Approximate regression models and splines |
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Authors: | RL Eubank |
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Institution: | Department of Statistics , Southern Methodist University , Dollas, Texas, 75275 |
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Abstract: | The literature pertaining to splines in regression analysis is reviewed. Spline regression is motivated as a simple extension of the basic polynomial regression model. Using this framework, the concepts of fixed and variable knot spline regression are developed and corresponding inferential procedures are considered. Smoothing splines are also seen to be an extension of polynomial regression and various optimality properties, as well as inferential and diagnostic methods, for these types of splines are discussed. |
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Keywords: | Bayesian estimation best linear unbiased predictor cross-validation fixed knots nonlinear regrassion polynomial regression smoothing splines variable knots |
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