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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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Chernoff style concentration bound for ratio of variables

Suppose I have two random variables $X_1$ and $X_2$. $X_1,X_2$ are both sums of random variables, and I can find Chernoff bounds for both variables independently. That is to say, I have $$Pr[\mid X_i …
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