Precise large deviations for the aggregate claims in a dependent compound renewal risk model
DOI10.1186/S13660-019-2209-1zbMath1499.91024OpenAlexW2977382627MaRDI QIDQ2068032
Publication date: 19 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-019-2209-1
compound renewal risk modelprecise large deviationsupper tail asymptotically independencepairwise negatively quadrant dependencethe dominated variation class
Asymptotic distribution theory in statistics (62E20) Applications of statistics to actuarial sciences and financial mathematics (62P05) Large deviations (60F10) Renewal theory (60K05) Risk models (general) (91B05)
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Cites Work
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- Precise large deviations for dependent random variables with applications to the compound renewal risk model
- Uniform asymptotics for the finite-time ruin probability with upper tail asymptotically independent claims and constant force of interest
- Precise large deviations for consistently varying-tailed distributions in the compound renewal risk model
- A note on a dependent risk model with constant interest rate
- Tail asymptotics for the supremum of a random walk when the mean is not finite
- Finite-time ruin probability of a nonstandard compound renewal risk model with constant force of interest
- Asymptotics for risk capital allocations based on conditional tail expectation
- Precise large deviations for widely orthant dependent random variables with dominatedly varying tails
- 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
- A property of the renewal counting process with application to the finite-time ruin probability
- Asymptotic tail probabilities of sums of dependent subexponential random variables
- Some concepts of negative dependence
- Asymptotic lower bounds of precise large deviations with nonnegative and dependent random variables
- Uniform asymptotics for the finite-time ruin probability of a dependent risk model with a constant interest rate
- Precise large deviations for generalized dependent compound renewal risk model with consistent variation
- Asymptotics for a bidimensional risk model with two geometric Lévy price processes
- Asymptotics for ruin probabilities of a non-standard renewal risk model with dependence structures and exponential Lévy process investment returns
- Precise large deviations of aggregate claims in a size-dependent renewal risk model
- Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks.
- On pairwise quasi-asymptotically independent random variables and their applications
- Precise Large Deviations for Sums of Negatively Dependent Random Variables with Common Long-Tailed Distributions
- Uniform Asymptotics for Discounted Aggregate Claims in Dependent Risk Models
- Ruin probabilities in the presence of heavy-tails and interest rates
- An Introduction to Heavy-Tailed and Subexponential Distributions
- Uniform asymptotics for ruin probabilities in a dependent renewal risk model with stochastic return on investments
- Heavy Tails of Discounted Aggregate Claims in the Continuous-Time Renewal Model
- Finite-Time Ruin Probability with Heavy-Tailed Claims and Constant Interest Rate
- Some Concepts of Dependence
- Large deviations for heavy-tailed random sums in compound renewal model
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