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Results tagged with measure-theory
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user 1013445
Questions related to measures, sigma-algebras, measure spaces, Lebesgue integration and the like.
1
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Does a strictly incresing cumulative distribution function in $[0,1]$ always admit a density? [duplicate]
Consider some strictly increasing cdf $G(x):[0,1]\rightarrow [0,1]$.
I know $G$ is almost everywhere differentiable since $G$ is monotonic.
Moreover, I know $G(x)$ admits a density if and only if it i …
0
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1
answer
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Is the set of probability measures on $[0,1]$ that induces a continuous distribution functio...
I am an student in economics and I am trying to solve a fixed point problem, where the inputs of the function are probability measures. I'm trying to figure out whether the below results are true, but …