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Light tails: Gibbs conditional principle under extreme deviation
Light tails Gibbs conditional principle extreme deviation
2013/6/14
Let $X_{1},..,X_{n}$ denote an i.i.d. sample with light tail distribution and $S_{1}^{n}$ denote the sum of its terms; let $a_{n}$ be a real sequence\ going to infinity with $n.$\ In a previous paper ...
Let X(t) t 0 ,X(0) = 0, be a L´evy process with spectral L´evy measure . Assuming that ((−1, 0)) < 1 and the right tail of is light, we show that in the presence of Brownian co...