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4 papers · 1 filter
Some results on the Orlicz space generated from a random normed module
Mingzhi Wu, Long Long, Xiaolin Zeng
Noting the important role the abstract space has played in the development of random normed modules, in this paper we introduce and study the Orlicz space generated from a ra…
Random convex analysis (I): separation and Fenchel-Moreau duality in random locally convex modules
Tiexin Guo, Shien Zhao, Xiaolin Zeng
To provide a solid analytic foundation for the module approach to conditional risk measures, our purpose is to establish a complete random convex analysis over random locally conve…
On random convex analysis -- the analytic foundation of the module approach to conditional risk measures
Tiexin Guo, Shien Zhao, Xiaolin Zeng
To provide a solid analytic foundation for the module approach to conditional risk measures, this paper establishes a complete random convex analysis over random locally convex mod…
An valued function's intermediate value theorem and its applications to random uniform convexity
Guo TieXin, Zeng XiaoLin
Let be a probability space and the algebra of equivalence classes of real-valued random variables on . When …