Abstract
Let $T_n$ denote the length of the shortest closed path connecting $n$ random points uniformly distributed over the unit square. We prove that for some number $K$, we have, for all $t \geq 0$, $P(|T_n - E(T_n)| \geq t) \leq K \exp(-t^2/K).$
Citation
WanSoo T. Rhee. Michel Talagrand. "A Sharp Deviation Inequality for the Stochastic Traveling Salesman Problem." Ann. Probab. 17 (1) 1 - 8, January, 1989. https://doi.org/10.1214/aop/1176991490
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