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Zaiming Liu

Work place: School of Mathematical Sciences Central South University Changsha, China

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Research Interests: Computational Mathematics, Mathematical Analysis, Mathematics

Biography

Zaiming Liu received Bachelor of Science from Hunan Normal University, China in 1981, Master of Science and Ph.D in probability and statistics from Changsha Tiedao College(Central South University now), China in 1984 and 1988, respectively. His research interests include Markov process and its application, risk theory, and queueing theory.
Currently, he is the dean of school of mathematical sciences and computing technology, Central South University, P.R. China. He is surpported by National Science Foundation of China (No.10971230) and the National Science Foundation of Hunan (No.08JJ3004).

Author Articles
On a Class of Dual Risk Model with Dependence based on the FGM Copula

By Hua Dong Zaiming Liu

DOI: https://doi.org/10.5815/ijieeb.2010.02.07, Pub. Date: 8 Dec. 2010

In this paper, we consider an extension to a dual model under a barrier strategy, in which the innovation sizes depend on the innovation time via the FGM copula. We first derive a renewal equation for the expected total discounted dividends until ruin. Some differential equations and closed-form expressions are given for exponential innovation sizes. Then the optimal dividend barrier and the Laplace transform of the time to ruin are considered. Finally, a numerical example is given.

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