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A. D. Egdio dos Reis, “How Long Is the Surplus below Zero?” Insurance: Mathematics and Economics, Vol. 12, No. 1, 1993, pp. 23-38. doi:10.1016/0167-6687(93)90996-3

has been cited by the following article:

• TITLE: Total Duration of Negative Surplus for a Diffusion Surplus Process with Stochastic Return on Investments

  AUTHORS: Honglong You, Chuancun Yin

  KEYWORDS: Negative Surplus; Ruin Probability; Laplace-Stieltjes Transform

  JOURNAL NAME: Applied Mathematics, Vol.3 No.11, November 20, 2012

  ABSTRACT: In this paper, we consider a Brownian motion risk model with stochastic return on investments. Using the strong Markov property and exploiting the limitation idea, we derive the Laplace-Stieltjes Transform(LST) of the total duration of negative surplus. In addition, two examples are also present.