Maximum loss and maximum gain of spectrally negative Lévy processes

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Importance sampling approximations to various probabilities of ruin of spectrally negative Lévy risk processes

This article provides importance sampling algorithms for computing the probabilities of various types ruin of spectrally negative Lévy risk processes, which are ruin over the infinite time horizon, ruin within a finite time horizon and ruin past a finite time horizon. For the special case of the compound Poisson process perturbed by diffusion, algorithms for computing probabilities of ruins by ...

متن کامل

A martingale review of some fluctuation theory for spectrally negative Lévy processes ∗

We give a review of elementary fluctuation theory for spectrally negative Lévy processes using for the most part martingale theory. The methodology is based on techniques found in Kyprianou and Palmowski (2003) which deals with similar issues for a general class of Markov additive processes.

متن کامل

Phase-type fitting of scale functions for spectrally negative Lévy processes

We study the scale function of the spectrally negative phase-type Lévy process. Its scale function admits an analytical expression and so do a number of its fluctuation identities. Motivated by the fact that the class of phase-type distributions is dense in the class of all positive-valued distributions, we propose a new approach to approximating the scale function and the associated fluctuatio...

متن کامل

Spectrally Negative Lévy Processes Perturbed by Functionals of their Running Supremum

In the setting of the classical Cramér-Lundberg risk insurance model, Albrecher and Hipp [1] introduced the idea of tax payments. More precisely, if X = {Xt : t ≥ 0} represents the Cramér-Lundberg process and, for all t ≥ 0, St = sups≤tXs, then [1] study Xt − γSt, t ≥ 0, where γ ∈ (0, 1) is the rate at which tax is paid. This model has been generalised to the setting that X is a spectrally nega...

متن کامل

Optimal Control with Absolutely Continuous Strategies for Spectrally Negative Lévy Processes

In the last few years there has been renewed interest in the classical control problem of de Finetti [10] for the case that underlying source of randomness is a spectrally negative Lévy process. In particular a significant step forward is made in [25] where it is shown that a natural and very general condition on the underlying Lévy process which allows one to proceed with the analysis of the a...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Extremes

سال: 2016

ISSN: 1386-1999,1572-915X

DOI: 10.1007/s10687-016-0279-8