P(enalized)-splines and fractional polynomials (FPs) have emerged as powerful smoothing techniques with increasing popularity in applied research. Both approaches provide considerable flexibility, but only limited comparative evaluations of the performance and properties of the two methods have...

We consider a system with hysteresis: the motion of a particle is governed by one of two stochastic differential equations depending on which of two thresholds 0 and x1,x1 0 was crossed last. Using observations of the process over a fixed time interval we construct the maximum likelihood...

In diesem Aufsatz beschreiben wir einen neuartigen Ansatz, mit dem zwei heterogene Datensätze für räumliche Hauspreisvorhersagen nutzbar gemacht werden. Der erste Datensatz enthält eine große Anzahl von Hauspreisbeobachtungen, allerdings nur wenige Immobilieneigenschaften (ein langer...

Generalized additive models for location, scale and, shape define a flexible, semi-parametric class of regression models for analyzing insurance data in which the exponential family assumption for the response is relaxed. This approach allows the actuary to include risk factors not only in the...