Year: 2013
Author: Jiehua Xie, Wei Zou
Communications in Mathematical Research , Vol. 29 (2013), Iss. 3 : pp. 193–202
Abstract
In this paper, we consider a risk model in which two types of individual claims, main claims and by-claims, are defined. Every by-claim is induced by the main claim randomly and may be delayed for one time period with a certain probability. The dividend policy that certain amount of dividends will be paid as long as the surplus is greater than a constant dividend barrier is also introduced into this delayed claims risk model. By means of the probability generating functions, formulae for the expected present value of total dividend payments prior to ruin are obtained for discrete-type individual claims. Explicit expressions for the corresponding results are derived for $K_n$ claim amount distributions. Numerical illustrations are also given.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-CMR-19003
Communications in Mathematical Research , Vol. 29 (2013), Iss. 3 : pp. 193–202
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: compound binomial model delayed claim dividend expected present value.