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Volumn 27, Issue 1, 1999, Pages 178-203

Whittle estimator for finite-variance non-Gaussian time series with long memory

Author keywords

Hermite polynomials; Long range dependence; Non central limit theorem; Quadratic forms; Time series

Indexed keywords


EID: 0033074707     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (58)

References (28)
  • 1
    • 0000829711 scopus 로고
    • Noncentral limit theorems and Appell polynomials
    • AVRAM, F. and TAQQU, M. S. (1987). Noncentral limit theorems and Appell polynomials. Ann. Probab. 15 767-775.
    • (1987) Ann. Probab. , vol.15 , pp. 767-775
    • Avram, F.1    Taqqu, M.S.2
  • 2
    • 84972520545 scopus 로고
    • Statistical methods for data with long-range dependence
    • BERAN, J. (1992). Statistical methods for data with long-range dependence (with discussion). Statist. Sci. 7 404-427.
    • (1992) Statist. Sci. , vol.7 , pp. 404-427
    • Beran, J.1
  • 3
    • 0000323474 scopus 로고
    • Central limit theorems for nonlinear functionals of Gaussian fields
    • BREUER, P. and MAJOR, P. (1983). Central limit theorems for nonlinear functionals of Gaussian fields. J. Multivariate Anal. 13 425-441.
    • (1983) J. Multivariate Anal. , vol.13 , pp. 425-441
  • 5
    • 0001318609 scopus 로고
    • Efficient parameter estimation for self similar processes
    • DAHLHAUS, R. (1989). Efficient parameter estimation for self similar processes. Ann. Statist. 17 1749-1766.
    • (1989) Ann. Statist. , vol.17 , pp. 1749-1766
    • Dahlhaus, R.1
  • 6
    • 0001627705 scopus 로고
    • The empirical process of some long-range dependent sequences with an application to U-statistics
    • DEHLING, H. and TAQQU, M. S. (1989). The empirical process of some long-range dependent sequences with an application to U-statistics. Ann. Statist. 17 1767-1783.
    • (1989) Ann. Statist. , vol.17 , pp. 1767-1783
    • Dehling, H.1    Taqqu, M.S.2
  • 7
    • 13844294706 scopus 로고
    • Non-central limit theorems for non-linear functions of Gaussian fields
    • DOBRUSHIN, R. L. and MAJOR, P. (1979). Non-central limit theorems for non-linear functions of Gaussian fields. Z. Wahrsch. Verw. Gebiete 50 27-52.
    • (1979) Z. Wahrsch. Verw. Gebiete , vol.50 , pp. 27-52
    • Dobrushin, R.L.1    Major, P.2
  • 8
    • 0002188727 scopus 로고
    • Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series
    • Fox, R. and TAQQU, M. S. (1986). Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series. Ann. Statist. 14 517-532.
    • (1986) Ann. Statist. , vol.14 , pp. 517-532
    • Fox, R.1    Taqqu, M.S.2
  • 9
    • 0031573365 scopus 로고    scopus 로고
    • Estimation of the dependence parameter in linear regression with long-range dependent errors
    • GIRAITIS, L. and KOUL, H. (1997). Estimation of the dependence parameter in linear regression with long-range dependent errors. Stochastic Process. Appl. 71 207-224.
    • (1997) Stochastic Process. Appl. , vol.71 , pp. 207-224
    • Giraitis, L.1    Koul, H.2
  • 11
    • 51249172022 scopus 로고
    • CLT and other limit theorems for functionals of Gaussian processes
    • GIRAITIS, L. and SURGAILIS, D. (1985). CLT and other limit theorems for functionals of Gaussian processes. Probab. Theory Related Fields 70 191-212.
    • (1985) Probab. Theory Related Fields , vol.70 , pp. 191-212
    • Giraitis, L.1    Surgailis, D.2
  • 12
    • 0001865584 scopus 로고
    • Multivariate Appell polynomials and the central limit theorem
    • (E. Eberlein and M. S. Taqqu, eds.). Birkhäuser, Boston
    • GIRAITIS, L. and SURGAILIS, D. (1986). Multivariate Appell polynomials and the central limit theorem. In Dependence in Probability and Statistics (E. Eberlein and M. S. Taqqu, eds.) 21-71. Birkhäuser, Boston.
    • (1986) Dependence in Probability and Statistics , pp. 21-71
    • Giraitis, L.1    Surgailis, D.2
  • 13
    • 0001898682 scopus 로고
    • A central limit theorem for quadratic forms in strongly dependent linear variables and application to asymptotical normality of Whittle's estimate
    • GIRAITIS, L. and SURGAILIS, D. (1990). A central limit theorem for quadratic forms in strongly dependent linear variables and application to asymptotical normality of Whittle's estimate. Probab. Theory Related Fields 86 87-104.
    • (1990) Probab. Theory Related Fields , vol.86 , pp. 87-104
    • Giraitis, L.1    Surgailis, D.2
  • 14
    • 0031487197 scopus 로고    scopus 로고
    • Limit theorems for bivariate Appell polynomials I. Central limit theorems
    • GIRAITIS, L. and TAQQU, M. S. (1997). Limit theorems for bivariate Appell polynomials I. Central limit theorems. Probab. Theory Related Fields 107 359-381.
    • (1997) Probab. Theory Related Fields , vol.107 , pp. 359-381
    • Giraitis, L.1    Taqqu, M.S.2
  • 15
    • 0032335248 scopus 로고    scopus 로고
    • Central limit theorems for quadratic forms with time-domain conditions
    • GIRAITIS, L. and TAQQU, M. S. (1998). Central limit theorems for quadratic forms with time-domain conditions. Ann. Probab. 26 377-398.
    • (1998) Ann. Probab. , vol.26 , pp. 377-398
    • Giraitis, L.1    Taqqu, M.S.2
  • 16
    • 0032023984 scopus 로고    scopus 로고
    • Limit theorems for bivariate Appell polynomials II. Non-central limit theorems
    • GIRAITIS, L., TAQQU, M. S. and TERRIN, N. (1998). Limit theorems for bivariate Appell polynomials II. Non-central limit theorems. Probab. Theory Related Fields 110 333-367.
    • (1998) Probab. Theory Related Fields , vol.110 , pp. 333-367
    • Giraitis, L.1    Taqqu, M.S.2    Terrin, N.3
  • 17
    • 0000302722 scopus 로고
    • The asymptotic theory of linear time series models
    • HANNAN, E. J. (1973). The asymptotic theory of linear time series models. J. Appl. Probab. 10 130-145.
    • (1973) J. Appl. Probab. , vol.10 , pp. 130-145
    • Hannan, E.J.1
  • 18
    • 0030500327 scopus 로고    scopus 로고
    • On the asymptotic expansion of the empirical process of long memory moving averages
    • Ho, H. C. and HSING, T. (1996). On the asymptotic expansion of the empirical process of long memory moving averages. Ann. Statist. 24 992-1024.
    • (1996) Ann. Statist. , vol.24 , pp. 992-1024
    • Ho, H.C.1    Hsing, T.2
  • 19
    • 0031325298 scopus 로고    scopus 로고
    • Limit theorems for functionals of moving averages
    • Ho, H. C. and HSING, T. (1997). Limit theorems for functionals of moving averages. Ann. Probab. 25 1636-1669.
    • (1997) Ann. Probab. , vol.25 , pp. 1636-1669
    • Ho, H.C.1    Hsing, T.2
  • 20
    • 0031518524 scopus 로고    scopus 로고
    • Asymptotic expansion of M-estimators with long memory errors
    • KOUL, H. L. and SURGAILIS, D. (1997). Asymptotic expansion of M-estimators with long memory errors. Ann. Statist. 25 818-850.
    • (1997) Ann. Statist. , vol.25 , pp. 818-850
    • Koul, H.L.1    Surgailis, D.2
  • 21
    • 21344487840 scopus 로고
    • Semiparametric analysis of long-memory time series
    • ROBINSON, P. M. (1994). Semiparametric analysis of long-memory time series. Ann. Statist. 22 515-539.
    • (1994) Ann. Statist. , vol.22 , pp. 515-539
    • Robinson, P.M.1
  • 22
    • 21344446855 scopus 로고
    • Gaussian semiparametric estimation of long range dependence
    • ROBINSON, P. M. (1995). Gaussian semiparametric estimation of long range dependence. Ann. Statist. 23 1630-1661.
    • (1995) Ann. Statist. , vol.23 , pp. 1630-1661
    • Robinson, P.M.1
  • 23
    • 34250409798 scopus 로고
    • Weak convergence to fractional Brownian motion and to the Rosenblatt process
    • TAQQU, M. S. (1975). Weak convergence to fractional Brownian motion and to the Rosenblatt process. Z. Wahrsch. Verw. Gebiete 31 287-302.
    • (1975) Z. Wahrsch. Verw. Gebiete , vol.31 , pp. 287-302
    • Taqqu, M.S.1
  • 24
    • 0001915941 scopus 로고
    • Convergence of integrated processes of arbitrary Hermite rank
    • TAQQU, M. S. (1979). Convergence of integrated processes of arbitrary Hermite rank. Z. Wahrsch. Verw. Gebiete 50 53-83.
    • (1979) Z. Wahrsch. Verw. Gebiete , vol.50 , pp. 53-83
    • Taqqu, M.S.1
  • 25
    • 0002346987 scopus 로고    scopus 로고
    • On estimating the intensity of long-range dependence in finite and infinite variance series
    • (R. Adler, R. Feldman and M. S. Taqqu, eds.). Birkhäuser, Boston
    • TAQQU, M. S. and TEVEROVSKY, V. (1998). On estimating the intensity of long-range dependence in finite and infinite variance series. In A Practical Guide to Heavy Tails: Statistical Techniques and Applications (R. Adler, R. Feldman and M. S. Taqqu, eds.) 177-217. Birkhäuser, Boston.
    • (1998) A Practical Guide to Heavy Tails: Statistical Techniques and Applications , pp. 177-217
    • Taqqu, M.S.1    Teverovsky, V.2
  • 26
    • 0000233505 scopus 로고
    • Estimators for long-range dependence: An empirical study
    • TAQQU, M. S., TEVEROVSKY, V. and WILLINGER, W. (1995). Estimators for long-range dependence: an empirical study. Fractals 3 785-798. [Reprinted in Fractal Geometry and Analysis (C. J. G. Evertsz, H.-O. Peitgen and R. F. Voss, eds.) World Scientific, Singapore.]
    • (1995) Fractals , vol.3 , pp. 785-798
    • Taqqu, M.S.1    Teverovsky, V.2    Willinger, W.3
  • 27
    • 0004025929 scopus 로고    scopus 로고
    • Reprinted in (C. J. G. Evertsz, H.-O. Peitgen and R. F. Voss, eds.) World Scientific, Singapore
    • TAQQU, M. S., TEVEROVSKY, V. and WILLINGER, W. (1995). Estimators for long-range dependence: an empirical study. Fractals 3 785-798. [Reprinted in Fractal Geometry and Analysis (C. J. G. Evertsz, H.-O. Peitgen and R. F. Voss, eds.) World Scientific, Singapore.]
    • Fractal Geometry and Analysis


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.