On a Class of Dual Model with Divided Threshold - Advances in Pure Mathematics

APM > Vol.1 No.3, May 2011

On a Class of Dual Model with Divided Threshold ()

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DOI: 10.4236/apm.2011.13012 5,534 Downloads 10,685 Views Citations

Author(s)

Yuzhen Wen

Affiliation(s)

ABSTRACT

In this paper, we consider the dual of the generalized Erlang (n) risk model under a threshold dividend strategy. We derive an integrodifferential equation satisfied by the expectation of the discounted dividends until ruin. The case when profits follow an exponential distribution is solved.

KEYWORDS

Threshold Strategy, Dual Risk Model, Generalized Erlang (n) Risk Process

Share and Cite:

Y. Wen, "On a Class of Dual Model with Divided Threshold," Advances in Pure Mathematics, Vol. 1 No. 3, 2011, pp. 54-58. doi: 10.4236/apm.2011.13012.

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