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Results tagged with convexity
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user 11768
For questions involving the concept of convexity
7
votes
1
answer
409
views
Convex representation of a measure
Let $\mathcal P(X)$ denote the space of all probability measure defined on a measurable space $X$. We canonically endow the former with its own measurability structure, generated by evaluation maps. L …
- 1,655
2
votes
Accepted
Convex hulls of families of probability measures
Many thanks to Gerald Edgar and D. Kelleher for their answers. I am (and was) a little familiar with the Choquet's theory and tried to find the answer to OP and similar questions there (mostly in "Le …
- 1,655
7
votes
3
answers
2k
views
Convex hulls of families of probability measures
Let $X$ be a standard Borel space, so that the space of Borel probability measures on $X$ is also a standard Borel space. We denote it by $\mathcal P(X)$.
In this paper for any family of probability m …
- 1,655