Subexponential tails of discounted aggregate claims in a time-dependent renewal risk model
DOI10.1239/aap/1293113154zbMath1205.62061OpenAlexW2056287528MaRDI QIDQ3074498
Jinzhu Li, Rong Wu, Qi-he Tang
Publication date: 9 February 2011
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1239/aap/1293113154
asymptoticsuniformityextended regular variationdependencesubexponentialitydiscounted aggregate claims
Applications of statistics to actuarial sciences and financial mathematics (62P05) Measures of association (correlation, canonical correlation, etc.) (62H20) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Statistics of extreme values; tail inference (62G32) Applications of renewal theory (reliability, demand theory, etc.) (60K10)
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Cites Work
- A ruin model with dependence between claim sizes and claim intervals
- On the discounted penalty function in a Markov-dependent risk model
- An introduction to copulas.
- The ruin probability of the renewal model with constant interest force and negatively dependent heavy-tailed claims
- A uniform asymptotic estimate for discounted aggregate claims with subexponential tails
- Subexponential asymptotics for stochastic processes: Extremal behavior, stationary distributions and first passage probabilities
- 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.
- Randomly weighted sums of subexponential random variables with application to ruin theory
- Impact of correlation crises in risk theory: Asymptotics of finite-time ruin probabilities for heavy-tailed claim amounts when some independence and stationarity assumptions are relaxed
- On the compound Poisson risk model with dependence based on a generalized Farlie-Gumbel-Morgenstern copula
- Extremes on the discounted aggregate claims in a time dependent risk model
- On Sums of Conditionally Independent Subexponential Random Variables
- The finite-time ruin probability of the compound Poisson model with constant interest force
- On a risk model with dependence between interclaim arrivals and claim sizes
- Insensitivity to Negative Dependence of Asymptotic Tail Probabilities of Sums and Maxima of Sums
- Sums of Pairwise Quasi-Asymptotically Independent Random Variables with Consistent Variation
- Dependent Risk Models with Bivariate Phase-Type Distributions
- Ruin probabilities in the presence of heavy-tails and interest rates
- Finite- and infinite-time ruin probabilities in the presence of stochastic returns on investments
- Tail probabilities for non-standard risk and queueing processes with subexponential jumps
- Heavy Tails of Discounted Aggregate Claims in the Continuous-Time Renewal Model
- Finite-Time Ruin Probability with Heavy-Tailed Claims and Constant Interest Rate
- Exponential Behavior in the Presence of Dependence in Risk Theory
- A Note on Cumulative Sums
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item