Numerical Ruin Probability in the Dual Risk Model with Risk-Free Investments
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 +2 more sources
Gambler’s ruin probability—A general formula [PDF]
11 ...
Guy Katriel
openalex +4 more sources
ABOUT RISK PROCESS ESTIMATION TECHNIQUES EMPLOYED BY A VIRTUAL ORGANIZATION WHICH IS DIRECTED TOWARDS THE INSURANCE BUSINESS [PDF]
In a virtual organization directed on the insurance business, the estimations of the risk process and of the ruin probability are important concerns: for researchers, at the theoretical level, and for the management of the company, as these influence the
Covrig Mihaela, Serban Radu
doaj +2 more sources
Convexity of Ruin Probability and Optimal Dividend Strategies for a General Lévy Process. [PDF]
Yin C, Yuen KC, Shen Y.
europepmc +3 more sources
The finite-time ruin probability for an inhomogeneous renewal risk model
In the paper, we give an asymptotic formula for the finite-time ruin probability in a generalized renewal risk model. We consider the renewal risk model with independent strongly subexponential claim sizes and independent not necessarily identically ...
Emilija Bernackaitė, Jonas Šiaulys
openalex +3 more sources
Uniform Asymptotic Probability for Multi Renewal Risk Model with Strong Subexponential Tailed Claims [PDF]
In this paper, we study the uniform asymptotic behavior for the ruin probability in a continuous time renewal counting process. For the proposed model, we assume that the financial claims for each extreme event are compensated by a finite number of ...
Fotis Loukissas, Alex Karagrigoriou
doaj +1 more source
Effect of Stop-Loss Reinsurance on Primary Insurer Solvency
Stop-loss reinsurance is a risk management tool that allows an insurance company to transfer part of their risk to a reinsurance company. Ruin probabilities allow us to measure the effect of stop-loss reinsurance on the solvency of the primary insurer ...
Corina Constantinescu+4 more
doaj +1 more source
Finite-time ruin probability for correlated Brownian motions [PDF]
Let be a two-dimensional Gaussian process with standard Brownian motion marginals and constant correlation . Define the joint survival probability of both supremum functionals by where and u, v are given positive constants.
K. Dȩbicki+2 more
semanticscholar +1 more source
Computing ruin probability and minimum initial capital by simulation [PDF]
In this paper, we propose a new approximation method to obtain the ruin probability by modifying the PollaczekKhinchin approximation. The proposed approximation is simpler and requires fewer assumptions than other methods mentioned in the literature ...
Pawat Paksaranuwat, Samruam Chongcharoen
doaj +1 more source
Reinsurance and Solvency Capital: Mitigating Insurance Companies’ Ruin Probability
Context: insurance companies are important to society, since they guarantee financial protection to individuals from property losses, in addition to fostering the capital market through the allocation of guarantee assets.
Jorge Wilson Euphasio+1 more
semanticscholar +1 more source