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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.
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Conditional Covariance
It is well known that for two increasing functions $f$,$g$ and for any random variable $X$ then $cov(f(X),g(X))\geq{}0$. Now assume $f,g$ have the same domain $D$ and let $A\subset{}D$. What can I say …