具有随机分红决定时间的风险模型中分红现值的矩

In this paper, we consider a perturbed risk model with randomized dividend-decision times. Different from the classical barrierdividend strategy, the insurance company makes decision on whether or not paying off dividends at some discrete time points (calleddividend-decision times). Assume that at the dividend-decision time, if the surplus is larger than a barrier $b$, the excess value willbe paid out as dividends. Under such dividend strategy, we study how to compute the moments of the total discounted dividend paymentspaid off before ruin.