Meromorphic Lévy processes and their fluctuation identities
From MaRDI portal
Publication:433907
DOI10.1214/11-AAP787zbMath1252.60044arXiv1004.4671MaRDI QIDQ433907
Andreas E. Kyprianou, Alexey Kuznetsov, Juan Carlos Pardo
Publication date: 8 July 2012
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.4671
Processes with independent increments; Lévy processes (60G51) Sums of independent random variables; random walks (60G50)
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Cites Work
- A Jump-Diffusion Model for Option Pricing
- A Wiener-Hopf Monte Carlo simulation technique for Lévy processes
- A note on scale functions and the time value of ruin for Lévy insurance risk processes
- Fluctuation theory for Lévy processes. Ecole d'Eté de probabilités de Saint-Flour XXXV -- 2005.
- Exact and asymptotic \(n\)-tuple laws at first and last passage
- Some explicit identities associated with positive self-similar Markov processes
- Special, conjugate and complete scale functions for spectrally negative Lévy processes
- Exponential decay and ergodicity of completely asymmetric Lévy processes in a finite interval
- The joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin
- Exit problems for spectrally negative Lévy processes and applications to (Canadized) Russian options
- Optimal capital structure and endogenous default
- Wiener-Hopf factorization and distribution of extrema for a family of Lévy processes
- Principles of smooth and continuous fit in the determination of endogenous bankruptcy levels
- On several two-boundary problems for a particular class of Lévy processes
- Overshoots and undershoots of Lévy processes
- Introductory lectures on fluctuations of Lévy processes with applications.
- Some remarks on first passage of Lévy processes, the American put and pasting principles
- Old and New Examples of Scale Functions for Spectrally Negative Lévy Processes
- Wiener-Hopf Factorization of Diffusions and Lévy Processes
- Wiener-Hopf Factorization for a Family of Lévy Processes Related to Theta Functions
- First Passage Times for Symmetric Stable Processes in Space
- The Shepp–Shiryaev Stochastic Game Driven by a Spectrally Negative Lévy Process
- A transform approach to compute prices and Greeks of barrier options driven by a class of Lévy processes
- Analysis of stochastic fluid queues driven by local-time processes
- Stochastic Volatility for Lévy Processes
- On the numerical quadrature of highly-oscillating integrals I: Fourier transforms
- The Distribution of the First Hit for Stable and Asymptotically Stable Walks on an Interval
- Conditioned stable Lévy processes and the Lamperti representation
- Wiener-Hopf Factorization for Lévy Processes Having Positive Jumps with Rational Transforms
- On the distribution of the time of the first exit from an interval and the value of a jump over the boundary for processes with independent increments and random walks
- On the Correlation Structure of a Lévy-Driven Queue
- Bernstein functions. Theory and applications
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item