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Theory & Method

The Signal Extraction Approach to Nonlinear Regression and Spline Smoothing

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Pages 81-89 | Received 01 Oct 1981, Published online: 12 Mar 2012

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Ludwig Fahrmeir & Leonhard Knorr‐Held. 2000. Smoothing and Regression. Smoothing and Regression 513 544 .
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Nancy E. Heckman & James O. Ramsay. (2008) Penalized regression with model‐based penalties. Canadian Journal of Statistics 28:2, pages 241-258.
Crossref
Thomas S. Shively, Greg M. Allenby & Robert Kohn. (2000) A Nonparametric Approach to Identifying Latent Relationships in Hierarchical Models. Marketing Science 19:2, pages 149-162.
Crossref
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Gheorghe Micula & Sanda MiculaGheorghe Micula & Sanda Micula. 1999. Handbook of Splines. Handbook of Splines 383 600 .
Hassan M. Heshmati, B. Lawrence Riggs, Mary F. Burritt, Carol A. McAlister, Peter C. Wollan & Sundeep Khosla. (1998) Effects of the Circadian Variation in Serum Cortisol on Markers of Bone Turnover and Calcium Homeostasis in Normal Postmenopausal Women1. The Journal of Clinical Endocrinology & Metabolism 83:3, pages 751-756.
Crossref
Franklin B. Schwing & Roy Mendelssohn. (1997) Increased coastal upwelling in the California Current System. Journal of Geophysical Research: Oceans 102:C2, pages 3421-3438.
Crossref
Nobuhisa Kashiwagi. (1996) A state-space approach to polygonal line regression. Annals of the Institute of Statistical Mathematics 48:2, pages 215-228.
Crossref
T. Prvan. (1995) Integrating noisy data. Applied Mathematics Letters 8:6, pages 83-87.
Crossref
Stewart J. Anderson & Richard H. Jones. (2007) Smoothing splines for longitudinal data. Statistics in Medicine 14:11, pages 1235-1248.
Crossref
R.A. MOYEED. (2008) SPLINE SMOOTHER AS A DYNAMIC LINEAR MODEL. Australian Journal of Statistics 37:2, pages 193-204.
Crossref
A. Van Der Linde. (1995) Splines from a Bayesian point of view. Test 4:1, pages 63-81.
Crossref
. (1995) Discussion of the Paper by Draper. Journal of the Royal Statistical Society Series B: Statistical Methodology 57:1, pages 71-97.
Crossref
Emery N. Brown & Christopher H. Schmid. 1994. Part B: Numerical Computer Methods. Part B: Numerical Computer Methods 171 181 .
H. R. Merkus, D. S. G. Pollock & A. F. de Vos. (1993) A synopsis of the smoothing formulae associated with the Kalman filter. Computational Economics 6:3-4, pages 177-200.
Crossref
A. C. Harvey & A. Jaeger. (2006) Detrending, stylized facts and the business cycle. Journal of Applied Econometrics 8:3, pages 231-247.
Crossref
Chris C. Tanner, John S. Clayton & Rohan D.S. Wells. (1993) Effects of suspended solids on the establishment and growth of Egeria densa. Aquatic Botany 45:4, pages 299-310.
Crossref
Emery N. Brown & Charles A. Czeisler. (2016) The Statistical Analysis of Circadian Phase and Amplitude in Constant-Routine Core-Temperature Data. Journal of Biological Rhythms 7:3, pages 177-202.
Crossref
F. Bager, T.J. Braggins, C.E. Devine, A.E. Graafhuis, D.J. Mellor, A. Tavener & M.P. Upsdell. (1992) Onset of insensibility at slaughter in calves: effects of electroplectic seizure and exsanguination on spontaneous electrocortical activity and indices of cerebral metabolism. Research in Veterinary Science 52:2, pages 162-173.
Crossref
S. Fioretti & L. Jetto. (1992) A new algorithm for the sequential estimation of the regularization parameter in the spline smoothing problem. A new algorithm for the sequential estimation of the regularization parameter in the spline smoothing problem.
J.A. Fessler. (1991) Nonparametric fixed-interval smoothing of nonlinear vector-valued measurements. IEEE Transactions on Signal Processing 39:4, pages 907-913.
Crossref
M.R. Osborne & Tania Prvan. (1991) A direct derivation of the interpolation smoother. Applied Mathematics Letters 4:2, pages 43-44.
Crossref
Stewart J. Anderson, Richard H. Jones & George D. Swanson. (1990) Smoothing Polynomial Splines for Bivariate Data. SIAM Journal on Scientific and Statistical Computing 11:4, pages 749-766.
Crossref
S. Fioretti, L. Jetto & T. Leo. (1990) Reliable in vivo estimation of the instantaneous helical axis in human segmental movements. IEEE Transactions on Biomedical Engineering 37:4, pages 398-409.
Crossref
A. C. Harvey & S. Peters. (2006) Estimation procedures for structural time series models. Journal of Forecasting 9:2, pages 89-108.
Crossref
Dennis Cox & Eunmee Koh. (1989) A smoothing spline based test of model adequacy in polynomial regression. Annals of the Institute of Statistical Mathematics 41:2, pages 383-400.
Crossref
Tania Prvan & M. R. Osborne. (2009) A square-root fixed-interval discrete-time smoother. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics 30:1, pages 57-68.
Crossref
M. R. Osborne & Tania Prvan. (2009) Smoothness and conditioning in generalised smoothing spline calculations. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics 30:1, pages 43-56.
Crossref
M. R. Osborne & Tania Prvan. (2009) On algorithms for generalised smoothing splines. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics 29:3, pages 322-341.
Crossref
M. G. Schimek. 1988. Compstat. Compstat 37 43 .
P. David Wilson. (2006) Autoregressive growth curves and Kalman filtering. Statistics in Medicine 7:1-2, pages 73-86.
Crossref
Joel B. Greenhouse, Robert E. Kass & Ruey S. Tsay. (2006) Fitting nonlinear models with ARMA errors to biological rhythm data. Statistics in Medicine 6:2, pages 167-183.
Crossref
Richard H. Jones & Peter V. Tryon. (1987) Continuous Time Series Models for Unequally Spaced Data Applied to Modeling Atomic Clocks. SIAM Journal on Scientific and Statistical Computing 8:1, pages 71-81.
Crossref
Robert Kohn & Craig F. Ansley. (1987) A New Algorithm for Spline Smoothing Based on Smoothing a Stochastic Process. SIAM Journal on Scientific and Statistical Computing 8:1, pages 33-48.
Crossref
S. Sri Ramaratnam, M. Edward Rister, David A. Bessler & James Novak. (2016) Risk Attitudes and Farm/Producer Attributes: A Case Study of Texas Coastal Bend Grain Sorghum Producers. Journal of Agricultural and Applied Economics 18:2, pages 85-96.
Crossref
Craig F. Ansley & Robert Kohn. (2016) On the equivalence of two stochastic approaches to spline smoothing. Journal of Applied Probability 23:A, pages 391-405.
Crossref
Richard H. Jones. (2016) Time series regression with unequally spaced data. Journal of Applied Probability 23:A, pages 89-98.
Crossref
B. W. Silverman. (1985) Some Aspects of the Spline Smoothing Approach to Non-Parametric Regression Curve Fitting. Journal of the Royal Statistical Society Series B: Statistical Methodology 47:1, pages 1-21.
Crossref
M. F. Hutchinson & F. R. de Hoog. (1985) Smoothing noisy data with spline functions. Numerische Mathematik 47:1, pages 99-106.
Crossref
Will Gersch & Genshiro Kitagawa. (2006) A time varying AR coefficient model for modelling and simulating earthquake ground motion. Earthquake Engineering & Structural Dynamics 13:2, pages 243-254.
Crossref
R. L. Eubank. (1985) Diagnostics for Smoothing Splines. Journal of the Royal Statistical Society Series B: Statistical Methodology 47:2, pages 332-341.
Crossref
Richard H. Jones. 1985. Time Series in the Time Domain. Time Series in the Time Domain 157 177 .
A. C. Harvey. (2006) A unified view of statistical forecasting procedures. Journal of Forecasting 3:3, pages 245-275.
Crossref
R.L Eubank. (1984) The hat matrix for smoothing splines. Statistics & Probability Letters 2:1, pages 9-14.
Crossref
Charles S. Bos & Neil Shephard. (2004) Inference for Adaptive Time Series Models: Stochastic Volatility and Conditionally Gaussian State Space Form. SSRN Electronic Journal.
Crossref
Michael S. Smith & Goeran Kauermann. (2011) Bicycle Commuting in Melbourne During the 2000s Energy Crisis: A Semiparametric Analysis of Intraday Volumes. SSRN Electronic Journal.
Crossref
João Tovar Jalles. (2009) Structural Time Series Models and the Kalman Filter: A Concise Review. SSRN Electronic Journal.
Crossref
Siem Jan Koopman & Soon Y. Wong. (2008) Spline Smoothing Over Difficult Regions. SSRN Electronic Journal.
Crossref

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