| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1151479 | Statistics & Probability Letters | 2016 | 7 Pages |
Abstract
We derive two-sided bounds for moments of random multi-linear forms (random chaoses) with nonnegative coefficients generated by independent nonnegative random variables XiXi which satisfy the following condition on the growth of moments: ‖Xi‖2p≤A‖Xi‖p‖Xi‖2p≤A‖Xi‖p for any ii and p≥1p≥1. The estimates are deterministic and exact up to multiplicative constants which depend only on the order of chaos and the constant AA in the moment assumption.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Rafał Meller,