Smoothing Splines and Shape Restrictions

Constrained smoothing splines are discussed under order restrictions on the shape of the function m. We consider shape constraints of the type$m^{(r)}\geq 0$, i.e. positivity, monotonicity, convexity,... (Here for an integer$r\geq 0m^{(r)}$denotes the rth derivative of m.) The paper contains three r...

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