Article ID Journal Published Year Pages File Type
1153458 Statistics & Probability Letters 2009 6 Pages PDF
Abstract

We prove that if the generator gg of a gg-expectation EgEg is independent of yy, then a probability measure QQ is dominated by EgEg if and only if QQ can be generated by the Girsanov transformation via a controlled process; furthermore, we prove that EgEg equals the supremum of its dominated mathematical expectations if and only if gg is sublinear with respect to zz.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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