Distributions of exponential integrals of independent increment processes related to generalized gamma convolutions
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Publication:1932223
DOI10.3150/11-BEJ382zbMath1260.60090arXiv1211.5281MaRDI QIDQ1932223
Makoto Maejima, Muneya Matsui, Anita Behme, Noriyoshi Sakuma
Publication date: 17 January 2013
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.5281
Infinitely divisible distributions; stable distributions (60E07) Processes with independent increments; Lévy processes (60G51)
Related Items (3)
A class of probability distributions that is closed with respect to addition as well as multiplication of independent random variables ⋮ On exponential functionals of Lévy processes ⋮ Second-order tail behavior for stochastic discounted value of aggregate net losses in a discrete-time risk model
Cites Work
- Unnamed Item
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- Continuity properties of decomposable probability measures on Euclidean spaces
- Some classes of multivariate infinitely divisible distributions admitting stochastic integral representations
- Generalized gamma convolutions, Dirichlet means, Thorin measures, with explicit examples
- Continuity properties and infinite divisibility of stationary distributions of some generalized Ornstein-Uhlenbeck processes
- Generalized gamma convolutions and related classes of distributions and densities
- Stability of perpetuities
- A note on self-decomposability of stable process subordinated to self-decomposable subordina\-tor
- Some properties of exponential integrals of Levy processes and examples
- Tail asymptotics for exponential functionals of Lévy processes
- Properties of stationary distributions of a sequence of generalized Ornstein-Uhlenbeck processes
- Distributional properties of solutions of dVt = Vt-dUt + dLt with Lévy noise
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