Ruin probabilities for risk processes with non-stationary arrivals and subexponential claims

From MaRDI portal
Publication:2015621

DOI10.1016/j.insmatheco.2013.08.008zbMath1290.91107arXiv1304.1940OpenAlexW2963002972MaRDI QIDQ2015621

Lingjiong Zhu

Publication date: 23 June 2014

Published in: Insurance Mathematics \& Economics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.1940




Related Items (35)

Locally stationary Hawkes processesRUIN PROBABILITIES FOR A MULTIDIMENSIONAL RISK MODEL WITH NON-STATIONARY ARRIVALS AND SUBEXPONENTIAL CLAIMSMean-Variance Portfolio Selection in Contagious MarketsLimit Theorems for a Cox-Ingersoll-Ross Process with Hawkes JumpsLimit Theorems for Marked Hawkes Processes with Application to a Risk ModelMoments of renewal shot-noise processes and their applicationsPrecise deviations for Cox processes with a shot noise intensityAsymptotic ruin probabilities for a bidimensional risk model with heavy-tailed claims and non-stationary arrivalsLimit theorems for the compensator of Hawkes processesHawkes processes in insurance: risk model, application to empirical data and optimal investmentPrecise large deviations in a bidimensional risk model with arbitrary dependence between claim-size vectors and waiting timesUnnamed ItemModerate deviations for marked Hawkes processesAsymptotics for random-time ruin probability of a risk model with diffusion, constant interest force and non-stationary arrivalsPOT-based estimator of the ruin probability in infinite time for loss models: An application to insurance riskAsymptotic results for a class of Markovian self-exciting processesA risk model with renewal shot-noise Cox processOptimal insurance contracts for a shot-noise Cox claim process and persistent insured's actionsDiffusion approximation of a risk model with non-stationary Hawkes arrivals of claimsUnnamed ItemModerate deviations for a Hawkes-type risk model with arbitrary dependence between claim sizes and waiting timesA GENERALIZED CONTAGION PROCESS WITH AN APPLICATION TO CREDIT RISKLarge deviations and applications for Markovian Hawkes processes with a large initial intensityTransform approach for discounted aggregate claims in a risk model with descendant claimsAsymptotic analysis for affine point processes with large initial intensityPrecise deviations for Hawkes processesPrecise large deviations of aggregate claims in a risk model with size dependence and non stationary arrivalsLimit theorems for non-Markovian marked dynamic contagion processesLimit theorems for inverse process \(T_n\) of Hawkes processAsymptotics for Hawkes processes with large and small baseline intensitiesFunctional limit theorems for marked Hawkes point measuresLimit theorems for an inverse Markovian Hawkes processOn the total claim amount for marked Poisson cluster modelsLarge deviations for Markovian nonlinear Hawkes processesLimit theorems for discrete Hawkes processes




Cites Work




This page was built for publication: Ruin probabilities for risk processes with non-stationary arrivals and subexponential claims