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Volumn 45, Issue 1-2, 2002, Pages 1-18

On the accuracy and asymptotic convergence of widely used estimators for autoregressive approximation of mixed ARMA models

Author keywords

AR estimators; ARMA models; Asymptotic convergence; Autoregressive approximation; Simulation study

Indexed keywords


EID: 67249098484     PISSN: 12404543     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (1)

References (37)
  • 1
    • 84942737910 scopus 로고
    • Fitting autoregressive models for prediction
    • H. Akaike, "Fitting autoregressive models for prediction," Ann. Inst. Statist. Math., vol.21, pp. 243-247, 1969.
    • (1969) Ann. Inst. Statist. Math. , vol.21 , pp. 243-247
    • Akaike, H.1
  • 2
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • H. Akaike, "A new look at the statistical model identification, " IEEE Trans. Autom. Contr., vol.AC-19, pp. 716-723, 1974.
    • (1974) IEEE Trans. Autom. Contr. , vol.AC-19 , pp. 716-723
    • Akaike, H.1
  • 3
    • 84953818707 scopus 로고
    • A norm inequality for a finite section Wiener-Hopf equation
    • G. Baxter, "A norm inequality for a finite section Wiener-Hopf equation," III. J. Math., vol.7, pp. 97-103, 1963.
    • (1963) III. J. Math. , vol.7 , pp. 97-103
    • Baxter, G.1
  • 4
    • 0001643055 scopus 로고
    • Consistent autoregressive spectral estimates
    • K. N. Berk, "Consistent autoregressive spectral estimates," Ann. Statist., vol.2, pp. 489-502, 1974.
    • (1974) Ann. Statist. , vol.2 , pp. 489-502
    • Berk, K.N.1
  • 6
    • 0012856312 scopus 로고
    • Linear prediction by autoregressive model fitting in the time domain
    • R. I. Bhansali, "Linear prediction by autoregressive model fitting in the time domain," Ann. Statist, vol.6, pp. 224-231, 1978.
    • (1978) Ann. Statist , vol.6 , pp. 224-231
    • Bhansali, R.I.1
  • 9
    • 1642629745 scopus 로고
    • Parameter estimation in stationary processes with spectra containing strong peaks
    • New York: Springer-Verlag
    • R. Dahlhaus, Parameter estimation in stationary processes with spectra containing strong peaks, In Robust and Non-linear time series, Lecture notes in Statistics, vol.26, pp. 50-67, New York: Springer-Verlag, 1984.
    • (1984) Robust and Non-linear Time Series, Lecture Notes in Statistics , vol.26 , pp. 50-67
    • Dahlhaus, R.1
  • 10
    • 0000139348 scopus 로고
    • Methods for determining the order of an autoregressive moving average process: A survey
    • J. de Gooijer, B. Abraham, A. Gould, and L. Robinson, "Methods for determining the order of an autoregressive moving average process: A survey," Int. Statist. Rev., vol.53, 301-329, 1985.
    • (1985) Int. Statist. Rev. , vol.53 , pp. 301-329
    • De Gooijer, J.1    Abraham, B.2    Gould, A.3    Robinson, L.4
  • 13
    • 84986850854 scopus 로고
    • Regression autoregression models
    • E. J. Hannan and L. Kavalieris, Regression, autoregression models, J. Time Ser. Anal, vol.7, pp. 27-50, 1986.
    • (1986) J. Time Ser. Anal , vol.7 , pp. 27-50
    • Hannan, E.J.1    Kavalieris, L.2
  • 14
    • 0000263475 scopus 로고
    • The determination of the order of an autoregression
    • E. J. Hannan and B. G. Quinn, "The determination of the order of an autoregression," J. Roy. Statist. Soc., vol.B40, 190-195, 1979.
    • (1979) J. Roy. Statist. Soc. , vol.B40 , pp. 190-195
    • Hannan, E.J.1    Quinn, B.G.2
  • 15
    • 0000493811 scopus 로고
    • Recursive estimation of mixed autoregressive moving average order
    • E. J, Hannan, and J. Rissanen, "Recursive estimation of mixed autoregressive moving average order," Biometrika, vol.69, pp. 81-94, 1982.
    • (1982) Biometrika , vol.69 , pp. 81-94
    • Hannan, E.J.1    Rissanen, J.2
  • 16
    • 71649103068 scopus 로고
    • Levinson-type recursive algorithms for least squares autoregression
    • D. Huang, "Levinson-type recursive algorithms for least squares autoregression," J. Time Ser. Anal, vol. 27, pp. 422-433, 1989.
    • (1989) J. Time Ser. Anal , vol.27 , pp. 422-433
    • Huang, D.1
  • 17
    • 51249181602 scopus 로고
    • On a spectral estimate obtained by an autoregressive model fitting
    • M. Huzu, "On a spectral estimate obtained by an autoregressive model fitting," Ann. Inst. Statist. Math., vol.A 29, pp. 415-431, 1977.
    • (1977) Ann. Inst. Statist. Math. , vol.A 29 , pp. 415-431
    • Huzu, M.1
  • 18
    • 0010211612 scopus 로고
    • Multivariate autregression estimation using residuals
    • (ed. D. F. Findley), New York: Academic Press
    • R. Jones, "Multivariate autregression estimation using residuals," In applied Time Series Analysis (ed. D. F. Findley), pp. 139-161, New York: Academic Press, 1978.
    • (1978) Applied Time Series Analysis , pp. 139-161
    • Jones, R.1
  • 19
    • 0000754902 scopus 로고
    • Least squares routines to supplement those of Gentleman
    • A. J. Miller, "Least squares routines to supplement those of Gentleman," Appl. Statist., vol.1, pp. 458-478, 1991.
    • (1991) Appl. Statist. , vol.1 , pp. 458-478
    • Miller, A.J.1
  • 20
    • 0004332272 scopus 로고    scopus 로고
    • NAG, Mark 18, Oxford: Numerical Algorithms Group
    • NAG, NAG Fortran library Manual, Mark 18, Oxford: Numerical Algorithms Group, 1997.
    • (1997) NAG Fortran library Manual
  • 21
    • 0042460762 scopus 로고
    • The Levinson algorithm and its applications in time series analysis
    • P. A. Morettin, "The Levinson algorithm and its applications in time series analysis," International Statist. Rev., vol. 52, no. 1, 83-92, 1984.
    • (1984) International Statist. Rev. , vol.52 , Issue.1 , pp. 83-92
    • Morettin, P.A.1
  • 22
    • 0016320662 scopus 로고
    • Some recent advances in time series modelling
    • E. Parzen, "Some recent advances in time series modelling," IEEE Trans. Autom. Control, vol.AC-19, pp. 723-730, 1974.
    • (1974) IEEE Trans. Autom. Control , vol.AC-19 , pp. 723-730
    • Parzen, E.1
  • 23
    • 84974379623 scopus 로고
    • A note on autoregressive modelling
    • D. S. Poskitt, "A note on autoregressive modelling," Econometr. Theor., vol.10, pp. 884-899, 1994.
    • (1994) Econometr. Theor. , vol.10 , pp. 884-899
    • Poskitt, D.S.1
  • 24
    • 0346802756 scopus 로고
    • Stable spectral factorization with applications in the estimation of time series models
    • D. S. Poskitt, D. S. and M. O. Salau, "Stable spectral factorization with applications in the estimation of time series models," Comm. Statist Theor Method, vol. 22, no.2, pp. 347-367, 1993.
    • (1993) Comm. Statist Theor Method , vol.22 , Issue.2 , pp. 347-367
    • Poskitt, D.S.1    Salau, M.O.2
  • 25
    • 14644437857 scopus 로고
    • On the asymptotic relative efficiency of Gaussian and least squares estimators for vector ARMA models
    • D. S. Poskitt and M. O. Salau, "On the asymptotic relative efficiency of Gaussian and least squares estimators for vector ARMA models," J. Multiv. Anal., vol. 51, no. 2, pp. 294-317, 1994.
    • (1994) J. Multiv. Anal. , vol.51 , Issue.2 , pp. 294-317
    • Poskitt, D.S.1    Salau, M.O.2
  • 26
    • 38249029250 scopus 로고
    • An improved estimation method for univariate autoregressive models
    • T. M. Pukkila, "An improved estimation method for univariate autoregressive models," J. Multiv. Anal., vol.27, pp. 422-433, 1988.
    • (1988) J. Multiv. Anal. , vol.27 , pp. 422-433
    • Pukkila, T.M.1
  • 27
    • 0003081961 scopus 로고
    • The identification of ARMA models
    • T. Pukkila, S. Koreisha and J. Kallinen, The identification of ARMA models, Biometrika, vol.77, pp. 537-548, 1990.
    • (1990) Biometrika , vol.77 , pp. 537-548
    • Pukkila, T.1    Koreisha, S.2    Kallinen, J.3
  • 28
    • 0018015137 scopus 로고
    • Modelling by shortest data description
    • J. Rissanen, "Modelling by shortest data description," Automatica, vol.' 14, pp. 465-471, 1978.
    • (1978) Automatica , vol.14 , pp. 465-471
    • Rissanen, J.1
  • 30
    • 0038622491 scopus 로고
    • On the numerical implementation of the generalized least squares procedure for ARMA estimation
    • M. O. Salau, "On the numerical implementation of the generalized least squares procedure for ARMA estimation," Comm. Statist: Simul. comput., vol. 24, no. 1, pp. 111-130, 1995.
    • (1995) Comm. Statist: Simul. comput. , vol.24 , pp. 111-130
    • Salau, M.O.1
  • 31
    • 0032285783 scopus 로고    scopus 로고
    • Arjma modelling of Nigeria's crude oil exports
    • M. O. Salau, "Arjma modelling of Nigeria's crude oil exports," J. Modelling, Measurement and Control, vol.18, nos.1 and 2, pp. 1-20, 1998.
    • (1998) J. Modelling, Measurement and Control , vol.18 , Issue.1-2 , pp. 1-20
    • Salau, M.O.1
  • 32
    • 71649104425 scopus 로고    scopus 로고
    • The effects of different choices of the order for autoregressive approximation on the Gaussian likelihood estimates for ARMA models
    • in press
    • M. O. Salau, "The effects of different choices of the order for autoregressive approximation on the Gaussian likelihood estimates for ARMA models," Statistical Papers, 2001 (in press).
    • (2001) Statistical Papers
    • Salau, M.O.1
  • 33
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • 1978
    • G. Schwarz,(1978). Estimating the dimension of a model, Ann. Statist., vol.6, pp. 461-464, 1978.
    • (1978) Ann. Statist. , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 34
    • 85027186089 scopus 로고
    • Selection of the order of an autoregressive model by Akaike's information criterion
    • R. Shibata, "Selection of the order of an autoregressive model by Akaike's information criterion," Biometrika, vol.63, pp. 117-126, 1976.
    • (1976) Biometrika , vol.63 , pp. 117-126
    • Shibata, R.1
  • 35
    • 0000877685 scopus 로고
    • Bias of some commonly used time series estimates
    • D. Tjostheim and J. Paulsen, "Bias of some commonly used time series estimates," Biometrika, vol.70, pp. 389-399, 1983.
    • (1983) Biometrika , vol.70 , pp. 389-399
    • Tjostheim, D.1    Paulsen, J.2
  • 36
    • 71649115788 scopus 로고    scopus 로고
    • Correction
    • Correction, Biometrika, vol.71, p. 656.
    • Biometrika , vol.71 , pp. 656
  • 37
    • 0010162710 scopus 로고
    • Some efficient computational procedures for high order ARMA models
    • G. T. Wilson, "Some efficient computational procedures for high order ARMA models," J. Statist. Compvt. Simul., vol.8, pp. 301-309, 1979.
    • (1979) J. Statist. Compvt. Simul. , vol.8 , pp. 301-309
    • Wilson, G.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.