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Restricted Khinchine Inequality

  Published:2015-07-09
 Printed: Mar 2016
  • Susanna Spektor,
    Dept. of Math. and Stat. Sciences,, University of Alberta,, Edmonton, Alberta, Canada, T6G 2G1
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Abstract

We prove a Khintchine type inequality under the assumption that the sum of Rademacher random variables equals zero. We also show a new tail-bound for a hypergeometric random variable.
Keywords: Khintchine inequality, Kahane inequality, Rademacher random variables, hypergeometric distribution. Khintchine inequality, Kahane inequality, Rademacher random variables, hypergeometric distribution.
MSC Classifications: 46B06, 60E15, 52A23, 46B09 show english descriptions Asymptotic theory of Banach spaces [See also 52A23]
Inequalities; stochastic orderings
Asymptotic theory of convex bodies [See also 46B06]
Probabilistic methods in Banach space theory [See also 60Bxx]
46B06 - Asymptotic theory of Banach spaces [See also 52A23]
60E15 - Inequalities; stochastic orderings
52A23 - Asymptotic theory of convex bodies [See also 46B06]
46B09 - Probabilistic methods in Banach space theory [See also 60Bxx]
 

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