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Results tagged with pr.probability
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user 478720
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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What is the liminf of a sum of i.i.d. random variables with heavy tails?
Let $\{X_i\}_{i=1}^{\infty}$ be i.i.d. random variables such that: i) $X_i > 0$; and ii) $\textrm{Pr}[X_i > x] \sim x^{-\alpha}$ at large $x$ for some $\alpha \in (0, 1)$. Define the quantities
\begin …
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