Published November 15, 2025 | Version v1
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Complementary Material for "Risk Modelling: Analysis, Simulation and Optimization"

Description

The collection of files consists of Mathematica and R Code which was created for the purpose of illustrating the theoretical results presented in the publications by means of numerical examples.

The files in this record are associated to publications in the following way:

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Exact asymptotics of ruin probabilities with linear Hawkes arrivals (Palmowski, Pojer, Thonhauser), Stochastic Processes and their Applications 182

MonteCarlo_Hawkes.nb, simulation_hawkes_slow_butexact.nb

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The Markovian shot-noise risk model: a numerical method for Gerber-Shiu functions (Pojer, Thonhauser), Methodology and Computing in Applied Probability 25 (1), 17
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Ruin probabilities in a Markovian shot-noise environment (Pojer, Thonhauser), Journal of Applied Probability 60 (2), 542-556

Simulation_GS_Function.nb, mc_bounded_process.nb, MC_simply_lambda.nb, MonteCarlo_ShotNoise_ruinprobability.nb, Numerical_Method_Gerber_Shiu_Shot_Noise.nb, Plots.nb

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Optimal reinsurance in a competitive market (Enzi, Thonhauser) Mathematical Methods of Operations Research 2025

Excess of Loss_Exponential.R, Excess of Loss_Pareto.R, Proportional_ExponentialClaims.R

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Numerical Computation of Risk Functionals in PDMP Risk Models (Enzi, Thonhauser) Monte Carlo and Quasi-Monte Carlo Methods: MCQMC 2022

MC Ruin probability.nb, QMC.nb, Quantization.nb

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Regularity of a best-of option's payoff (Nachbagauer, Thonhauser) In: Problèmes diophantiens: déterminisme, aléa et applications: Panoramas et Synthèses

 
Illustrations_BestOfOption6dMinVar.nb and the additional Sobol point sets containd in the files Sobol6d30.csv -- Sobol6d100.csv.
 
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Additional details

Related works

Is supplement to
Publication: 10.1007/978-3-031-59762-6_10 (DOI)
Publication: 10.1007/s00186-025-00903-5 (DOI)
Publication: 10.1007/s11009-023-10001-w (DOI)
Publication: 10.1016/j.spa.2025.104571 (DOI)
Publication: 10.1017/jpr.2022.63 (DOI)

Funding

FWF Austrian Science Fund
Risk Modelling: Analysis, Simulation and Optimization P33317