The article deals with the use of Spline Functions, piecewise polynomial functions, in regression models. According to their use in physics and mathematics where one is interested in fitting smooth curves through given fixed points. Poirier  suggests a method estimating those points. Here it is shown that it is possible to estimate the parameters of a Spline directly from the data by the Least Square Estimator. In part 2, the Spline estimation theory given here is applied to a model originally proposed byBarzel . Here a cubic, quadratic and linear Spline is used as regression functions.
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Gnad, W. Regression by spline functions. Empirical Economics 2, 69–77 (1977). https://doi.org/10.1007/BF01767473
- Regression Model
- Economic Theory
- Polynomial Function
- Regression Function
- Estimation Theory