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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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The question about Kolmogorov tightness criterion

We know about Kolmogorov Criterion for the tightness of a stochastic process $X_n(t)$ 1.The sequence $(X_{n}(0))_{n\geq0}$ is tight. 2.There exist constants $\gamma\geq0$,$\alpha>1$, $K>0$ and an in …
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