Mathematics – Probability
Scientific paper
2006-07-03
Bernoulli 2008, Vol. 14, No. 4, 926-948
Mathematics
Probability
Published in at http://dx.doi.org/10.3150/08-BEJ131 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statisti
Scientific paper
10.3150/08-BEJ131
We obtain dimension-free concentration inequalities for $\ell^p$-norms,
$p\geq2$, of infinitely divisible random vectors with independent coordinates
and finite exponential moments. Besides such norms, the methods and results
extend to some other classes of Lipschitz functions.
Houdré Christian
Marchal Philippe
Reynaud-Bouret Patricia
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