Computer treatment of the integro-differential equations of collective non-ruin; the finite time case

Athena Makroglou

Mathematics and Computers in Simulation (MATCOM), 2000, vol. 54, issue 1, 99-112

Abstract: An important problem of collective non-ruin is the estimation of the probabilities R(z,t) and R(z) of the finite and ultimate non-ruin, respectively, where t is time and z the initial reserve. The governing equations are first-order Volterra integro-differential equations, partial (PVIDEs) in the finite time case and ordinary (VIDEs) in the ultimate non-ruin case, respectively.

Keywords: Partial Volterra integro-differential equations; First-order; Numerical solution; Collocation methods; Laplace transforms; Actuarial risk management (search for similar items in EconPapers)
Date: 2000
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475400002020
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:54:y:2000:i:1:p:99-112

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().