Precise large deviations for dependent subexponential variables
From MaRDI portal
Publication:2040065
DOI10.3150/20-BEJ1276zbMath1480.60062arXiv2009.05790OpenAlexW3154596583MaRDI QIDQ2040065
Publication date: 9 July 2021
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.05790
large deviation probabilityregular variationstationary sequenceGumbel distributionsubexponential distributionFréchet distributionmaximum domain of attraction
Related Items (2)
Large deviations of \(\ell^p\)-blocks of regularly varying time series and applications to cluster inference ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A large deviations approach to limit theory for heavy-tailed time series
- Large deviations for solutions to stochastic recurrence equations under Kesten's condition
- Precise large deviations for dependent regularly varying sequences
- Bivariate extreme statistics. I
- Large deviations for random walks under subexponentiality: The big-jump domain
- Asymptotics of sums of lognormal random variables with Gaussian copula
- Regularly varying multivariate time series
- Extremes of moving averages of random variables from the domain of attraction of the double exponential distribution
- Residual life time at great age
- Statistical inference using extreme order statistics
- The supremum of a negative drift random walk with dependent heavy-tailed steps.
- Point process and partial sum convergence for weakly dependent random variables with infinite variance
- Sample path large deviations for Lévy processes and random walks with regularly varying increments
- Functional large deviations for multivariate regularly varying random walks
- Slowly varying functions and asymptotic relations
- Large deviations and ruin probabilities for solutions to stochastic recurrence equations with heavy-tailed innovations
- Stochastic Models with Power-Law Tails
- An Extremal Problem in Probability Theory
- Handbook of Financial Time Series
- On a Property of Sums of Independent Random Variables
- Applied Probability and Queues
- An Introduction to Heavy-Tailed and Subexponential Distributions
- Heavy-Tail Phenomena
- Some Limit Theorems for Large Deviations
- Integral Limit Theorems Taking Large Deviations Into Account When Cramér’s Condition Does Not Hold. II
- Probability Inequalities for Sums of Independent Random Variables
- Large deviations of sums of independent random variables
This page was built for publication: Precise large deviations for dependent subexponential variables