Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:probability_inequality
|
| gptkbp:appliesTo |
sum of independent random variables
|
| gptkbp:assumes |
independent random variables
bounded random variables |
| gptkbp:field |
gptkb:probability_theory
|
| gptkbp:firstPublished |
1952
|
| gptkbp:generalizes |
gptkb:Chebyshev's_inequality
gptkb:Markov's_inequality |
| gptkbp:namedAfter |
Herman Chernoff
|
| gptkbp:provides |
exponentially decreasing bounds on tail distributions
|
| gptkbp:relatedTo |
gptkb:Markov's_inequality
gptkb:Hoeffding's_inequality gptkb:Azuma's_inequality |
| gptkbp:type |
lower tail bound
upper tail bound |
| gptkbp:usedFor |
bounding tail probabilities
concentration inequalities |
| gptkbp:usedIn |
gptkb:theoretical_computer_science
gptkb:information_theory gptkb:machine_learning randomized algorithms |
| gptkbp:bfsParent |
gptkb:Bernstein's_inequality
gptkb:Bernstein_inequality gptkb:Hoeffding's_inequality gptkb:Bernstein_inequalities |
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Chernoff bound
|