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On a conjecture related to the ruin probability for nonhomogeneous insurance claims Cover

On a conjecture related to the ruin probability for nonhomogeneous insurance claims

By: Raluca Vernic  
Open Access
|Apr 2017

Abstract

Recently, nonhomogeneous claim sizes have been considered in the actuarial literature starting from the fact that the claims are seasonally influenced by the economic environment. In this context, Raducan et al. [8] obtained recursive formulas for the ruin probability at or before claim instants, and stated a conjecture that relates the order of the claims arrival to the magnitude of the corresponding ruin probability, conjecture supported by numerical examples. In this paper, we prove this conjecture in a particular case.

DOI: https://doi.org/10.1515/auom-2015-0056 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 209 - 220
Submitted on: Oct 1, 2014
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Accepted on: Feb 1, 2015
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Published on: Apr 22, 2017
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 Raluca Vernic, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.