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Volumn 56, Issue 1, 2004, Pages 73-86

Nonparametric regression under dependent errors with infinite variance

Author keywords

ARMA; Fractional ARIMA; Heavy tail; Least absolute deviation estimation; Long memory; Median; Stable distribution; Time series

Indexed keywords

ASYMPTOTIC STABILITY; BANDWIDTH; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FUNCTIONS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS;

EID: 3142647376     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02530525     Document Type: Article
Times cited : (17)

References (38)
  • 3
    • 0000615064 scopus 로고
    • Comparison of two bandwidth selectors with dependent errors
    • Chiu, C. K. and Marron, J. S. (1991). Comparison of two bandwidth selectors with dependent errors, The Annals of Statistics, 19, 1906-1918.
    • (1991) The Annals of Statistics , vol.19 , pp. 1906-1918
    • Chiu, C.K.1    Marron, J.S.2
  • 4
    • 0000079883 scopus 로고
    • Nonparametric regression under long-range dependent normal errors
    • Csörgo, S. and Mielniczuk, J. (1995). Nonparametric regression under long-range dependent normal errors, The Annals of Statistics, 23, 1000-1014.
    • (1995) The Annals of Statistics , vol.23 , pp. 1000-1014
    • Csörgo, S.1    Mielniczuk, J.2
  • 6
    • 21844482638 scopus 로고
    • On curve estimation by minimizing mean absolute deviation and its implications
    • Fan, J. and Hall, P. (1994). On curve estimation by minimizing mean absolute deviation and its implications, The Annals of Statistics, 22, 867-885.
    • (1994) The Annals of Statistics , vol.22 , pp. 867-885
    • Fan, J.1    Hall, P.2
  • 8
    • 0003326493 scopus 로고
    • Regular variation, extensions and Tauberian theorems
    • Geluk, J. and de Haan, L. (1987). Regular variation, extensions and Tauberian theorems, CWI Tract, 40.
    • (1987) CWI Tract , vol.40
    • Geluk, J.1    De Haan, L.2
  • 10
    • 0040080056 scopus 로고    scopus 로고
    • Prediction and nonparametric estimation for time series with heavy tails
    • Hall, P., Peng, L. and Yao, Q. (2002). Prediction and nonparametric estimation for time series with heavy tails, Journal of Time Series Analysis, 23(3), 313-331.
    • (2002) Journal of Time Series Analysis , vol.23 , Issue.3 , pp. 313-331
    • Hall, P.1    Peng, L.2    Yao, Q.3
  • 12
    • 0000420391 scopus 로고
    • Automated kernel smoothing of dependent data by using time series crossing-validation
    • Hart, J. D. (1994). Automated kernel smoothing of dependent data by using time series crossing-validation, Journal of the Royal Statistical Society. Series B, 56, 529-542.
    • (1994) Journal of the Royal Statistical Society. Series B , vol.56 , pp. 529-542
    • Hart, J.D.1
  • 13
    • 0001173556 scopus 로고
    • Choice of bandwidth for kernel regression when residuals are correlated
    • Herrmann, E., Gasser, T. and Kneip, A. (1992). Choice of bandwidth for kernel regression when residuals are correlated, Biometrika, 79(4), 783-795.
    • (1992) Biometrika , vol.79 , Issue.4 , pp. 783-795
    • Herrmann, E.1    Gasser, T.2    Kneip, A.3
  • 14
    • 0033164330 scopus 로고    scopus 로고
    • On the asymptotic distributions of partial sums of functionals of infinite-variance moving averages
    • Hsing, T. (1999). On the asymptotic distributions of partial sums of functionals of infinite-variance moving averages, The Annals of Probability, 27, 1579-1599.
    • (1999) The Annals of Probability , vol.27 , pp. 1579-1599
    • Hsing, T.1
  • 15
    • 0041571279 scopus 로고
    • Weighted sums of i.i.d. random variables attracted to integrals of stable processes
    • Kasahara, Y. and Maejima, M. (1988). Weighted sums of i.i.d. random variables attracted to integrals of stable processes, Probability Theory and Related Fields, 78, 75-96.
    • (1988) Probability Theory and Related Fields , vol.78 , pp. 75-96
    • Kasahara, Y.1    Maejima, M.2
  • 16
    • 0030369022 scopus 로고    scopus 로고
    • The integrated periodogram for stable processes
    • Klüppelberg, C. and Mikosch, T. (1996). The integrated periodogram for stable processes, The Annals of Statistics, 24(5), 1855-1879.
    • (1996) The Annals of Statistics , vol.24 , Issue.5 , pp. 1855-1879
    • Klüppelberg, C.1    Mikosch, T.2
  • 18
    • 0030359440 scopus 로고    scopus 로고
    • Parameter estimation for infinite variance fractional ARIMA
    • Kokoszka, P. and Taqqu, M. S. (1996). Parameter estimation for infinite variance fractional ARIMA, The Annals of Statistics, 24, 1880-1913.
    • (1996) The Annals of Statistics , vol.24 , pp. 1880-1913
    • Kokoszka, P.1    Taqqu, M.S.2
  • 19
    • 0001333131 scopus 로고    scopus 로고
    • Asymptotics of empirical processes of long memory moving averages with infinite variance
    • Koul, H. and Surgailis, D. (2001). Asymptotics of empirical processes of long memory moving averages with infinite variance, Stochastic Processes and their Applications, 91, 309-336.
    • (2001) Stochastic Processes and their Applications , vol.91 , pp. 309-336
    • Koul, H.1    Surgailis, D.2
  • 20
    • 0000599921 scopus 로고
    • Some theory of nonlinear smoothers
    • Mallows, C. L. (1980). Some theory of nonlinear smoothers, The Annals of Statistics, 8, 695-715.
    • (1980) The Annals of Statistics , vol.8 , pp. 695-715
    • Mallows, C.L.1
  • 21
    • 21844492815 scopus 로고
    • Parameter estimation for ARMA models with infinite variance innovations
    • Mikosch, T., Gadrich, T., Klüppelberg, C. and Alder, R. J. (1995). Parameter estimation for ARMA models with infinite variance innovations, The Annals of Statistics, 23, 305-326.
    • (1995) The Annals of Statistics , vol.23 , pp. 305-326
    • Mikosch, T.1    Gadrich, T.2    Klüppelberg, C.3    Alder, R.J.4
  • 22
    • 84971936861 scopus 로고
    • Asymptotics for least absolute deviation regression estimators
    • Pollard, D. (1991). Asymptotics for least absolute deviation regression estimators, Econometric Theory, 7, 186-198.
    • (1991) Econometric Theory , vol.7 , pp. 186-198
    • Pollard, D.1
  • 23
    • 0000610323 scopus 로고    scopus 로고
    • Bandwidth selection for kernel regression with long-range dependence
    • Ray, B. K. and Tsay, R. S. (1997). Bandwidth selection for kernel regression with long-range dependence, Biometrika, 84, 791-802.
    • (1997) Biometrika , vol.84 , pp. 791-802
    • Ray, B.K.1    Tsay, R.S.2
  • 24
    • 0031512270 scopus 로고    scopus 로고
    • Heavy tail modeling and teletraffic data (with discussion)
    • Resnick, S. I. (1997). Heavy tail modeling and teletraffic data (with discussion), The Annals of Statistics, 25, 1805-1869.
    • (1997) The Annals of Statistics , vol.25 , pp. 1805-1869
    • Resnick, S.I.1
  • 25
    • 34249764559 scopus 로고
    • Rates of convergence and optimal bandwidth choice for long-range dependence
    • Robinson, P. M. (1994). Rates of convergence and optimal bandwidth choice for long-range dependence, Probability Theory and Related Fields, 99, 443-473.
    • (1994) Probability Theory and Related Fields , vol.99 , pp. 443-473
    • Robinson, P.M.1
  • 26
    • 0031524928 scopus 로고    scopus 로고
    • Large-sample inference for nonparametric regression with dependent errors
    • Robinson, P. M. (1997). Large-sample inference for nonparametric regression with dependent errors, The Annals of Statistics, 25, 2054-2083.
    • (1997) The Annals of Statistics , vol.25 , pp. 2054-2083
    • Robinson, P.M.1
  • 29
    • 0036068861 scopus 로고    scopus 로고
    • Stable limits of empirical processes of moving averages with infinite variance
    • Surgailis, D. (2002). Stable limits of empirical processes of moving averages with infinite variance, Stochastic Processes and their Applications, 100, 255-274.
    • (2002) Stochastic Processes and their Applications , vol.100 , pp. 255-274
    • Surgailis, D.1
  • 31
    • 0000139640 scopus 로고
    • Asymptotic properties of kernel estimators based on local medians
    • Truong, Y. K. (1989). Asymptotic properties of kernel estimators based on local medians, The Annals of Statistics, 17, 606-617.
    • (1989) The Annals of Statistics , vol.17 , pp. 606-617
    • Truong, Y.K.1
  • 32
    • 0010886029 scopus 로고
    • Nonparametric curve estimation with time series errors
    • Truong, Y. K. (1991). Nonparametric curve estimation with time series errors, Journal of Statistical Planning and Inference, 28, 167-183.
    • (1991) Journal of Statistical Planning and Inference , vol.28 , pp. 167-183
    • Truong, Y.K.1
  • 33
    • 0002636269 scopus 로고
    • Robust nonparametric regression in time series
    • Truong, Y. K. (1992a). Robust nonparametric regression in time series, Journal of Multivariate Analysis, 41, 163-177.
    • (1992) Journal of Multivariate Analysis , vol.41 , pp. 163-177
    • Truong, Y.K.1
  • 35
    • 0001917688 scopus 로고
    • Nonparametric function estimation involving time series
    • Truong, Y. K. and Stone, C. J. (1992). Nonparametric function estimation involving time series, The Annals of Statistics, 20, 77-97.
    • (1992) The Annals of Statistics , vol.20 , pp. 77-97
    • Truong, Y.K.1    Stone, C.J.2
  • 36
    • 0022692335 scopus 로고
    • Robust reconstruction of functions by local-approximation method
    • Tsybakov, A. B. (1986). Robust reconstruction of functions by local-approximation method, Problems of Information Transmission, 22, 133-146.
    • (1986) Problems of Information Transmission , vol.22 , pp. 133-146
    • Tsybakov, A.B.1
  • 37
    • 0001709551 scopus 로고
    • Definition and comparison of robust nonlinear data smoothing algorithms
    • Velleman, P. F. (1980). Definition and comparison of robust nonlinear data smoothing algorithms, Journal of the American Statistical Association, 75, 609-615.
    • (1980) Journal of the American Statistical Association , vol.75 , pp. 609-615
    • Velleman, P.F.1
  • 38
    • 0001042540 scopus 로고    scopus 로고
    • Asymmetric least squares regression estimation: A nonparametric approach
    • Yao, Q. and Tong, H. (1996). Asymmetric least squares regression estimation: a nonparametric approach, Journal of Nonparametric Statistics, 6, 273-292.
    • (1996) Journal of Nonparametric Statistics , vol.6 , pp. 273-292
    • Yao, Q.1    Tong, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.