Exit Problems for Lévy and Markov Processes with One-Sided Jumps and Related Topics

Exit problems for one-dimensional Lévy processes are easier when jumps only occur in one direction. In the last few years, this intuition became more precise: we know now that a wide variety of identities for exit problems of spectrally-negative Lévy processes may be ergonomically expressed in terms...

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Detalles Bibliográficos
Otros Autores:	Avram, Florin (Editor)
Formato:	Libro electrónico
Idioma:	Inglés
Publicado:	Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
Materias:	Research & information: general Mathematics & science Lévy processes non-random overshoots skip-free random walks fluctuation theory scale functions capital surplus process dividend payment optimal control capital injection constraint spectrally negative Lévy processes reflected Lévy processes first passage drawdown process spectrally negative process dividends de Finetti valuation objective variational problem stochastic control optimal dividends Parisian ruin log-convexity barrier strategies adjustment coefficient logarithmic asymptotics quadratic programming problem ruin probability two-dimensional Brownian motion spectrally negative Lévy process general tax structure first crossing time joint Laplace transform potential measure Laplace transform first hitting time diffusion-type process running maximum and minimum processes boundary-value problem normal reflection Sparre Andersen model heavy tails completely monotone distributions error bounds hyperexponential distribution reflected Brownian motion linear diffusions drawdown Segerdahl process affine coefficients spectrally negative Markov process hypergeometric functions capital injections bankruptcy reflection and absorption Pollaczek–Khinchine formula scale function Padé approximations Laguerre series Tricomi–Weeks Laplace inversion
Ver en Biblioteca Universitat Ramon Llull:	https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009654426706719