activity
20072026
most citedGerber-Shiu functionals at Parisian ruin for Lévy insurance risk processes

8 citations · 15 across the 12 of their papers we have counts for

collaborators

12 papers

q-fin.MF2026

Optimization of capital injections and absolutely continuous dividend payments in a diffusion model

Hélène Guérin, Dante Mata, Jean-François Renaud +1

We investigate a joint optimization problem of dividend payments and capital injections for a surplus process driven by a general diffusion. Dividend payments are assumed to be abs…

math.PR2026

Insurance risk models in a heterogeneous time-dependent population: scaling limits and ruin probabilities

Hélène Guérin, Michel Mandjes, Jean-François Renaud +1

Epidemic dynamics introduce time-varying heterogeneity into insured populations, as individuals' risk profiles depend on their evolving health status, thereby challenging classical…

math.PR2023

A note on the optimal dividends problem with transaction costs in a spectrally negative Lévy model with Parisian ruin

Jean-François Renaud

In this note, merging ideas from Loeffen (2009) and Renaud (2019), we prove that an (a,b)-strategy maximizes dividend payments subject to fixed transaction costs in a spectrally ne…

math.PR2020

A stochastic control problem with linearly bounded control rates in a Brownian model

Jean-François Renaud, Clarence Simard

Aiming for more realistic optimal dividend policies, we consider a stochastic control problem with linearly bounded control rates using a performance function given by the expected…

math.PR2019

De Finetti's control problem with Parisian ruin for spectrally negative Lévy processes

Jean-François Renaud

We consider de Finetti's stochastic control problem when the (controlled) process is allowed to spend time under the critical level. More precisely, we consider a generalized versi…

math.PR2016

Pricing occupation-time options in a mixed-exponential jump-diffusion model

Djilali Ait Aoudia, Jean-François Renaud

In this short paper, in order to price occupation-time options, such as (double-barrier) step options and quantile options, we derive various joint distributions of a mixed-exponen…