Occupation densities in solving exit problems for Markov additive processes and their reflections

From MaRDI portal
Publication:444361

DOI10.1016/J.SPA.2012.05.016zbMath1267.60087arXiv1110.3811OpenAlexW2139836955MaRDI QIDQ444361

Zbigniew Palmowski, Jevgenijs Ivanovs

Publication date: 14 August 2012

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.3811




Related Items (43)

Unified approach for solving exit problems for additive-increase and multiplicative-decrease processesSplitting and time reversal for Markov additive processesExit identities for Lévy processes observed at Poisson arrival timesRuin probabilities for risk process in a regime-switching environmentGambler's ruin problem in a Markov-modulated jump-diffusion risk modelExit Problems for Reflected Markov-Modulated Brownian MotionOccupation Times for Markov-Modulated Brownian MotionAn optimal stopping problem for spectrally negative Markov additive processesA multinomial approximation approach for the finite time survival probability under the Markov-modulated risk modelDrawdown analysis for the renewal insurance risk processLévy Processes, Phase-Type Distributions, and MartingalesLocal times for spectrally negative Lévy processesLévy systems and the time value of ruin for Markov additive processesSome ruin problems for the MAP risk modelOn a risk model with claim investigationA series expansion formula of the scale matrix with applications in CUSUM analysisThe Gerber-Shiu discounted penalty function: a review from practical perspectivesOn fluctuation theory for spectrally negative Lévy processes with Parisian reflection below, and applicationsParisian ruin probability for Markov additive risk processesSpectrally negative Lévy risk model under Erlangized barrier strategyJoint Insolvency Analysis of a Shared MAP Risk Process: A Capital Allocation ApplicationThe tax identity for Markov additive risk processesTheW,Zscale functions kit for first passage problems of spectrally negative Lévy processes, and applications to control problemsPhase-type approximations perturbed by a heavy-tailed component for the Gerber-Shiu function of risk processes with two-sided jumpsAn IBNR-RBNS insurance risk model with marked Poisson arrivalsFluctuation theory for one-sided Lévy processes with a matrix-exponential time horizonDividend problem with Parisian delay for a spectrally negative Lévy risk processOccupation times in the MAP risk modelOptimal dividends in the dual model under transaction costsA unified approach for drawdown (drawup) of time-homogeneous Markov processesA note on chaotic and predictable representations for Itô–Markov additive processesFirst passage problems for upwards skip-free random walks via the scale functions paradigmStructural pricing of CoCos and deposit insurance with regime switching and jumpsPotential measures for spectrally negative Markov additive processes with applications in ruin theoryOccupation times of intervals until last passage times for spectrally negative Lévy processesLévy Processes with Two-Sided ReflectionOn scale functions for Lévy processes with negative phase-type jumpsExit problems for general draw-down times of spectrally negative Lévy processesOn the central management of risk networksExact boundaries in sequential testing for phase-type distributionsPotential measures of one-sided Markov additive processes with reflecting and terminating barriersFluctuation identities for Omega-killed spectrally negative Markov additive processes and dividend problemExit problems for positive self-similar Markov processes with one-sided jumps




Cites Work




This page was built for publication: Occupation densities in solving exit problems for Markov additive processes and their reflections