activity
20112025
most citedExit identities for Lévy processes observed at Poisson arrival times

110 citations · 143 across the 9 of their papers we have counts for

collaborators

12 papers

q-fin.MF2025

On effects of present-bias on carbon emission patterns towards a net zero target

Hansjörg Albrecher, Jinxia Zhu

This paper explores the optimal policy for using an allocated carbon emission budget over time with the objective to maximize profit, by explicitly taking into account present-bias…

math.OC2023

Optimal reinsurance from an optimal transport perspective

Beatrice Acciaio, Hansjörg Albrecher, Brandon García Flores

We use the randomization idea and proof techniques from optimal transport to study optimal reinsurance problems. We start by providing conditions for a class of problems that allow…

math.OC2022

Optimal dividends revisited: a gradient-based method and evolutionary algorithms

Hansjörg Albrecher, Brandon García Flores

We reconsider the study of optimal dividend strategies in the Cramér-Lundberg risk model. It is well-known that the solution of the classical dividend problem is in general a band…

stat.ME2022

Informed censoring: the parametric combination of data and expert information

Hansjörg Albrecher, Martin Bladt

The statistical censoring setup is extended to the situation when random measures can be assigned to the realization of datapoints, leading to a new way of incorporating expert inf…

cs.CR2021

Blockchain mining in pools: Analyzing the trade-off between profitability and ruin

Hansjoerg Albrecher, Dina Finger, Pierre-Olivier Goffard

The resource-consuming mining of blocks on a blockchain equipped with a proof of work consensus protocol bears the risk of ruin, namely when the operational costs for the mining ex…

math.PR2020

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…

math.PR2020

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…

stat.AP2019

Combined Tail Estimation Using Censored Data and Expert Information

Martin Bladt, Hansjoerg Albrecher, Jan Beirlant

We study tail estimation in Pareto-like settings for datasets with a high percentage of randomly right-censored data, and where some expert information on the tail index is availab…

math.PR2019

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…

math.PR2018

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…

math.PR2014★ 110 cited

Exit identities for Lévy processes observed at Poisson arrival times

Hansjörg Albrecher, Jevgenijs Ivanovs, Xiaowen Zhou

For a spectrally one-sided Lévy process, we extend various two-sided exit identities to the situation when the process is only observed at arrival epochs of an independent Poisson…

q-fin.CP2011★ 33 cited

Exact and asymptotic results for insurance risk models with surplus-dependent premiums

Hansjörg Albrecher, Corina Constantinescu, Zbigniew Palmowski +2

In this paper we develop a symbolic technique to obtain asymptotic expressions for ruin probabilities and discounted penalty functions in renewal insurance risk models when the pre…