A large deviation result for aggregate claims with dependent claim occurrences
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Publication:882851
DOI10.1016/j.insmatheco.2005.01.004zbMath1110.62145OpenAlexW2123486001MaRDI QIDQ882851
Publication date: 24 May 2007
Published in: Insurance Mathematics \& Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.insmatheco.2005.01.004
Matuszewska indexConsistent variationNegative cumulative dependencePrecise large deviationsRandom sumsStop-loss order
Inequalities; stochastic orderings (60E15) Applications of statistics to actuarial sciences and financial mathematics (62P05) Large deviations (60F10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ruin probabilities in perturbed risk models
- Large deviations of heavy-tailed sums with applications in insurance
- Subexponentiality of the product of independent random variables
- The concept of comonotonicity in actuarial science and finance: theory.
- Does positive dependence between individual risks increase stop-loss premiums?
- Measuring the impact of dependence between claims occurrences.
- The concept of comonotonicity in actuarial science and finance: applications.
- Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks.
- Asymptotics for the Finite Time Ruin Probability in the Renewal Model with Consistent Variation
- Addendum: Probability Inequalities for Sums of Independent Random Variables
- Intermediate Regular and Π Variation
- Large deviations of heavy-tailed random sums with applications in insurance and finance
- Asymptotic results for multiplexing subexponential on-off processes
- Precise large deviations for sums of random variables with consistently varying tails
- On max-sum equivalence and convolution closure of heavy-tailed distributions and their applications
- Probability Inequalities for Sums of Independent Random Variables
- Large deviations of sums of independent random variables
- Large deviations for heavy-tailed random sums in compound renewal model
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