Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:inequality
|
| gptkbp:appliesTo |
gptkb:Rademacher_random_variables
|
| gptkbp:describes |
bounds on moments of sums of independent Rademacher random variables
|
| gptkbp:field |
gptkb:probability_theory
functional analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Khintchine inequality
|
| gptkbp:introducedIn |
1923
|
| gptkbp:namedAfter |
gptkb:Aleksandr_Khinchin
|
| gptkbp:relatedTo |
gptkb:Littlewood–Paley_theory
gptkb:Marcinkiewicz–Zygmund_inequality |
| gptkbp:statedIn |
For p ≥ 1, there exist constants A_p, B_p such that for any sequence of real numbers (a_i), A_p (sum a_i^2)^{1/2} ≤ (E|sum a_i r_i|^p)^{1/p} ≤ B_p (sum a_i^2)^{1/2}, where r_i are independent Rademacher variables.
|
| gptkbp:usedIn |
probabilistic method
Banach space theory analysis of random series |
| gptkbp:bfsParent |
gptkb:Rademacher_functions
gptkb:Rademacher_series gptkb:Rademacher_sum gptkb:Rademacher_system |
| gptkbp:bfsLayer |
7
|