Results 21 to 30 of about 65,033 (286)

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

Approximations of the ruin probability in a discrete time risk model

open access: yesModern Stochastics: Theory and Applications, 2020
Based on a discrete version of the Pollaczeck–Khinchine formula, a general method to calculate the ultimate ruin probability in the Gerber–Dickson risk model is provided when claims follow a negative binomial mixture distribution.
David J. Santana, Luis Rincón
doaj   +1 more source

An analysis of the classical gambler's ruin problem through multiple devices variation

open access: yesJournal of Taibah University for Science, 2022
In this study, we propose a variant of classic 2-player ruin's problem. We advocate the use of simultaneous operation of multiple devices to conclude upon the game.
Abid Hussain   +2 more
doaj   +1 more source

Gerber-Shiu Metrics for a Bivariate Perturbed Risk Process

open access: yesRisks, 2023
We consider a two-dimensional risk model with simultaneous Poisson arrivals of claims. Each claim of the first input process is at least as large as the corresponding claim of the second input process.
Onno Boxma, Fabian Hinze, Michel Mandjes
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

The probability of non-ruin of an insurance company with advertising expenses and investing in bank term deposit by MHull insurance of 10 Top insurance companies of Ukraine.

open access: yesНауковий вісник Ужгородського університету. Серія: Математика і інформатика, 2018
The result presented in this paper is the second part of the paper {BoldyrevaZhmykhova2016}, where was constructed an equation which allows calculating the probability of non-ruin for the classical model of risk when an insurance company has promotional ...
В. О. Болдирєва   +1 more
doaj   +1 more source

Ruin Probability Functions and Severity of Ruin as a Statistical Decision Problem

open access: yesRisks, 2019
It is known that the classical ruin function under exponential claim-size distribution depends on two parameters, which are referred to as the mean claim size and the relative security loading. These parameters are assumed to be unknown and random, thus,
Emilio Gómez-Déniz   +2 more
doaj   +1 more source

Optimization method of ballistic blast fragmentation warhead striking aircraft in aircraft shelter

open access: yesXibei Gongye Daxue Xuebao, 2023
For evaluating the economy and feasibility about blast fragmentation warhead striking aircraft in aircraft shelter, taking a typical aircraft and single/double aircraft shelter as study objects, based on the thought of simple/quadratic surface fitting ...
YANG Jie   +5 more
doaj   +1 more source

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

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