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中文摘要：
假设盈余过程描述为Sparre-Andersen模型,理赔时间间隔服从PH（n）分布,分红只在一些随机的观测时间支付,分红策略为障碍策略,得到了期望折现分红和破产时间Laplace变换所满足的积分-微分方程组,并在n=2和指数理赔的假设下给出了方程组的求解方法。
英文摘要：
Assuming that the surplus process is described by a Sparre-Andersen model, the interclaim times are PH（n） distributed, dividends can only be paid at some randomized observation times and the dividends are paid according to a barrier strategy, the integro-differential equations for the expected discounted dividends and the Laplace transform of ru- in time were derived. The solutions of the equations were given with exponentially distributed claims and n = 2.
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