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Results tagged with pr.probability
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user 164565
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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Covariance inequality with Lipschitz functions
Suppose that $X$ and $Y$ are random variables and suppose that for all Lipschitz functions $f$ and $g$ s.t. $f(X),g(Y)\in L^p$, $p>2$,
$$
|\operatorname{Cov}(f(X),g(Y))|\le \big(\operatorname{Lip}(f)\ …
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