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Two-sided moment estimates for random chaoses. Meller, Rafal
Description
Let $X_1,\ldots,X_n$ be random variables such that there exists a constant $C>1$ satisfying $\|X_i\|_{2p} \leq C \|X_i\|_p$ for every $p \geq 1$.
We define random chaos $S=\sum a_{i_1,...,i_d} X_{i_1}\cdots X_{i_d}$. We will show two-sided deterministic bounds on $||S||_p$, with constant depending only on $C$ and $d$ in two cases:
1) $X_1,\ldots,X_n$ are nonnegative and $a_{i_1,...,i_d}\geq 0$.
2) $X_1,\ldots ,X_n$ are symmetric, $d=2$.
Item Metadata
| Title |
Two-sided moment estimates for random chaoses.
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2017-05-30T17:00
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| Description |
Let $X_1,\ldots,X_n$ be random variables such that there exists a constant $C>1$ satisfying $\|X_i\|_{2p} \leq C \|X_i\|_p$ for every $p \geq 1$.
We define random chaos $S=\sum a_{i_1,...,i_d} X_{i_1}\cdots X_{i_d}$. We will show two-sided deterministic bounds on $||S||_p$, with constant depending only on $C$ and $d$ in two cases:
1) $X_1,\ldots,X_n$ are nonnegative and $a_{i_1,...,i_d}\geq 0$.
2) $X_1,\ldots ,X_n$ are symmetric, $d=2$.
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| Extent |
37 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of Warsaw
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| Series | |
| Date Available |
2017-11-26
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0360737
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International