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Results tagged with pr.probability
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user 18433
Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.
16
votes
1
answer
276
views
Length of the last edge when visiting points by nearest neighbor order
Take $n$ points uniformly in $[0,1] \times [0,1]$. Then pick uniformly $X_0$ one of these points as your starting point. Then let $X_1$ be the nearest neighbor of $X_0$, let $X_2$ be the nearest neigh …
2
votes
Convergence of stopped Brownian motion
Hi,
I am not sure that you need a reference for this as it can easily be proven: $\tau_n \to \tau$ (where $\tau_n$ and $\tau$ are the relevant stopping times) in probability (since for all $\epsilon>0 …