On a continuous analogue of the stochastic difference equation \(X_ n\) = rho X//(n-1) + \(B_ n\).
From MaRDI portal
Publication:1162761
DOI10.1016/0304-4149(82)90050-3zbMath0482.60062OpenAlexW1977401558MaRDI QIDQ1162761
Publication date: 1982
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0304-4149(82)90050-3
Related Items
Completely operator-selfdecomposable distributions and operator-stable distributions, On an autoregressive process driven by a sequence of Gaussian cylindrical random variables, On stationary solutions of delay differential equations driven by a Lévy process., Supremum self-decomposable random vectors, Structural properties of generalised Planck distributions, Representation of stationary and stationary increment processes via Langevin equation and self-similar processes, Heavy-traffic limits for many-server queues with service interruptions, Markov-modulated generalized Ornstein-Uhlenbeck processes and an application in risk theory, The limits of nested subclasses of several classes of infinitely divisible distributions are identical with the closure of the class of stable distributions, The Distribution of a Perpetuity, with Applications to Risk Theory and Pension Funding, Random integral representations for classes of limit distributions similar to Lévy class \(L_ 0\), Shot Noise Distributions and Selfdecomposability, CGMM LASSO-type estimator for the process of Ornstein-Uhlenbeck type, Completely positive operators and processes of Ornstein-Uhlenbeck type, Inversions of infinitely divisible distributions and conjugates of stochastic integral mappings, Delay differential equations driven by Lévy processes: stationarity and Feller properties, Characteristic function estimation of non-Gaussian Ornstein-Uhlenbeck processes, An integral representation of dilatively stable processes with independent increments, A density function connected with a non-negative self-decomposable random variable, Multivariate CARMA processes, A recurrence criterion for Markov processes of Ornstein-Uhlenbeck type, The Hausdorff dimension of the range for the Markov processes of Ornstein-Uhlenbeck type, Semi-parametric estimation of the autoregressive parameter in non-Gaussian Ornstein–Uhlenbeck processes, Ergodicity and transience of SDEs driven by -stable processes with Markovian switching, \(\alpha \)-selfdecomposable distributions and related Ornstein-Uhlenbeck type processes, The random integral representation conjecture: a quarter of a century later, Tail asymptotics for exponential functionals of Lévy processes: the convolution equivalent case, Prediction of Lévy-driven CARMA processes, Inference procedures for stable-Paretian stochastic volatility models, On the exponential ergodicity of \((2+2)\)-affine processes in total variation distances, Barndorff-Nielsen and Shephard model: oil hedging with variance swap and option, Stochastic integral and series representations for strictly stable distributions, Foundations of quantum mechanics: The Langevin equations for QM, Lévy measures of infinitely divisible positive processes: examples and distributional identities, Invariant measures and a stability theorem for locally Lipschitz stochastic delay equations, Test for autocorrelation change in discretely observed Ornstein-Uhlenbeck processes driven by Lévy processes, Classes of infinitely divisible distributions on \(\mathbb R^d\) related to the class of selfdecomposable distributions, Quasi Ornstein-Uhlenbeck processes, Invariant measure for the stochastic Cauchy problem driven by a cylindrical Lévy process, Quasi-likelihood analysis for the stochastic differential equation with jumps, Recent results in the theory and applications of CARMA processes, Remarks on the factorization property of some random integrals, Transition law-based simulation of generalized inverse Gaussian Ornstein-Uhlenbeck processes, A generalized hyperbolic model for a risky asset with dependence, Exact Simulation of Variance Gamma-Related OU Processes: Application to the Pricing of Energy Derivatives, Turán inequalities and complete monotonicity for a class of entire functions, On exit times of Levy-driven Ornstein-Uhlenbeck processes, Gibbs and autoregressive Markov processes, Selfdecomposable fields, Two novel characterizations of self-decomposability on the half-line, Local asymptotic mixed normality for semimartingale experiments, Simulation of Lévy-driven Ornstein-Uhlenbeck processes with given marginal distribution, Parameter estimation of selfsimilarity exponents, Self-similar processes with independent increments associated with Lévy and Bessel processes., Existence and uniqueness of stationary Lévy-driven CARMA processes, A stochastic-difference-equation model for hedge-fund returns, Ornstein-Uhlenbeck processes for geophysical data analysis, On the relation between GARCH and stable processes, A characterization of random-coefficient AR(1) models, Volatility and variance swap using superposition of the Barndorff-Nielsen and Shephard type Lévy processes, Limit theorems, scaling of moments and intermittency for integrated finite variance supOU processes, A characterization of subclasses of semi-selfdecomposable distributions by stochastic integral representations, Infinite divisibility of solutions to some self-similar integro-differential equations and exponential functionals of Lévy processes, Convergence of integrated superpositions of Ornstein-Uhlenbeck processes to fractional Brownian motion, Classes of Infinitely Divisible Distributions and Examples, Lévy processes in free probability, Jumps in intensity models: investigating the performance of Ornstein-Uhlenbeck processes in credit risk modeling, Embedding a stochastic difference equation into a continuous-time process, A structural Heath–Jarrow–Morton framework for consistent intraday spot and futures electricity prices, Exact simulation of Ornstein–Uhlenbeck tempered stable processes, Neural network-based parameter estimation of stochastic differential equations driven by Lévy noise, Operator-selfdecomposable distributions as limit distributions of processes of Ornstein-Uhlenbeck type, Random integral representation of operator-semi-self-similar processes with independent incre\-ments., Fast simulation of tempered stable Ornstein-Uhlenbeck processes, Tempered positive Linnik processes and their representations, An integral representation for selfdecomposable banach space valued random variables, On the Range of Exponential Functionals of Lévy Processes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Absolute continuity of infinitely divisible distributions
- Unimodality of infinitely divisible distribution functions of class L
- On a stochastic difference equation and a representation of non–negative infinitely divisible random variables
- A condition for absolute continuity of infinitely divisible distribution functions
- On the Continuity of the Distribution of a Sum of Dependent Variables Connected with Independent Walks on Lines
- Lipschitz Behavior and Integrability of Characteristic Functions
- A characterization of stable processes
- On the Unimodality of $L$ Functions
- On the Continuity Properties of $L$ Functions
- On a Stochastic Approximation Method