A class of risk processes with delayed claims: ruin probability estimates under heavy tail conditions
From MaRDI portal
Publication:5441512
DOI10.1239/jap/1165505197zbMath1142.91581OpenAlexW1974043471MaRDI QIDQ5441512
Ayalvadi J. Ganesh, Giovanni Luca Torrisi
Publication date: 15 February 2008
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1239/jap/1165505197
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (13)
Tail behavior of Poisson shot noise processes under heavy-tailed shocks and actuarial applications ⋮ Sample path large deviations for the multiplicative Poisson shot noise process with compensation ⋮ Functional limit theorems for a new class of non-stationary shot noise processes ⋮ Modeling LEAST RECENTLY USED caches with Shot Noise request processes ⋮ Functional Limit Theorems for Shot Noise Processes with Weakly Dependent Noises ⋮ Unnamed Item ⋮ Moderate deviations for a risk model based on the customer-arrival process ⋮ An IBNR-RBNS insurance risk model with marked Poisson arrivals ⋮ Risk processes with non-stationary Hawkes claims arrivals ⋮ Large deviations of Poisson shot noise processes under heavy tail semi-exponential conditions ⋮ Sample Path Large Deviations of Poisson Shot Noise with Heavy-Tailed Semiexponential Distributions ⋮ Asymptotic analysis of Poisson shot noise processes, and applications ⋮ Ruin problems under IBNR dynamics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Estimates for the probability of ruin with special emphasis on the possibility of large claims
- Ruin probabilities allowing for delay in claims settlement
- Asymptotic behaviour of Wiener-Hopf factors of a random walk
- Large deviations of heavy-tailed sums with applications in insurance
- Large deviations results for subexponential tails, with applications to insurance risk
- Regular variation in the mean and stable limits for Poisson shot noise
- Explosive Poisson shot noise processes with applications to risk reserves
- Ruin probabilities and aggregrate claims distributions for shot noise Cox processes
- Distributions that are both subexponential and in the domain of attraction of an extreme-value distribution
- An insensitivity property of Lundberg's estimate for delayed claims
- Tail probabilities for non-standard risk and queueing processes with subexponential jumps
- Delay in claim settlement and ruin probability approximations
- On Ultimate Ruin in a Delayed-Claims Risk Model
- Lundberg parameters for non standard risk processes
- Exponential Behavior in the Presence of Dependence in Risk Theory
This page was built for publication: A class of risk processes with delayed claims: ruin probability estimates under heavy tail conditions