4 papers · 1 filter
Efficient simulation of ruin probabilities when claims are mixtures of heavy and light tails
Hansjörg Albrecher, Martin Bladt, Eleni Vatamidou
We consider the classical Cramér-Lundberg risk model with claim sizes that are mixtures of phase-type and subexponential variables. Exploiting a specific geometric compound represe…
Multivariate fractional phase--type distributions
Hansjoerg Albrecher, Martin Bladt, Mogens Bladt
We extend the Kulkarni class of multivariate phase--type distributions in a natural time--fractional way to construct a new class of multivariate distributions with heavy-tailed Mi…
Finite-time ruin probabilities under large-claim reinsurance treaties for heavy-tailed claim sizes
Hansjörg Albrecher, Bohan Chen, Eleni Vatamidou +1
We investigate the probability that an insurance portfolio gets ruined within a finite time period under the assumption that the r largest claims are (partly) reinsured. We show th…
Inhomogeneous phase--type distributions and heavy tails
Hansjörg Albrecher, Mogens Bladt
We extend the construction principle of phase-type (PH) distributions to allow for inhomogeneous transition rates and show that this naturally leads to direct probabilistic descrip…