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math.PR2019
Representations of the Riemann zeta function: A probabilistic approach
Jiamei Liu, Yuxia Huang, Chuancun Yin
In this paper, we give a short elementary proof of the well known Euler's recurrence formula for the Riemann zeta function at positive even integers and integral representations of…
math.PR2018
A New Class of Symmetric Distributions Including the Elliptically Symmetric Logistic
Chuancun Yin, Xiuyan Sha
We introduce a new broad and exible class of multivariate elliptically symmetric distributions in- cluding the elliptically symmetric logistic and multivariate normal. Various prob…
math.PR2011
On optimality of the barrier strategy for a general Levy risk process
Kam Chuen Yuen, Chuancun Yin
We consider the optimal dividend problem for the insurance risk process in a general Levy process setting. The objective is to find a strategy which maximizes the expected total di…