Abstract
In this paper we describe some new features of the monotone-preserving cubic spline and the Hyman monotonicity constraint that is implemented in various spline interpolation methods to ensure monotonicity. We find that, while the Hyman constraint is in general useful to enforce monotonicity, it can safely be omitted when the monotone-preserving cubic spline is considered. We also find that, when computing sensitivities, consistency requires making some specific assumptions about how to deal with non-differentiable locations that become relevant for special values of the parameter space.
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