We propose what be believe to be a novel approach to perform calculations for rational density functions using state space representations of the densities. By standard results from realization theory, a rational probability density function is considered to be the transfer function of a linear...

We propose what be believe to be a novel approach to perform calculations for rational density functions using state space representations of the densities. By standard results from realization theory, a rational probability density function is considered to be the transfer function of a linear...

We consider a two-factor Heath–Jarrow–Morton (HJM) model under the risk neutral measure and show that it may be decoupled into a particular dynamic Nelson–Siegel (NS) model plus a somewhat counter-intuitive adjustment (lying outside the NS family) which keeps it arbitrage-free. We assess...

Abstract Distortion functions are employed to define measures of risk. Receiver operating characteristic (ROC) curves are used to describe the performance of parametrized test families in testing a simple null hypothesis against a simple alternative. This paper provides a connection between...