ZHANG Xiaohong, WANG Rongming, KANG Kai. A Class of Integral Equations of Erlang(2) Risk Process under Interest Force[J]. Chinese Journal of Applied Probability and Statistics, 2003, 19(3): 252-258.
Citation: ZHANG Xiaohong, WANG Rongming, KANG Kai. A Class of Integral Equations of Erlang(2) Risk Process under Interest Force[J]. Chinese Journal of Applied Probability and Statistics, 2003, 19(3): 252-258.

A Class of Integral Equations of Erlang(2) Risk Process under Interest Force

  • In this paper, we consider an Erlang(2) risk model with a constant interest force for an insurance portfolio. By using the techniques of Sundt & Teugels (1995) and Yang & Zhang (2001a, 2001b and 2001c), the integral equation and exponential integral equation satisfied by survival probability have been obtained. Then we have investigated the two-order differential equation satisfied by the Laplace-Stieltjes transform of survival probability.
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