Results 21 to 30 of about 274,746 (183)

First passage problems for upwards skip-free random walks via the $\Phi,W,Z$ paradigm [PDF]

open access: yes, 2018
We develop the theory of the $W$ and $Z$ scale functions for right-continuous (upwards skip-free) discrete-time discrete-space random walks, along the lines of the analogue theory for spectrally negative L\'evy processes.
Avram, Florin, Vidmar, Matija
core   +4 more sources

Second order corrections for the limits of normalized ruin times in the presence of heavy tails

open access: yesStochastic Systems, 2014
In this paper we consider a compound Poisson risk model with regularly varying claim sizes. For this model in [4] an asymptotic formula for the finite time ruin probability is provided when the time is scaled by the mean excess function. In this paper
Dominik Kortschak, Søren Asmussen
doaj   +1 more source

On the time spent in the red by a refracted L\'evy risk process [PDF]

open access: yes, 2013
In this paper, we introduce an insurance ruin model with adaptive premium rate, thereafter refered to as restructuring/refraction, in which classical ruin and bankruptcy are distinguished.
Renaud, Jean-François
core   +2 more sources

Queues and risk processes with dependencies [PDF]

open access: yes, 2013
We study the generalization of the G/G/1 queue obtained by relaxing the assumption of independence between inter-arrival times and service requirements. The analysis is carried out for the class of multivariate matrix exponential distributions introduced
Badila, E. S.   +2 more
core   +4 more sources

Numerical Ruin Probability in the Dual Risk Model with Risk-Free Investments

open access: yesRisks, 2018
In this paper, a dual risk model under constant force of interest is considered. The ruin probability in this model is shown to satisfy an integro-differential equation, which can then be written as an integral equation. Using the collocation method, the
Sooie-Hoe Loke, Enrique Thomann
doaj   +1 more source

Diffusion Approximations of the Ruin Probability for the Insurer–Reinsurer Model Driven by a Renewal Process

open access: yesRisks, 2022
We introduce here a diffusion-type approximation of the ruin probability both in finite and infinite time for a two-dimensional risk process, where claims and premiums are shared with a predetermined proportion.
Krzysztof Burnecki   +2 more
doaj   +1 more source

Sophisticated gamblers ruin and survival chances [PDF]

open access: yes, 2013
This note explores the mathematical theory to solve modern gamblers ruin problems. We establish a ruin framework and solve for the probability of bankruptcy.
Mehta, Salil
core   +2 more sources

On the Optimal Dividend Problem for Insurance Risk Models with Surplus-Dependent Premiums [PDF]

open access: yes, 2015
This paper concerns an optimal dividend distribution problem for an insurance company with surplus-dependent premium. In the absence of dividend payments, such a risk process is a particular case of so-called piecewise deterministic Markov processes. The
Marciniak, Ewa, Palmowski, Zbigniew
core   +2 more sources

Reinvigorating Life of Southern Italy Fortified Architecture in Ruin: From Knowledge to Conservation [PDF]

open access: yesAthens Journal of Architecture, 2020
Southern Italy, the ancient Kingdom of Naples and Sicily, shows a rich heritage of fortified architecture, with towers, castles, boundary walls and any other defensive works, witnesses of historical seasons of sieges and enemy attacks.
Federica Ribera, Pasquale Cucco
doaj   +1 more source

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