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Volumn 52, Issue 2, 2007, Pages 959-974

Efficient computation for Whittaker-Henderson smoothing

Author keywords

Cross validation; Graduation; Hodrick Prescott filter; Smoothing

Indexed keywords

DATA STORAGE EQUIPMENT; MATLAB; PROBLEM SOLVING; SIGNAL FILTERING AND PREDICTION;

EID: 35148827721     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2006.11.038     Document Type: Article
Times cited : (73)

References (45)
  • 2
    • 35148840157 scopus 로고    scopus 로고
    • Bauer, F.L., 1954. Beitrage zur entwicklung numerischer verfahren fur programmgesteuerte rechenanlagen I. Sitzungsberichte Math.-Naturwissen. Klasse Bayerischen Akad. Wissen. Munchen 275-303.
  • 3
    • 0001324443 scopus 로고
    • Ein direktes iterationsverfahren zur Hurwitz-zerlegung eines polynoms
    • Bauer F.L. Ein direktes iterationsverfahren zur Hurwitz-zerlegung eines polynoms. Archiv Elektrischen Ubertragung 9 (1955) 285-290
    • (1955) Archiv Elektrischen Ubertragung , vol.9 , pp. 285-290
    • Bauer, F.L.1
  • 4
    • 35148898225 scopus 로고    scopus 로고
    • Bauer, F.L., 1956. Beitrage zur entwicklung numerischer verfahren fur programmgesteuerte rechenanlagen II. Sitzungsberichte Math.-Naturwissen. Klasse Bayerischen Akad. Wissen. Munchen 163-203.
  • 5
    • 0037596892 scopus 로고    scopus 로고
    • Measuring business cycles: approximate bandpass filters for economic time series
    • Baxter M., and King R.G. Measuring business cycles: approximate bandpass filters for economic time series. Rev. Econ. Statist. 81 (1999) 575-593
    • (1999) Rev. Econ. Statist. , vol.81 , pp. 575-593
    • Baxter, M.1    King, R.G.2
  • 6
    • 35148883057 scopus 로고    scopus 로고
    • Bohlmann, G., 1899. Ein ausgleichungsproblem. Nachrichten Gesellschaft Wissenschaften Gottingen, Math.-Phys. Klasse 260-271.
  • 8
    • 34250263445 scopus 로고
    • Smoothing noisy data with spline functions
    • Craven P., and Wahba G. Smoothing noisy data with spline functions. Numer. Math. 31 (1979) 377-403
    • (1979) Numer. Math. , vol.31 , pp. 377-403
    • Craven, P.1    Wahba, G.2
  • 9
    • 0034325735 scopus 로고    scopus 로고
    • Fast spline smoothing via spectral factorization concepts
    • De Nicolao G., Ferrari-Trecate G., and Sparacino G. Fast spline smoothing via spectral factorization concepts. Automatica 36 (2000) 1733-1739
    • (2000) Automatica , vol.36 , pp. 1733-1739
    • De Nicolao, G.1    Ferrari-Trecate, G.2    Sparacino, G.3
  • 10
    • 0001320046 scopus 로고
    • Inverses of band matrices and local convergence of spine projections
    • Demko S. Inverses of band matrices and local convergence of spine projections. SIAM J. Numer. Anal. 14 (1977) 616-619
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 616-619
    • Demko, S.1
  • 11
    • 0020734332 scopus 로고
    • Discrete-time complementary models and smoothing algorithms: the correlated noise case
    • Desai U.B., Weinert H.L., and Yusypchuk G.J. Discrete-time complementary models and smoothing algorithms: the correlated noise case. IEEE Trans. Automat. Control 28 (1983) 536-539
    • (1983) IEEE Trans. Automat. Control , vol.28 , pp. 536-539
    • Desai, U.B.1    Weinert, H.L.2    Yusypchuk, G.J.3
  • 12
    • 0242669997 scopus 로고    scopus 로고
    • A perfect smoother
    • Eilers P.H.C. A perfect smoother. Analytical Chem. 75 (2003) 3631-3636
    • (2003) Analytical Chem. , vol.75 , pp. 3631-3636
    • Eilers, P.H.C.1
  • 13
    • 35148829488 scopus 로고
    • On smoothing a finite table: a matrix approach
    • Greville T.N.E. On smoothing a finite table: a matrix approach. J. SIAM 5 (1957) 137-154
    • (1957) J. SIAM , vol.5 , pp. 137-154
    • Greville, T.N.E.1
  • 14
    • 21844523474 scopus 로고
    • T factorization of banded Toeplitz matrices
    • T factorization of banded Toeplitz matrices. Linear Algebra Appl. 222 (1995) 97-126
    • (1995) Linear Algebra Appl. , vol.222 , pp. 97-126
    • Hafner, J.L.1
  • 18
    • 0040360986 scopus 로고    scopus 로고
    • Postwar U.S. business cycles: an empirical investigation
    • Hodrick R.J., and Prescott E.C. Postwar U.S. business cycles: an empirical investigation. J. Money Credit Banking 29 (1997) 1-16
    • (1997) J. Money Credit Banking , vol.29 , pp. 1-16
    • Hodrick, R.J.1    Prescott, E.C.2
  • 19
    • 0002970891 scopus 로고
    • Smoothing noisy data with spline functions
    • Hutchinson M.F., and de Hoog F.R. Smoothing noisy data with spline functions. Numer. Math. 47 (1985) 99-106
    • (1985) Numer. Math. , vol.47 , pp. 99-106
    • Hutchinson, M.F.1    de Hoog, F.R.2
  • 21
    • 0000057116 scopus 로고
    • Low frequency filtering and real business cycles
    • King R.G., and Rebelo S.T. Low frequency filtering and real business cycles. J. Econ. Dynamics Control 17 (1993) 207-231
    • (1993) J. Econ. Dynamics Control , vol.17 , pp. 207-231
    • King, R.G.1    Rebelo, S.T.2
  • 22
    • 84950428388 scopus 로고
    • A smoothness priors-state space modeling of time series with trend and seasonality
    • Kitagawa G., and Gersch W. A smoothness priors-state space modeling of time series with trend and seasonality. J. Amer. Statist. Assoc. 79 (1984) 378-389
    • (1984) J. Amer. Statist. Assoc. , vol.79 , pp. 378-389
    • Kitagawa, G.1    Gersch, W.2
  • 23
    • 0002658412 scopus 로고
    • A fast algorithm for signal extraction, influence and cross-validation in state space models
    • Kohn R., and Ansley C.F. A fast algorithm for signal extraction, influence and cross-validation in state space models. Biometrika 76 (1989) 65-79
    • (1989) Biometrika , vol.76 , pp. 65-79
    • Kohn, R.1    Ansley, C.F.2
  • 24
    • 0037405007 scopus 로고    scopus 로고
    • Computing observation weights for signal extraction and filtering
    • Koopman S.J., and Harvey A. Computing observation weights for signal extraction and filtering. J. Econ. Dynamics Control 27 (2003) 1317-1333
    • (2003) J. Econ. Dynamics Control , vol.27 , pp. 1317-1333
    • Koopman, S.J.1    Harvey, A.2
  • 25
    • 35148829965 scopus 로고
    • A simple method of trend construction
    • Leser C.E.V. A simple method of trend construction. J. Roy. Statist. Soc. B 23 (1961) 91-107
    • (1961) J. Roy. Statist. Soc. B , vol.23 , pp. 91-107
    • Leser, C.E.V.1
  • 27
    • 0002640292 scopus 로고
    • A fast method for solving a class of tridiagonal linear systems
    • Malcolm M.A., and Palmer J. A fast method for solving a class of tridiagonal linear systems. Comm. ACM 17 (1974) 14-17
    • (1974) Comm. ACM , vol.17 , pp. 14-17
    • Malcolm, M.A.1    Palmer, J.2
  • 28
    • 0001376054 scopus 로고
    • Symmetric decomposition of a positive definite matrix
    • Martin R.S., Peters G., and Wilkinson J.H. Symmetric decomposition of a positive definite matrix. Numer. Math. 7 (1965) 362-383
    • (1965) Numer. Math. , vol.7 , pp. 362-383
    • Martin, R.S.1    Peters, G.2    Wilkinson, J.H.3
  • 29
    • 0002174025 scopus 로고
    • A solution of the smoothing problem for linear dynamic systems
    • Mayne D.Q. A solution of the smoothing problem for linear dynamic systems. Automatica 4 (1966) 73-92
    • (1966) Automatica , vol.4 , pp. 73-92
    • Mayne, D.Q.1
  • 30
  • 31
    • 84890326874 scopus 로고
    • A technique for the numerical solution of certain integral equations of the first kind
    • Phillips D.L. A technique for the numerical solution of certain integral equations of the first kind. J. ACM 9 (1962) 84-97
    • (1962) J. ACM , vol.9 , pp. 84-97
    • Phillips, D.L.1
  • 32
    • 18744391055 scopus 로고    scopus 로고
    • On adjusting the Hodrick-Prescott filter for the frequency of observations
    • Ravn M.O., and Uhlig H. On adjusting the Hodrick-Prescott filter for the frequency of observations. Rev. Econ. Statist. 84 (2002) 371-376
    • (2002) Rev. Econ. Statist. , vol.84 , pp. 371-376
    • Ravn, M.O.1    Uhlig, H.2
  • 33
    • 0002308457 scopus 로고
    • Contributions to the problem of approximation of equidistant data by analytic functions. Part A-On the problem of smoothing or graduation
    • Schoenberg I.J. Contributions to the problem of approximation of equidistant data by analytic functions. Part A-On the problem of smoothing or graduation. Quart. Appl. Math. 4 (1946) 45-99
    • (1946) Quart. Appl. Math. , vol.4 , pp. 45-99
    • Schoenberg, I.J.1
  • 34
    • 51249179745 scopus 로고
    • Graduation by piecewise cubic polynomials: a historical review
    • Seal H.L. Graduation by piecewise cubic polynomials: a historical review. Deutsche Ges. Versicherungsmath. 15 (1981) 89-114
    • (1981) Deutsche Ges. Versicherungsmath. , vol.15 , pp. 89-114
    • Seal, H.L.1
  • 35
    • 35148827406 scopus 로고
    • The Whittaker-Henderson graduation formula A
    • Spoerl C.A. The Whittaker-Henderson graduation formula A. Trans. Actuarial Soc. Amer. 38 (1937) 403-462
    • (1937) Trans. Actuarial Soc. Amer. , vol.38 , pp. 403-462
    • Spoerl, C.A.1
  • 36
    • 35148839524 scopus 로고
    • A fundamental proposition in the solution of simultaneous linear equations
    • Spoerl C.A. A fundamental proposition in the solution of simultaneous linear equations. Trans. Actuarial Soc. Amer. 44 (1943) 276-288
    • (1943) Trans. Actuarial Soc. Amer. , vol.44 , pp. 276-288
    • Spoerl, C.A.1
  • 37
    • 35148851552 scopus 로고    scopus 로고
    • Takahashi, K., Fagan, J., Chen, M. S., 1973. Formation of a sparse bus impedance matrix and its application to short circuit study. In: Proceedings of the Power Industry Computer Applications Conference, pp. 63-69.
  • 38
    • 0026119870 scopus 로고
    • Recursive regularization filters: design, properties and applications
    • Unser M., Aldroubi A., and Eden M. Recursive regularization filters: design, properties and applications. IEEE Trans. Pattern Anal. Mach. Intell. 13 (1991) 272-277
    • (1991) IEEE Trans. Pattern Anal. Mach. Intell. , vol.13 , pp. 272-277
    • Unser, M.1    Aldroubi, A.2    Eden, M.3
  • 39
    • 33748328578 scopus 로고
    • A state space formulation of Whittaker graduation with extensions
    • Verrall R.J. A state space formulation of Whittaker graduation with extensions. Insurance: Math. Econ. 13 (1993) 7-14
    • (1993) Insurance: Math. Econ. , vol.13 , pp. 7-14
    • Verrall, R.J.1
  • 40
    • 0000939344 scopus 로고
    • Bayesian confidence intervals for the cross-validated smoothing spline
    • Wahba G. Bayesian confidence intervals for the cross-validated smoothing spline. J. Roy. Statist. Soc. B 45 (1983) 133-150
    • (1983) J. Roy. Statist. Soc. B , vol.45 , pp. 133-150
    • Wahba, G.1
  • 41
    • 0024622708 scopus 로고
    • New computationally efficient formula for backward-pass fixed-interval smoother and its UD factorisation algorithm
    • Watanabe K., and Tzafestas S.G. New computationally efficient formula for backward-pass fixed-interval smoother and its UD factorisation algorithm. IEE Proc. D 136 (1989) 73-78
    • (1989) IEE Proc. D , vol.136 , pp. 73-78
    • Watanabe, K.1    Tzafestas, S.G.2
  • 42
    • 35148855765 scopus 로고
    • Modification of working formulas in Whittaker-Henderson A graduation method to produce the moments automatically
    • Weaver C.L. Modification of working formulas in Whittaker-Henderson A graduation method to produce the moments automatically. Trans. Actuarial Soc. Amer. 44 (1943) 27-30
    • (1943) Trans. Actuarial Soc. Amer. , vol.44 , pp. 27-30
    • Weaver, C.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.