José M. Pérez-Sánchez

arXiv2016

On the aggregation of experts' information in Bonus-Malus systems

We present in this paper a new premium computation principle based on the use of prior information from multiple sources for computing the premium charged to a policyholder. Under this framework, based on the use of Ordered Weighted Averaging (OWA) operators, we propose alternative collective and Bayes premiums and describe some approaches to compute them. Several examples illustrates the new framework for premium computation.

math.OC↗

arXiv2001

Note on Scalar Fields Non-Minimally Coupled to (2+1)-Gravity

Scalar fields non--minimally coupled to (2+1)-gravity, in the presence of cosmological constant term, are considered. Non-minimal couplings are described by the term $ζR Ψ^2$ in the Lagrangian. Within a class of static circularly symmetric space-times, it is shown that the only existing physically relevant solutions are the anti-de Sitter space-time for $ζ=0$, and the Martinez-Zanelli black hole for $ζ=1/8$. We obtain also two new solutions with non-trivial scalar field, for $ζ=1/6$ and $ζ=1/8$ respectively, nevertheless, the corresponding space-times can be reduced, via coordinate transformations, to the standard anti-de Sitter space.

gr-qc↗