Tail probability of randomly weighted sums of subexponential random variables under a dependence structure
From MaRDI portal
Publication:452892
DOI10.1016/j.spl.2012.05.016zbMath1334.62029OpenAlexW2000589152MaRDI QIDQ452892
Jonas Šiaulys, Remigijus Leipus, Yang Yang
Publication date: 18 September 2012
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2012.05.016
Asymptotic distribution theory in statistics (62E20) Probability distributions: general theory (60E05)
Related Items
Randomly weighted sums under a wide type of dependence structure with application to conditional tail expectation, Uniform asymptotics for a multi-dimensional time-dependent risk model with multivariate regularly varying claims and stochastic return, On pairwise quasi-asymptotically independent random variables and their applications, A revisit to asymptotic ruin probabilities for a bidimensional renewal risk model, Unnamed Item, The finite-time ruin probability of time-dependent risk model with stochastic return and Brownian perturbation, Asymptotics for ruin probabilities in a discrete-time risk model with dependent financial and insurance risks, Asymptotic ruin probabilities for a discrete-time risk model with dependent insurance and financial risks, Conditional tail expectation of randomly weighted sums with heavy-tailed distributions, A Kesten-type inequality for randomly weighted sums of dependent subexponential random variables with applications to risk theory*, Revisiting the product of random variables, Closure property and maximum of randomly weighted sums with heavy-tailed increments, On a perturbed Sparre Andersen risk model with dividend barrier and dependence, Risk- and value-based management for non-life insurers under solvency constraints, A note on the tail behavior of randomly weighted sums with convolution-equivalently distributed random variables, A Kesten-type bound for sums of randomly weighted subexponential random variables, The finite-time ruin probability in the presence of Sarmanov dependent financial and insurance risks, A note on the tail behavior of randomly weighted and stopped dependent sums, Tail probability of randomly weighted sums of dependent subexponential random variables with applications to risk theory, On the asymptotic behavior of randomly weighted averages, The product distribution of dependent random variables with applications to a discrete-time risk model, Tail asymptotics of randomly weighted sums of dependent strong subexponential random variables
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The product of two dependent random variables with regularly varying or rapidly varying tails
- Subexponentiality of the product of independent random variables
- Randomly weighted sums of subexponential random variables with application to ruin theory
- Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks.
- Subexponential tails of discounted aggregate claims in a time-dependent renewal risk model
- Extremes on the discounted aggregate claims in a time dependent risk model
- On a Theorem of Breiman and a Class of Random Difference Equations