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# On a Risk Model with Dependence between Claim Sizes and Claim Intervals under a Linear Dividend Barrier and Stochastic Interest

## Abstract:

The risk model with interclaim-dependent claim sizes is studied in the presence of a linear dividend barrier and stochastic interest. An integro-differential equation for some Gerber-Shiu discounted penalty functions is derived. We show that its solution can be expressed as the solution to the Gerber-Shiu discounted penalty function in the same risk model with the absence of a barrier and a combination of two linearly independent solutions to the associated homogeneous integro-differential equation.

## Info:

Periodical:

Main Theme:

Edited by:

Zhenyu Du and Bin Liu

Pages:

598-602

DOI:

10.4028/www.scientific.net/AMM.26-28.598

Citation:

T. S. Song "On a Risk Model with Dependence between Claim Sizes and Claim Intervals under a Linear Dividend Barrier and Stochastic Interest", Applied Mechanics and Materials, Vols. 26-28, pp. 598-602, 2010

Online since:

June 2010

Authors:

Price:

$35.00

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