arXiv Analytics

Sign in

arXiv:1305.4406 [math.PR]AbstractReferencesReviewsResources

$L_1$-norm of combinations of products of independent random variables

Rafał Latała

Published 2013-05-19Version 1

We show that $L_1$-norm of linear combinations (with scalar or vector coefficients) of products of i.i.d. nonnegative mean one random variables is comparable to $l_1$-norm of coefficients.

Related articles: Most relevant | Search more
arXiv:1404.0344 [math.PR] (Published 2014-04-01, updated 2015-01-04)
Two-sided bounds for $L_p$-norms of combinations of products of independent random variables
arXiv:math/0503651 [math.PR] (Published 2005-03-29)
Moment inequalities for functions of independent random variables
arXiv:0906.2270 [math.PR] (Published 2009-06-12)
On the Expectations of Maxima of Sets of Independent Random Variables