YANG Long, DENG GuoHe. The Dependent Erlang(2) Risk Model with Dividend Strategy[J]. Chinese Journal of Applied Probability and Statistics, 2017, 33(1): 1-20.
Citation: YANG Long, DENG GuoHe. The Dependent Erlang(2) Risk Model with Dividend Strategy[J]. Chinese Journal of Applied Probability and Statistics, 2017, 33(1): 1-20.

The Dependent Erlang(2) Risk Model with Dividend Strategy

  • In this paper, an Erlang(2) risk model with time-dependent claims is studied under a multi-layer dividend strategy. First, some piecewise integro-differential equations with certain boundary conditions for the Gerber-Shiu function are derived. Then, applying these results, some defective renewal equations and explicit expressions for the Gerber-Shiu function are obtained when the joint density of the inter-claim time and claim size belongs to the rational family.
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