We introduce a multiplicative bias reducing estimator (MBRE) for nonparametric regression. We show that our estimator has optimal pointwise convergence rate n4/9, when positive kernels are used. A simulation study comparing our procedure with the higher order kernel method is included.

We propose a nonparametric multiplicative bias corrected transformation estimator designed for heavy tailed data. The multiplicative correction is based on prior knowledge and has a dimension reducing effect at the same time as the original dimension of the estimation problem is retained. Adding...

We consider additive intensity (Aalen) models as an alternative to the multiplicative intensity (Cox) models for analyzing the default risk of a sample of rated, nonfinancial U.S. firms. The setting allows for estimating and testing the significance of time-varying effects. We use a variety of...