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High Dimensional Probability VIIOn the Product of Random Variables and Moments of Sums Under Dependence

High Dimensional Probability VII: On the Product of Random Variables and Moments of Sums Under... [In this paper we compare the moments of products of dependent random vectors with the corresponding ones of independent vectors with the same marginal distributions. Various applications of this result are pointed out, including inequalities for the maximum of dependent random variables and moments of partial sums. The inequalities involve the generalized phi-mixing coefficient.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

High Dimensional Probability VIIOn the Product of Random Variables and Moments of Sums Under Dependence

Part of the Progress in Probability Book Series (volume 71)
Editors: Houdré, Christian; Mason, David M.; Reynaud-Bouret, Patricia; Rosiński, Jan

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References (22)

Publisher
Springer International Publishing
Copyright
© Springer International Publishing Switzerland 2016
ISBN
978-3-319-40517-9
Pages
155 –172
DOI
10.1007/978-3-319-40519-3_7
Publisher site
See Chapter on Publisher Site

Abstract

[In this paper we compare the moments of products of dependent random vectors with the corresponding ones of independent vectors with the same marginal distributions. Various applications of this result are pointed out, including inequalities for the maximum of dependent random variables and moments of partial sums. The inequalities involve the generalized phi-mixing coefficient.]

Published: Sep 22, 2016

Keywords: Inequalities; Mixing coefficients; Moments for partial sums; Product of dependent random variables

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