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Gerber, H.U. (1981) On the Probability of Ruin in the Presence of a Linear Dividend Barrier. Scandinavian Actuarial Journal, 1981, 105-115.
https://doi.org/10.1080/03461238.1981.10413735

has been cited by the following article:

• TITLE: Closed-Form Absolute Ruin Problems of the Risk Models with State-Dependent Switched Claims

  AUTHORS: Yuanxun Liu, Dianli Zhao

  KEYWORDS: Ruin Probability, Threshold Dividend Strategy, Switched Exponential Distribution, Hypergeometric Function

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.5 No.12, December 14, 2017

  ABSTRACT: This letter mainly investigates a general risk model with the threshold dividend strategy under assumption that the claim amounts obey a state-dependent switched exponential distribution. By establishing the differential-integral equations for the Gerber-Shiu discounted penalty function, and applying the hypergeometric functions, the closed-form absolute ruin probability is derived.