Asymptotic Ruin Probabilities for a Bivariate Lévy-Driven Risk Model with Heavy-Tailed Claims and Risky Investments
From MaRDI portal
Publication:4903034
DOI10.1239/jap/1354716649zbMath1255.91180OpenAlexW1994485761MaRDI QIDQ4903034
Publication date: 19 January 2013
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jap/1354716649
tail probabilityLévy processfinite-time and infinite-time ruin probabilitiesstochastic difference equation(extended) regular variation
Processes with independent increments; Lévy processes (60G51) Statistical methods; risk measures (91G70) Stochastic difference equations (39A50)
Related Items
On joint ruin probability for a bidimensional Lévy-driven risk model with stochastic returns and heavy-tailed claims ⋮ Distribution tails of a history-dependent random linear recursion ⋮ Asymptotic ruin probabilities for a discrete-time risk model with dependent insurance and financial risks ⋮ A revisit to ruin probabilities in the presence of heavy-tailed insurance and financial risks ⋮ ASYMPTOTICS FOR A DISCRETE-TIME RISK MODEL WITH THE EMPHASIS ON FINANCIAL RISK ⋮ Ruin in a continuous-time risk model with arbitrarily dependent insurance and financial risks triggered by systematic factors ⋮ Asymptotics for ruin probabilities in Lévy-driven risk models with heavy-tailed claims ⋮ Ruin probability of a continuous-time model with dependence between insurance and financial risks caused by systematic factors ⋮ Risk- and value-based management for non-life insurers under solvency constraints ⋮ On a two-dimensional risk model with time-dependent claim sizes and risky investments ⋮ Large portfolio losses in a turbulent market ⋮ Interplay of insurance and financial risks in a discrete-time model with strongly regular variation ⋮ Uniform tail asymptotics for the aggregate claims with stochastic discount in the renewal risk models ⋮ A new family of heavy tailed distributions with an application to the heavy tailed insurance loss data
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic results for renewal risk models with risky investments
- Ruin probabilities under general investments and heavy-tailed claims
- Uniform tail asymptotics for the stochastic present value of aggregate claims in the renewal risk model
- Implicit renewal theory and tails of solutions of random equations
- Ruin models with investment income
- Integrated insurance risk models with exponential Lévy investment
- Approximation of the tail probability of randomly weighted sums and applications
- Ruin theory with compounding assets -- a survey
- Subexponential asymptotics for stochastic processes: Extremal behavior, stationary distributions and first passage probabilities
- Subexponentiality of the product of independent random variables
- Regular variation in the tail behaviour of solutions of random difference equations
- Estimates for the ruin probability in the classical risk model with constant interest force in the presence of heavy tails.
- Ruin under interest force and subexponential claims: a simple treatment.
- Power tailed ruin probabilities in the presence of risky investments.
- Sharp conditions for certain ruin in a risk process with stochastic return on investments
- In the insurance business risky investments are dangerous
- On Cramér-like asymptotics for risk processes with stochastic return on investments
- Introductory lectures on fluctuations of Lévy processes with applications.
- Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks.
- On a stochastic difference equation and a representation of non–negative infinitely divisible random variables
- The finite-time ruin probability of the compound Poisson model with constant interest force
- Sums of Pairwise Quasi-Asymptotically Independent Random Variables with Consistent Variation
- Finite-time ruin probability with an exponential Lévy process investment return and heavy-tailed claims
- Moving averages with random coefficients and random coefficient autoregressive models
- Ruin probabilities in the presence of heavy-tails and interest rates
- Asymptotics for Weighted Random Sums