In this paper the interest is in testing whether a regression function is polynomial of a certain degree. One possible approach to this testing problem is to do a parametric polynomial fit and a nonparametric fit and to reject the null hypothesis of a polynomial function if the distance between...

We show how to smoothly 'monotonise" standard kernel estimators of hazard rate using bootstrap weights. Our method takes a variety of forms, depending on the choice of kernel estimator and on the distance function used to defie a certain constrained optimisation problem.