In this article we propose and study a model for stock prices which allows for shot-noise effects. This means that abrupt changes caused by jumps may fade away as time goes by. This model is incomplete. We derive the minimal martingale measure in discrete and continuous time and discuss the...

In a multivariate nonparametric setup the survival function is not identifiable from the hazard function. Things may change, however, if we restrict ourselves to semiparametric submodels. In this note we show that for the Clayton survival model, the answer is affirmative.

This article proposes a model for stock prices which incorporates shot-noise effects. This means, that sudden jumps in the stock price are allowed, but their effect may decline as time passes by. Our model is general enough to capture arbitrary effects of this type. Generalizing previous...

We show that the Kaplan-Meier estimator of a survival function is consistent under weighted sup-norms for a large class of weight functions. The method of proof incorporates a new SLLN and a CLT for Kaplan-Meier integrals.