Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:inequality
|
| gptkbp:appliesTo |
gptkb:Rademacher_random_variables
|
| gptkbp:describes |
moments of sums of independent random variables
|
| gptkbp:field |
gptkb:mathematics
gptkb:probability_theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Khinchin inequality
|
| gptkbp:namedAfter |
gptkb:Aleksandr_Khinchin
|
| gptkbp:state |
For any real numbers a_1,...,a_n and p ≥ 1, the p-th moment of the sum of Rademacher variables is equivalent to the l2 norm of the coefficients up to constants depending on p.
|
| gptkbp:usedIn |
functional analysis
random matrix theory Banach space theory |
| gptkbp:yearProposed |
1923
|
| gptkbp:bfsParent |
gptkb:A._Ya._Khinchin
|
| gptkbp:bfsLayer |
6
|