메뉴 건너뛰기




Volumn 59, Issue 4, 2007, Pages 697-725

Autoregressive approximation in nonstandard situations: The fractionally integrated and non-invertible cases

Author keywords

Asymptotic efficiency; Autoregression; Autoregressive approximation; Fractional process; Non invertibility; Order selection

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL MODELS; PARAMETER ESTIMATION; TIME SERIES ANALYSIS;

EID: 36448943535     PISSN: 00203157     EISSN: 15729052     Source Type: Journal    
DOI: 10.1007/s10463-006-0074-4     Document Type: Article
Times cited : (44)

References (32)
  • 4
    • 30244493399 scopus 로고    scopus 로고
    • Long memory processes and fractional integration in econometrics
    • Baillie R.T. (1996). Long memory processes and fractional integration in econometrics. Journal of Econometrics. 73, 5-59
    • (1996) Journal of Econometrics. , vol.73 , pp. 5-59
    • Baillie, R.T.1
  • 5
    • 0001529551 scopus 로고
    • An asymptotic result for the finite predictor
    • Baxter G. (1962). An asymptotic result for the finite predictor. Mathematica Scandinavica. 10, 137-144
    • (1962) Mathematica Scandinavica. , vol.10 , pp. 137-144
    • Baxter, G.1
  • 6
    • 84972520545 scopus 로고
    • Statistical methods for data with long-range dependence
    • Beran J. (1992). Statistical methods for data with long-range dependence. Statistical Science. 7, 404-427
    • (1992) Statistical Science. , vol.7 , pp. 404-427
    • Beran, J.1
  • 8
    • 0000208899 scopus 로고    scopus 로고
    • On unified model selection for stationary and nonstationary short- and long-memory autoregressive processes
    • Beran J., Bhansali R.J., Ocker D. (1998). On unified model selection for stationary and nonstationary short- and long-memory autoregressive processes. Biometrika. 85, 921-934
    • (1998) Biometrika. , vol.85 , pp. 921-934
    • Beran, J.1    Bhansali, R.J.2    Ocker, D.3
  • 9
    • 0003645554 scopus 로고
    • Technical report, Advanced Study Institute on Signal Processing, N.A.T.O., Enschede, Netherlands
    • Burg J. (1968). A new analysis technique for time series data. Technical report, Advanced Study Institute on Signal Processing, N.A.T.O., Enschede, Netherlands
    • (1968) A New Analysis Technique for Time Series Data
    • Burg, J.1
  • 10
    • 0002231124 scopus 로고
    • Tests for hurst effect
    • Davies R.B., Harte D.S. (1987). Tests for hurst effect. Biometrika. 74, 95-101
    • (1987) Biometrika. , vol.74 , pp. 95-101
    • Davies, R.B.1    Harte, D.S.2
  • 12
    • 84986792205 scopus 로고
    • An introduction to long-memory time series models and fractional differencing
    • Granger C.W.J., Joyeux R. (1980). An introduction to long-memory time series models and fractional differencing. Journal of Time Series Analysis. 1, 15-29
    • (1980) Journal of Time Series Analysis. , vol.1 , pp. 15-29
    • Granger, C.W.J.1    Joyeux, R.2
  • 17
    • 77956890381 scopus 로고
    • Fractional differencing
    • Hosking J.R.M. (1980). Fractional differencing. Biometrika. 68, 165-176
    • (1980) Biometrika. , vol.68 , pp. 165-176
    • Hosking, J.R.M.1
  • 18
    • 0000708126 scopus 로고    scopus 로고
    • Asymptotic distributions of the sample mean, autocovariances, and autocorrelations of long memory time series
    • Hosking J.R.M. (1996). Asymptotic distributions of the sample mean, autocovariances, and autocorrelations of long memory time series. Journal of Econometrics. 73, 261-284
    • (1996) Journal of Econometrics. , vol.73 , pp. 261-284
    • Hosking, J.R.M.1
  • 20
    • 33747441485 scopus 로고
    • The Wiener RMS (root mean square) error criterion in filter design and prediction
    • Levinson N. (1947). The Wiener RMS (root mean square) error criterion in filter design and prediction. Journal of Mathematical Physics. 25, 261-278
    • (1947) Journal of Mathematical Physics. , vol.25 , pp. 261-278
    • Levinson, N.1
  • 21
    • 0001629541 scopus 로고
    • Loss of spectral peaks in autoregressive spectral estimation
    • Lysne D., Tjøstheim D. (1987). Loss of spectral peaks in autoregressive spectral estimation. Biometrika. 74, 200-206
    • (1987) Biometrika. , vol.74 , pp. 200-206
    • Lysne, D.1    Tjøstheim, D.2
  • 24
    • 0005036595 scopus 로고
    • On the estimation of residual variance and order in autoregressive time series
    • Paulsen J., Tjøstheim D. (1985). On the estimation of residual variance and order in autoregressive time series. Journal of the Royal Statistical Society. B-47, 216-228
    • (1985) Journal of the Royal Statistical Society. B , vol.47 , pp. 216-228
    • Paulsen, J.1    Tjøstheim, D.2
  • 25
    • 0039176097 scopus 로고    scopus 로고
    • Strongly consistent determination of cointegrating rank via canonical correlations
    • Poskitt D.S. (2000). Strongly consistent determination of cointegrating rank via canonical correlations. Journal of Business and Economic Statistics. 18, 71-90
    • (2000) Journal of Business and Economic Statistics. , vol.18 , pp. 71-90
    • Poskitt, D.S.1
  • 26
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwarz G. (1978). Estimating the dimension of a model. Annals of Statistics. 6, 461-464
    • (1978) Annals of Statistics. , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 27
    • 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. Annals of Statistics. 8, 147-164
    • (1980) Annals of Statistics. , vol.8 , pp. 147-164
    • Shibata, R.1
  • 28
    • 36448933879 scopus 로고
    • American Mathematical Society Colloquium Publication
    • Szegö, G. (1939). Orthogonal polynomials. American Mathematical Society Colloquium Publication.
    • (1939) Orthogonal Polynomials
    • Szegö, G.1
  • 29
    • 0000877685 scopus 로고
    • Bias of some commonly-used time series estimators
    • Tjøstheim D., Paulsen J. (1983). Bias of some commonly-used time series estimators. Biometrika. 70, 389-400
    • (1983) Biometrika. , vol.70 , pp. 389-400
    • Tjøstheim, D.1    Paulsen, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.