Parisian ruin probability for spectrally negative Lévy processes
From MaRDI portal
Publication:1952435
DOI10.3150/11-BEJ404zbMath1267.60054arXiv1102.4055OpenAlexW3099548334MaRDI QIDQ1952435
Irmina Czarna, Ronnie Loeffen, Zbigniew Palmowski
Publication date: 30 May 2013
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1102.4055
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (73)
Parisian excursion with capital injection for drawdown reflected Lévy insurance risk process ⋮ Parisian ruin for the dual risk process in discrete-time ⋮ Beating the omega clock: an optimal stopping problem with random time-horizon under spectrally negative Lévy models ⋮ A note on Parisian ruin with an ultimate bankruptcy level for Lévy insurance risk processes ⋮ Discounted penalty function at Parisian ruin for Lévy insurance risk process ⋮ Ruin probabilities for risk process in a regime-switching environment ⋮ Parisian ruin over a finite-time horizon ⋮ Parisian ruin of self-similar Gaussian risk processes ⋮ A pair of optimal reinsurance-investment strategies in the two-sided exit framework ⋮ Dividend barrier strategy: proceed with caution ⋮ On spectrally positive Lévy risk processes with Parisian implementation delays in dividend payments ⋮ Parisian ruin probability - the De Vylder type approximation ⋮ Gerber–Shiu distribution at Parisian ruin for Lévy insurance risk processes ⋮ Optimal dividend strategy under Parisian ruin with affine penalty ⋮ The joint distribution of the Parisian ruin time and the number of claims until Parisian ruin in the classical risk model ⋮ Parisian types of ruin probabilities for a class of dependent risk-reserve processes ⋮ Parisian ruin for a refracted Lévy process ⋮ Parisian & cumulative Parisian ruin probability for two-dimensional Brownian risk model ⋮ Gerber-Shiu function at draw-down Parisian ruin time for the spectrally negative Lévy risk process ⋮ Optimal dividends under Markov-modulated bankruptcy level ⋮ Lévy insurance risk process with Poissonian taxation ⋮ Parisian ruin probability with a lower ultimate bankrupt barrier ⋮ Discrete time ruin probability with Parisian delay ⋮ Parisian ruin with Erlang delay and a lower bankruptcy barrier ⋮ Dividend optimisation: a behaviouristic approach ⋮ Asymptotics of Parisian ruin of Brownian motion risk model over an infinite-time horizon ⋮ On the distribution of cumulative Parisian ruin ⋮ Optimality of impulse control problem in refracted Lévy model with Parisian ruin and transaction costs ⋮ A general approach for Parisian stopping times under Markov processes ⋮ On the time value of Parisian ruin in (dual) renewal risk processes with exponential jumps ⋮ The Parisian and ultimate drawdowns of Lévy insurance models ⋮ Bridging the first and last passage times for Lévy models ⋮ Parisian ruin in the dual model with applications to the \(G/M/1\) queue ⋮ Approximating the classical risk process by stable Lévy motion ⋮ Cumulative Parisian ruin in finite and infinite time horizons for a renewal risk process with exponential claims ⋮ On the area in the red of Lévy risk processes and related quantities ⋮ Cumulative Parisian ruin probability for two-dimensional Brownian risk model ⋮ Optimal Parisian-type dividend payments penalized by the number of claims for the classical and perturbed classical risk process ⋮ Parisian ruin with random deficit-dependent delays for spectrally negative Lévy processes ⋮ Ruin probabilities in the Cramér-Lundberg model with temporarily negative capital ⋮ Parisian ruin probability for Markov additive risk processes ⋮ A note on a Lévy insurance risk model under periodic dividend decisions ⋮ A threshold-based risk process with a waiting period to pay dividends ⋮ Asymptotic analysis and optimization of some insurance models ⋮ A note on Parisian ruin under a hybrid observation scheme ⋮ Approximation of ruin probability and ruin time in discrete Brownian risk models ⋮ An insurance risk model with Parisian implementation delays ⋮ On the analysis of deep drawdowns for the Lévy insurance risk model ⋮ The Omega-model with two bankruptcy rates ⋮ Finite time Parisian ruin of an integrated Gaussian risk model ⋮ Dividend problem with Parisian delay for a spectrally negative Lévy risk process ⋮ On the dual risk model with Parisian implementation delays in dividend payments ⋮ Parisian excursion below a fixed level from the last record maximum of Lévy insurance risk process ⋮ On the distribution of classic and some exotic ruin times ⋮ Occupation times of spectrally negative Lévy processes with applications ⋮ A unified approach to ruin probabilities with delays for spectrally negative Lévy processes ⋮ On the Parisian ruin of the dual Lévy risk model ⋮ A temporal approach to the Parisian risk model ⋮ Strikingly simple identities relating exit problems for Lévy processes under continuous and Poisson observations ⋮ Poissonian potential measures for Lévy risk models ⋮ Parisian ruin with a threshold dividend strategy under the dual Lévy risk model ⋮ Minimizing the probability of lifetime exponential Parisian ruin ⋮ Minimizing the Discounted Probability of Exponential Parisian Ruin via Reinsurance ⋮ Parisian ruin probability for two-dimensional Brownian risk model ⋮ Ruin Probability with Parisian Delay for a Spectrally Negative Lévy Risk Process ⋮ The time of ultimate recovery in Gaussian risk model ⋮ On occupation times in the red of Lévy risk models ⋮ Liquidation risk in insurance under contemporary regulatory frameworks ⋮ On three methods for analytic Laplace inversion in the framework of Brownian motion and their excursions ⋮ On the time spent in the red by a refracted L\'evy risk process ⋮ Draw-down Parisian ruin for spectrally negative Lévy processes ⋮ Discrete-time risk models with surplus-dependent premium corrections ⋮ Poissonian occupation times of spectrally negative Lévy processes with applications
Cites Work
- Unnamed Item
- Unnamed Item
- An insurance risk model with Parisian implementation delays
- De Finetti's optimal dividends problem with an affine penalty function at ruin
- Introductory lectures on fluctuations of Lévy processes with applications.
- Ruin Probability with Parisian Delay for a Spectrally Negative Lévy Risk Process
- Brownian Excursions and Parisian Barrier Options
This page was built for publication: Parisian ruin probability for spectrally negative Lévy processes