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Two sufficient conditions for convex ordering on risk aggregation
Zhu Dan 1,Yin Chuancun 2 *
1.School of Statistics, Qufu Normal University, Qufu 273165
2.School of Statistics, Qufu Normal University, Qufu 273165
*Correspondence author
#Submitted by
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Funding: Research Fund for the Doctoral Program of Higher Education of China (No.20133705110002)
Opened online:27 April 2017
Accepted by: none
Citation: Zhu Dan,Yin Chuancun.Two sufficient conditions for convex ordering on risk aggregation[OL]. [27 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4725444
 
 
In this paper, we define new stochastic orders in higher dimensions called weak correlation orders. It is shown that weak correlation orders imply stop-loss order of sums of multivariate dependent risks with same marginals. Moreover, some properties and relations of stochastic orders are discussed.
Keywords:Probability theory; Dependent risk; Correlation order; Weak correlation order; Stop-loss order; Convex order
 
 
 

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