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Theoretical and experimental aspects of information theory and coding theory. This tag covers but is not limited to following branches: information theory, information geometry, optimal transportation theory, coding theory.
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How to get some information about a random variable if we know very little about its distrib...
Suppose that $X, Y$ are random variables,both from a probability space to $(0,\infty]$, such that X and $1+Y$ have the same distribution, $Y=Z_1$ with probability equals half, otherwise $Y= \frac{Z_1 …