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Volumn 86, Issue 3, 1999, Pages 591-604

Subsampling and model selection in time series analysis

Author keywords

Autoregressive model; Mean squared error of prediction; Model selection; Subsampling; Threshold autoregressive model

Indexed keywords


EID: 0011904676     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/86.3.591     Document Type: Article
Times cited : (18)

References (27)
  • 1
    • 0009204651 scopus 로고
    • On the bias in estimates of forecast mean square error
    • ANSLEY, C. F. & NEWBOLD, P. (1981). On the bias in estimates of forecast mean square error. J. Am. Statist. Assoc. 76, 569-78.
    • (1981) J. Am. Statist. Assoc. , vol.76 , pp. 569-578
    • Ansley, C.F.1    Newbold, P.2
  • 2
    • 0000000356 scopus 로고    scopus 로고
    • Second order properties of an extrapolated bootstrap without replacement: The i.i.d. and strong mixing cases
    • BERTAIL, P. (1997). Second order properties of an extrapolated bootstrap without replacement: the i.i.d. and strong mixing cases. Bernoulli 3, 149-79.
    • (1997) Bernoulli , vol.3 , pp. 149-179
    • Bertail, P.1
  • 3
    • 0001323625 scopus 로고
    • Effects of not knowing the order of an autoregressive process on the mean squared error of prediction-I
    • BHANSALI, R. J. (1981). Effects of not knowing the order of an autoregressive process on the mean squared error of prediction-I. J. Am. Statist. Assoc. 76, 588-97.
    • (1981) J. Am. Statist. Assoc. , vol.76 , pp. 588-597
    • Bhansali, R.J.1
  • 4
    • 0039529171 scopus 로고
    • Autoregressive estimation of the prediction mean squared error and an R2 measure: An application
    • Ed. D. Brillinger, P. Caines, J. Geweke, E. Parzen, M. Rosenblatt and M. Taqqu, New York: Springer-Verlag.
    • BHANSALI, R. J. (1992). Autoregressive estimation of the prediction mean squared error and an R2 measure: an application. In New Directions in Time Series Analysis, Part I Ed. D. Brillinger, P. Caines, J. Geweke, E. Parzen, M. Rosenblatt and M. Taqqu, pp.9-24. New York: Springer-Verlag.
    • (1992) In New Directions in Time Series Analysis, Part I , pp. 9-24
    • Bhansali, R.J.1
  • 5
    • 0642310183 scopus 로고    scopus 로고
    • Resampling fewer than n observations: Gains, losses, and remedies for losses
    • BICKEL, P. J., GöTZE, F. & VAN ZWET, W. R. (1997). Resampling fewer than n observations: Gains, losses, and remedies for losses. Statist. Sinica 7, 1-31.
    • (1997) Statist. Sinica , vol.7 , pp. 1-31
    • Bickel, P.J.1    Götze, F.2    Van Zwet, W.R.3
  • 6
    • 0002440886 scopus 로고
    • Bernstein-type large deviations inequalities for partial sums of strong mixing processes
    • BOSQ, D. (1993). Bernstein-type large deviations inequalities for partial sums of strong mixing processes. Statistics 24, 59-70
    • (1993) Statistics , vol.24 , pp. 59-70
    • Bosq, D.1
  • 8
    • 0000514094 scopus 로고
    • The use of subseries values for estimating the variance of a general statistic from a stationary sequence
    • CARLSTEIN, E. (1986). The use of subseries values for estimating the variance of a general statistic from a stationary sequence. Ann. Statist. 14, 1171-9.
    • (1986) Ann. Statist. , vol.14 , pp. 1171-1179
    • Carlstein, E.1
  • 9
    • 0000448413 scopus 로고
    • The invariance principle for stationary processes
    • DAVYDOV, Y. A. (1970). The invariance principle for stationary processes. Theory Prob. Applic. 14, 487-98.
    • (1970) Theory Prob. Applic. , vol.14 , pp. 487-498
    • Davydov, Y.A.1
  • 11
    • 84908817300 scopus 로고
    • Properties of predictors for autoregressive time series
    • FULLER, W. A. & HASZA, D. P. (1981). Properties of predictors for autoregressive time series. J. Am. Statist. Assoc. 76, 155-61.
    • (1981) J. Am. Statist. Assoc. , vol.76 , pp. 155-161
    • Fuller, W.A.1    Hasza, D.P.2
  • 12
    • 77956890307 scopus 로고
    • On blocking rules for the bootstrap with dependent data
    • HALL, P., HOROWITZ, J. L. & JING, B. (1995). On blocking rules for the bootstrap with dependent data. Biometrika 82, 561-74.
    • (1995) Biometrika , vol.82 , pp. 561-574
    • Hall, P.1    Horowitz, J.L.2    Jing, B.3
  • 13
    • 0000144137 scopus 로고    scopus 로고
    • On sample reuse methods for dependent data
    • HALL, P. & JING, B. (1996). On sample reuse methods for dependent data. J. R. Statist. Soc. B 58, 727-37.
    • (1996) J. R. Statist. Soc. B , vol.58 , pp. 727-737
    • Hall, P.1    Jing, B.2
  • 14
    • 0011088664 scopus 로고
    • The estimation of the prediction error variance
    • HANNAN, E. J. & NICHOLLS, D. F. (1977). The estimation of the prediction error variance. J. Am. Statist. Assoc. 72, 834-40.
    • (1977) J. Am. Statist. Assoc. , vol.72 , pp. 834-840
    • Hannan, E.J.1    Nicholls, D.F.2
  • 15
    • 0000512689 scopus 로고    scopus 로고
    • Generalized information criteria in model selection
    • KONISHI, S. & KITAGAWA, G. (1996). Generalized information criteria in model selection. Biometrika 83, 875-90.
    • (1996) Biometrika , vol.83 , pp. 875-890
    • Konishi, S.1    Kitagawa, G.2
  • 16
    • 0000145557 scopus 로고
    • Properties of predictors in misspecified autoregressive time series models
    • KUNITOMO, N. & YAMAMOTO, T. (1985). Properties of predictors in misspecified autoregressive time series models. J. Am. Statist. Assoc. 80, 941-50.
    • (1985) J. Am. Statist. Assoc. , vol.80 , pp. 941-950
    • Kunitomo, N.1    Yamamoto, T.2
  • 17
    • 0000181737 scopus 로고
    • The jackknife and the bootstrap for general stationary observations
    • KüNSCH, H. (1989). The jackknife and the bootstrap for general stationary observations. Ann. Statist. 17, 1217-41.
    • (1989) Ann. Statist. , vol.17 , pp. 1217-1241
    • Künsch, H.1
  • 18
    • 0001180494 scopus 로고
    • Moving blocks jackknife and bootstrap capture weak dependence
    • Ed. R. Lepage and L. Billard, New York: Wiley.
    • Liu, R. & SINGE, K. (1992). Moving blocks jackknife and bootstrap capture weak dependence. In Exploring the Limits of Bootstrap Ed. R. Lepage and L. Billard, pp.225-48. New York: Wiley.
    • (1992) In Exploring the Limits of Bootstrap , pp. 225-248
    • Liu, R.1    Singe, K.2
  • 19
    • 38249001504 scopus 로고
    • On the sample variance of linear statistics derived from mixing sequences
    • POLITIS, D. N. & ROMANO, J. P. (1993). On the sample variance of linear statistics derived from mixing sequences. Stock. Procès. Applic. 45, 155-67.
    • (1993) Stock. Procès. Applic. , vol.45 , pp. 155-167
    • Politis, D.N.1    Romano, J.P.2
  • 20
    • 0001232820 scopus 로고    scopus 로고
    • Subsampling for heteroskedastic time series
    • POLITIS, D. N., ROMANO, J. P. & WOLF, M. (1997). Subsampling for heteroskedastic time series. J. Economet. 81, 281-317.
    • (1997) J. Economet. , vol.81 , pp. 281-317
    • Politis, D.N.1    Romano, J.P.2    Wolf, M.3
  • 21
    • 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, 147-64.
    • (1980) Ann. Statist. , vol.8 , pp. 147-164
    • Shibata, R.1
  • 22
    • 0001308646 scopus 로고    scopus 로고
    • Information criteria for selecting possibly misspecified parametric models
    • SIN, C. & WHITE, H. (1996). Information criteria for selecting possibly misspecified parametric models. J. Economet. 71, 207-25.
    • (1996) J. Economet. , vol.71 , pp. 207-225
    • Sin, C.1    White, H.2
  • 23
    • 0001220102 scopus 로고
    • Estimating properties of autoregressive forecasts
    • STINE, R. A. (1987). Estimating properties of autoregressive forecasts. J. Am. Statist. Assoc. 82, 1072-8.
    • (1987) J. Am. Statist. Assoc. , vol.82 , pp. 1072-1078
    • Stine, R.A.1
  • 24
    • 0003566072 scopus 로고
    • Non-linear Time Series: A Dynamical Systems Approach
    • TONG, H. (1990). Non-linear Time Series: A Dynamical Systems Approach. Oxford: Oxford University Press.
    • (1990) Oxford: Oxford University Press.
    • Tong, H.1
  • 25
    • 0003080582 scopus 로고
    • On subset selection in non-parametric stochastic regression
    • YAO, Q. & TONG, H. (1994). On subset selection in non-parametric stochastic regression. Statist. Sinica 4, 51-70.
    • (1994) Statist. Sinica , vol.4 , pp. 51-70
    • Yao, Q.1    Tong, H.2
  • 26
    • 0001470165 scopus 로고
    • On the convergence of moments in the central limit theorem
    • VON BAHR, B. (1965). On the convergence of moments in the central limit theorem. Ann. Math. Statist. 36, 808-18.
    • (1965) Ann. Math. Statist. , vol.36 , pp. 808-818
    • Von Bahr, B.1
  • 27
    • 0000095168 scopus 로고
    • Inequalities for the rth absolute moment of a sum of random variables, K r < 2
    • VON BAHR, B. & ESSEEN, C. (1965). Inequalities for the rth absolute moment of a sum of random variables, K r < 2. Ann. Math. Statist. 36, 299-303.
    • (1965) Ann. Math. Statist. , vol.36 , pp. 299-303
    • Von Bahr, B.1    Esseen, C.2


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