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On Occupation Times for Compound Poisson Risk Model with Two-Step Premium Rate
Authors:ZHANG Aili  LIU Zhang
Institution:School of Statistics and Mathematics, Nanjing Audit University, Nanjing, 211815, China; School of Computer and Information Engineering,; Jiangxi Agricultural University, Nanchang, 330045, China
Abstract:In this paper, we consider the classical compound Poisson risk model with two-step premium rate. Using an alternative approach, we find the explicit expressions for the Laplace transforms of joint occupation times over disjoint intervals for this model. The Laplace transforms are expressed in terms of scale functions of L\'{e}vy processes.
Keywords:compound Poisson risk model  joint occupation times  two-step premium rate  scale functions  
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