Operator-selfdecomposable distributions as limit distributions of processes of Ornstein-Uhlenbeck type
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Publication:789804
DOI10.1016/0304-4149(84)90312-0zbMath0533.60021OpenAlexW2061416793MaRDI QIDQ789804
Publication date: 1984
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0304-4149(84)90312-0
infinitely divisible distributionOL distributionoperator- selfdecomposable distributionprocess of Ornstein-Uhlenbeck type
Infinitely divisible distributions; stable distributions (60E07) Continuous-time Markov processes on general state spaces (60J25)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limit distributions and one-parameter groups of linear operators on Banach spaces
- Class L of multivariate distributions and its subclasses
- A characterization of Levy probability distribution functions on Euclidean spaces
- Operator-stable distribution on \(R^ 2\) with multiple exponents
- Operator-stable laws
- On a continuous analogue of the stochastic difference equation \(X_ n\) = rho X//(n-1) + \(B_ n\).
- Absolute continuity of multivariate distributions of class L
- Structure of a class of operator-selfdecomposable probability measures
- On the unimodality of multivariate symmetric distribution functions of class L
- Unimodality of infinitely divisible distribution functions of class L
- A limit theorem of branching processes and continuous state branching processes
- An integral representation for selfdecomposable banach space valued random variables
- Stationary distributions for dams with additive input and content-dependent release rate
- On distribution functions of class L
- Operator-Stable Probability Distributions on Vector Groups
- A stochastic integral in storage theory
- On the Continuity Properties of $L$ Functions
- Lévy's probability measures on Euclidean spaces
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