Cumulative effects of air pollution on public health
    • To appear
    • Xia, Y. and Tong, H. (2005) Cumulative effects of air pollution on public health. Statistics in Medicine. To appear.
    • (2005) Statistics in Medicine
    • Xia, Y.1    Tong, H.2
  • 26
    • 0036428498 scopus 로고    scopus 로고
    • An adaptive estimation of dimension reduction space
    • Xia, Y., Tong, H., Li, W.K. and Zhu, L. (2002) An adaptive estimation of dimension reduction space. J. Roy. Statist. Soc. Ser. B, 64, 363-410.
    • (2002) J. Roy. Statist. Soc. Ser. B , vol.64 , pp. 363-410
    • Xia, Y.1    Tong, H.2    Li, W.K.3    Zhu, L.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.