Journal of Computational and Applied Mathematics
Least Squares Convex-Concave Data Smoothing
Computational Optimization and Applications
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A data smoothing technique for piecewise convex/concave curves is developed and its computational aspects are discussed. Some of its statistical properties are determined and the difficulty in computing the general expression for bias and the mean squared error are illustrated through an example. A variety of examples are considered to demonstrate the potential of the proposed smoothing technique, and the behavior of the piecewise convex/concave smoother is shown by Monte-Carlo simulations. We also give a detailed comparison between the proposed smoothing technique and spline smoothing.