Implicit renewal theory for exponential functionals of Lévy processes
From MaRDI portal
Publication:6171652
DOI10.1016/j.spa.2023.06.004zbMath1517.60115arXiv1510.01809OpenAlexW2216213908MaRDI QIDQ6171652
Jonas Arista, Víctor Manuel Rivero
Publication date: 14 August 2023
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.01809
Infinitely divisible distributions; stable distributions (60E07) Processes with independent increments; Lévy processes (60G51) Continuous-time Markov processes on general state spaces (60J25) Self-similar stochastic processes (60G18) Renewal theory (60K05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exponential functional of Lévy processes: generalized Weierstrass products and Wiener-Hopf factorization
- On the Mellin transforms of the perpetuity and the remainder variables associated to a subordinator
- On the law of the supremum of Lévy processes
- Law of the absorption time of some positive self-similar Markov processes
- Distributional properties of exponential functionals of Lévy processes
- Extended factorizations of exponential functionals of Lévy processes
- On exponential functionals of Lévy processes
- Quasi-stationary distributions and Yaglom limits of self-similar Markov processes
- Implicit renewal theory and tails of solutions of random equations
- Sinaǐ's condition for real valued Lévy processes
- Convolution equivalence and distributions of random sums
- Exponential functionals of Lévy processes
- Inverse problems for regular variation of linear filters, a cancellation property for \(\sigma\)-finite measures and identification of stable laws
- Cramér's estimate for Lévy processes
- On the entire moments of self-similar Markov processes and exponential functionals of Lévy processes
- Entrance from \(0+\) for increasing semi-stable Markov processes
- Bernstein-gamma functions and exponential functionals of Lévy processes
- Conditioned real self-similar Markov processes
- Ruin probabilities and overshoots for general Lévy insurance risk processes
- On subordinators, self-similar Markov processes and some factorizations of the exponential variable
- Tail asymptotics for exponential functionals of Lévy processes: the convolution equivalent case
- On the law of killed exponential functionals
- Fluctuations of Lévy processes with applications. Introductory lectures
- On the density of exponential functionals of Lévy processes
- Tail asymptotics for exponential functionals of Lévy processes
- On the rate of convergence in the Kesten renewal theorem
- Recurrent extensions of self-similar Markov processes and Cramér's condition
- On powers of Stieltjes moment sequences, I
- A Wiener-Hopf type factorization for the exponential functional of Lévy processes
- VOTRE LÉVY RAMPE-T-IL?
- Rate of convergence for the generalized Pareto approximation of the excesses
- ON A FLUCTUATION IDENTITY FOR RANDOM WALKS AND LÉVY PROCESSES
- Convolution equivalence and infinite divisibility
- Perpetuities with thin tails
- Spectral expansions of non-self-adjoint generalized Laguerre semigroups
- On exponential functionals, harmonic potential measures and undershoots of subordinators
- Semi-stable Markov processes. I
- Convolution Equivalence and Infinite Divisibility: Corrections and Corollaries
- On Absolutely Continuous Components and Renewal Theory
- Strong Renewal Theorems with Infinite Mean
- Exponential functionals of Brownian motion and related processes
This page was built for publication: Implicit renewal theory for exponential functionals of Lévy processes