On q-scale functions of spectrally negative Lévy processes
From MaRDI portal
Publication:6043460
DOI10.1017/apr.2022.10zbMath1527.60034arXiv2109.09359OpenAlexW3199193247WikidataQ113858383 ScholiaQ113858383MaRDI QIDQ6043460
Unnamed Author, Anita Behme, Rene L. Schilling
Publication date: 5 May 2023
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.09359
Laplace transformsmoothnessseries expansionsBernstein functionsVolterra equationsspectrally one-sided Lévy processes\(q\)-scale functionsDoney's conjecture
Processes with independent increments; Lévy processes (60G51) Probabilistic potential theory (60J45) Actuarial mathematics (91G05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- (Non)Differentiability and asymptotics for potential densities of subordinators
- Smoothness of scale functions for spectrally negative Lévy processes
- On positive, nonincreasing resolvents of Volterra equations
- Potential theory of special subordinators and subordinate killed stable processes
- Fluctuation theory for Lévy processes. Ecole d'Eté de probabilités de Saint-Flour XXXV -- 2005.
- Convexity and smoothness of scale functions and de Finetti's control problem
- On Volterra equations of the first kind
- Exponential decay and ergodicity of completely asymmetric Lévy processes in a finite interval
- Phase-type Fitting of scale functions for spectrally negative Lévy processes
- Fluctuations of Lévy processes with applications. Introductory lectures
- Green function estimates and Harnack inequality for subordinate Brownian motions
- Evaluating first-passage probabilities for spectrally one-sided Lévy processes
- Old and New Examples of Scale Functions for Spectrally Negative Lévy Processes
- The Theory of Scale Functions for Spectrally Negative Lévy Processes
- The two-sided exit problem for spectrally positive Lévy processes
- Exit problem for a spectrally positive process
- On the First Exit Time of a Completely Asymmetric Stable Process from a Finite Interval
- On series expansions for scale functions and other ruin-related quantities
- TheW,Zscale functions kit for first passage problems of spectrally negative Lévy processes, and applications to control problems
- Bernstein functions. Theory and applications
This page was built for publication: On q-scale functions of spectrally negative Lévy processes