Two Correlated Aggregate Claims Risk Model with a Constant Dividend Barrier
Bingyu Kou
Abstract
Bingyu Kou
Abstract
The Gerber-Shiu expected discounted penalty functions for a risk model with two dependent classes of insurance business is considered in the presence of a constant dividend barrier.Claim occurrence of both classes relate to Poisson and generalized Erlang(2) processes.Integro-differential equations with boundary conditions for the Gerber-Shiu expected discounted penalty functions and the explicit expression of the Gerber-Shiu expected discounted penalty functions are derived.
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The Gerber-Shiu expected discounted penalty functions for a risk model with two dependent classes of insurance business is considered in the presence of a constant dividend barrier.Claim occurrence of both classes relate to Poisson and generalized Erlang(2) processes.Integro-differential equations with boundary conditions for the Gerber-Shiu expected discounted penalty functions and the explicit expression of the Gerber-Shiu expected discounted penalty functions are derived.
Key concepts: Erlang (programming language), Penalty method, Dividend, Risk model, Poisson distribution, Mathematics, Constant (computer programming), Applied mathematics