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Gao, Zhongqin; He, Jingmin; Wang, Bingbing
Communications in statistics. Simulation and computation, 10/2020, Volume: 49, Issue: 10Journal Article
The diffusion risk model is considered in the presence of liquid reserves, credit and debit interest. For arbitrary boundary and any interval, the Laplace-Stieltjes transform (LST) of some exit times of the risk process are derived. The results are then used to find the probability and mathematical expectation of the exit times. Finally, several numerical examples be discussed in order to illustrate the applications of the LST of some exit times.
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