The Gerber-Shiu Expected Penalty Function for the Risk Model with Dependence and a Constant Dividend Barrier

The Gerber-Shiu Expected Penalty Function for the Risk Model with Dependence and a Constant Dividend Barrier

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We consider a compound Poisson risk model Car audio accessories with dependence and a constant dividend barrier.A dependence structure between the claim amount and the interclaim time is introduced through a Farlie-Gumbel-Morgenstern copula.An integrodifferential equation for the Gerber-Shiu discounted penalty function is derived.We also solve the integrodifferential equation and show that the solution is a linear combination Flywheel Axle of the Gerber-Shiu function with no barrier and the solution of an associated homogeneous integrodifferential equation.