Componentwise different tail solutions for bivariate stochastic recurrence equations with application to ${\rm GARCH}(1,1)$ processes
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Publication:4614245
DOI10.4064/cm7313A-5-2018zbMath1408.60040arXiv1706.05800OpenAlexW2963052489MaRDI QIDQ4614245
Witold Świątkowski, Muneya Matsui, Ewa Damek
Publication date: 30 January 2019
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.05800
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Extreme value theory; extremal stochastic processes (60G70) Economic time series analysis (91B84) Random operators and equations (aspects of stochastic analysis) (60H25)
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Cites Work
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- Spectral gap properties for linear random walks and Pareto's asymptotics for affine stochastic recursions
- Towards estimating extremal serial dependence via the bootstrapped extremogram
- The extremogram: a correlogram for extreme events
- Implicit renewal theory and tails of solutions of random equations
- Tail-homogeneity of stationary measures for some multidimensional stochastic recursions
- Support theorems for the Radon transform and Cramér-Wold theorems
- Stability of block-triangular stationary random matrices
- Regularly varying multivariate time series
- Regular variation and related results for the multivariate GARCH\((p,q)\) model with constant conditional correlations
- Ergodic theorems. With a supplement by Antoine Brunel
- Strict stationarity of generalized autoregressive processes
- Random difference equations and renewal theory for products of random matrices
- Regular variation of GARCH processes.
- Limit theory for the sample autocorrelations and extremes of a GARCH \((1,1)\) process.
- Point process and partial sum convergence for weakly dependent random variables with infinite variance
- Estimation in conditionally heteroscedatic time series models.
- Measures of serial extremal dependence and their estimation
- Stochastic Models with Power-Law Tails
- Tail behaviour of stationary solutions of random difference equations: the case of regular matrices
- The stochastic equation Yn+1=AnYn + Bn with stationary coefficients
- The extremogram and the cross-extremogram for a bivariate GARCH(1, 1) process
- Affine stochastic equation with triangular matrices
- Regular behavior at infinity of stationary measures of stochastic recursion on NA groups
- Fractional Moments of Solutions to Stochastic Recurrence Equations
- Heavy-Tail Phenomena