an:06044914
Zbl 1239.91072
Albrecher, Hansj??rg; Cheung, Eric C. K.; Thonhauser, Stefan
Randomized onservation periods for the compound Poisson risk model: dividends
EN
Astin Bull. 41, No. 2, 645-672 (2011).
00293177
2011
j
91B30 60K10
Summary: In the framework of the classical compound Poisson process in collective risk theory, we study a modification of the horizontal dividend barrier strategy by introducing random observation times at which dividends can be paid and ruin can be observed. This model contains both the continuous-time and the discrete-time risk model as a limit and represents a certain type of bridge between them which still enables the explicit calculation of moments of total discounted dividend payments until ruin. Numerical illustrations for several sets of parameters are given and the effect of random observation times on the performance of the dividend strategy is studied.