Precise large deviations for the difference of two sums of WUOD and non identically distributed random variables with dominatedly varying tails
DOI10.1080/03610926.2015.1032424zbMath1360.60065OpenAlexW2557132370MaRDI QIDQ2979978
Dawei Lu, Xiaomeng Qi, Lixin Song, Zhiqiang Hua
Publication date: 27 April 2017
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03610926.2015.1032424
dominatedly varying tailprecise large deviationsnon-identical distributionswidely upper orthant dependence
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Large deviations (60F10)
Cites Work
- Precise large deviations for dependent random variables with applications to the compound renewal risk model
- Uniform asymptotics of the finite-time ruin probability for all times
- Precise large deviations of random sums in presence of negative dependence and consistent variation
- Lower bounds of large deviation for sums of long-tailed claims in a multi-risk model
- Lower and upper bounds of large deviation for sums of subexponential claims in a multi-risk model
- Precise large deviations for widely orthant dependent random variables with dominatedly varying tails
- Basic renewal theorems for random walks with widely dependent increments
- Insensitivity to negative dependence of the asymptotic behavior of precise large deviations
- Precise large deviations for sums of negatively associated random variables with common dominatedly varying tails
- Precise large deviations for dependent random variables with heavy tails
- Some concepts of negative dependence
- Subexponentiality of the product of independent random variables
- Large deviations for sums of independent heavy-tailed random variables
- 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 estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks.
- Precise Large Deviations for Sums of Independent Random Variables with Consistently Varying Tails
- Large deviations of heavy-tailed random sums with applications in insurance and finance
- Precise large deviations for sums of random variables with consistently varying tails
- The Ruin Probability of a Discrete Time Risk Model under Constant Interest Rate with Heavy Tails
- Precise Large Deviations for Sums of Random Variables with Consistently Varying Tails in Multi-Risk Models
- Large deviations for heavy-tailed random sums in compound renewal model
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