Conditions for convergence of random coefficient \(\mathrm{AR}(1)\) processes and perpetuities in higher dimensions
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Publication:2448719
DOI10.3150/13-BEJ513zbMath1296.60073arXiv1403.3280OpenAlexW2123006142MaRDI QIDQ2448719
Publication date: 5 May 2014
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.3280
Related Items (4)
On solutions of the distributional Bellman equation ⋮ Non-standard limits for a family of autoregressive stochastic sequences ⋮ Recurrence and transience of contractive autoregressive processes and related Markov chains ⋮ The dynamics of stochastic mono-molecular reaction systems in stochastic environments
Cites Work
- Unnamed Item
- On the multidimensional stochastic equation \(Y_{n+1}=A_{n} Y_{n}+B_{n}\)
- A log-type moment result for perpetuities and its application to martingales in supercritical branching random walks
- A random difference equation
- Products of random affine transformations
- Random coefficient autoregressive models: an introduction
- Time series: theory and methods.
- Strict stationarity of generalized autoregressive processes
- Random difference equations and renewal theory for products of random matrices
- Subadditive ergodic theory
- Stability of perpetuities
- Strictly stationary solutions of autoregressive moving average equations
- On a stochastic difference equation and a representation of non–negative infinitely divisible random variables
- Non‐parametric Bayesian Inference for Integrals with respect to an Unknown Finite Measure
- Markov Chains and Stochastic Stability
- The stochastic equation Yn+1=AnYn + Bn with stationary coefficients
- Linear functionals and Markov chains associated with Dirichlet processes
- Autoregressive series with random parameters
- Products of Random Matrices
- A note on the Borel-Cantelli lemma
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