On an autoregressive process driven by a sequence of Gaussian cylindrical random variables
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Publication:4957785
DOI10.1285/i15900932v41n1p111zbMath1469.60114OpenAlexW3185023338MaRDI QIDQ4957785
Publication date: 9 September 2021
Full work available at URL: http://siba-ese.unisalento.it/index.php/notemat/article/view/24155
stationary processautoregressive processcylindrical processcylindrical measurecylindrical random variable
Cites Work
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- A weak stochastic integral in Banach space with application to a linear stochastic differential equation
- On a continuous analogue of the stochastic difference equation \(X_ n\) = rho X//(n-1) + \(B_ n\).
- Strict stationarity of generalized autoregressive processes
- Random difference equations and renewal theory for products of random matrices
- Linear processes in function spaces. Theory and applications
- Weak convergence for the covariance operators of a Hilbertian linear process.
- The stochastic Cauchy problem driven by a cylindrical Lévy process
- Limit theorems for Banach-valued autoregressive processes. Applications to real continuous time processes
- The stochastic equation Yt+1 = AtYt + Bt with non-stationary coefficients
- Cylindrical Lévy processes in Banach spaces
- Cylindrical Wiener Processes
- On a stochastic difference equation and a representation of non–negative infinitely divisible random variables
- The stochastic equation Yn+1=AnYn + Bn with stationary coefficients
- On the Continuity of the Distribution of a Sum of Dependent Variables Connected with Independent Walks on Lines
- Stochastic Differential Equation for Generalized Random Processes in a Banach Space
- Stochastic Partial Differential Equations with Levy Noise
- Stochastic Equations in Infinite Dimensions