The tail of the stationary distribution of a random coefficient \(\text{AR}(q)\) model.
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Publication:1879899
DOI10.1214/105051604000000189zbMath1094.62114arXivmath/0405297OpenAlexW1986863356MaRDI QIDQ1879899
Serguei Pergamenchtchikov, Claudia Klüppelberg
Publication date: 15 September 2004
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0405297
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Markov chains and stochastic stability
- Implicit renewal theory and tails of solutions of random equations
- Random coefficient autoregressive models: an introduction
- Random difference equations and renewal theory for products of random matrices
- Renewal theory for functionals of a Markov chain with general state space
- Renewal theory for functionals of a Markov chain with compact state space.
- Regular variation of GARCH processes.
- Extremal behaviour of solutions to a stochastic difference equation with applications to ARCH processes
- Limit theory for the sample autocorrelations and extremes of a GARCH \((1,1)\) process.
- Stability of perpetuities
- The tail of the stationary distribution of an autoregressive process with \(\text{ARCH}(1)\) errors
- RANDOM COEFFICIENT AUTOREGRESSIVE PROCESSES:A MARKOV CHAIN ANALYSIS OF STATIONARITY AND FINITENESS OF MOMENTS
- Iterated Random Functions
- Tail behaviour of the stationary density of general non-linear autoregressive processes of order 1
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