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Let $x$ be vector in $R^n$. Let $\pi(⋅)$ be a permutation on the set $\{1,\ldots,n\}$ with a uniform distribution. Let $|m|\leq n, m \in Z$.

Using Bernoulli (or maybe some other) distribution approimate the $q$-th moment $$ E\left|\sum_{i=1}^mx_{\pi(i)}\right|^q, \quad q\geq 2. $$

Thank you.

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  • $\begingroup$ Related. $\endgroup$
    – Did
    Feb 21, 2013 at 7:19

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