Bretagnolle–Huber inequality
GPTKB entity
Statements (16)
Predicate | Object |
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gptkbp:instanceOf |
gptkb:inequality
|
gptkbp:appliesTo |
probability distributions
|
gptkbp:category |
inequality involving divergences
|
gptkbp:field |
gptkb:probability_theory
|
https://www.w3.org/2000/01/rdf-schema#label |
Bretagnolle–Huber inequality
|
gptkbp:namedAfter |
gptkb:Jean_Bretagnolle
Carlo C. Huber |
gptkbp:publishedIn |
1979
|
gptkbp:relatedTo |
gptkb:Kullback–Leibler_divergence
total variation distance |
gptkbp:sentence |
For probability measures P and Q, TV(P,Q) ≤ sqrt{1 - exp(-KL(P||Q))}.
|
gptkbp:usedIn |
gptkb:information_theory
statistics hypothesis testing |
gptkbp:bfsParent |
gptkb:Jean_Bretagnolle
|
gptkbp:bfsLayer |
6
|