Boole's inequality
In probability theory, Boole's inequality, also known as the union bound, says that for any finite or countable set of events, the probability that at least one of the events happens is no greater than the sum of the probabilities of the individual events. Boole's inequality is named after George Boole. Formally, for a countable set of events A1, A2, A3, ..., we have In measure-theoretic terms, Boole's inequality follows from the fact that a measure (and certainly any probability measure) is σ-sub-additive.
Azuma's inequalityBinary symmetric channelBonferroni's inequalitiesBonferroni's inequalityBonferroni boundBonferroni correctionBonferroni inequalitiesBonferroni inequalityBoole inequalityCarlo Emilio BonferroniCatalog of articles in probability theoryChebyshev's inequalityClaude ShannonCoding gainData dredgingDoob martingaleFréchet inequalitiesGilbert–Varshamov bound for linear codesHadamard codeHolm–Bonferroni methodInclusion–exclusion principleInequality (mathematics)List decodingList of examples of Stigler's lawList of inequalitiesList of probability topicsList of statistics articlesLocally decodable codeMultiple comparisons problemOutline of probabilityP/polyPairwise independencePhase-shift keyingPostBQPProperty BRoss–Littlewood paradoxSauer–Shelah lemmaSet balancingUBEUnion bound
Link from a Wikipage to another Wikipage
primaryTopic
Boole's inequality
In probability theory, Boole's inequality, also known as the union bound, says that for any finite or countable set of events, the probability that at least one of the events happens is no greater than the sum of the probabilities of the individual events. Boole's inequality is named after George Boole. Formally, for a countable set of events A1, A2, A3, ..., we have In measure-theoretic terms, Boole's inequality follows from the fact that a measure (and certainly any probability measure) is σ-sub-additive.
has abstract
Booleova nerovnost je ozačení ...... podobnostní míry je spočetně .
@cs
Die Bonferroni-Ungleichungen s ...... nigung von Ereignissen dienen.
@de
Em teoria da probabilidade, a ...... probabilidade) é -sub-aditivo.
@pt
En teoría de la probabilidad, ...... iduales. De manera más formal,
@es
En théorie des probabilités, l ...... e aux complémentaires des Bn).
@fr
In probability theory, Boole's ...... ty measure) is σ-sub-additive.
@en
In teoria della probabilità, l ...... disuguaglianze di Bonferroni.
@it
布尔不等式(Boole's inequality),由乔治· ...... A3、......: 在测度论上,布尔不等式满足σ次可加性。
@zh
確率論において、ブールの不等式(ブールのふとうしき、英: B ...... および任意の確率測度)がσ-劣加法的である事実から得られる。
@ja
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
998,102,491
Link from a Wikipage to another Wikipage
author-link
Janos Galambos
@en
first
János
@en
id
Bonferroni_inequalities
@en
last
Galambos
@en
oldid
title
Bonferroni inequalities
@en
wikiPageUsesTemplate
comment
Booleova nerovnost je ozačení ...... podobnostní míry je spočetně .
@cs
Die Bonferroni-Ungleichungen s ...... nigung von Ereignissen dienen.
@de
Em teoria da probabilidade, a ...... probabilidade) é -sub-aditivo.
@pt
En teoría de la probabilidad, ...... iduales. De manera más formal,
@es
En théorie des probabilités, l ...... ù : . On pose et pour tout , .
@fr
In probability theory, Boole's ...... ty measure) is σ-sub-additive.
@en
In teoria della probabilità, l ...... disuguaglianze di Bonferroni.
@it
布尔不等式(Boole's inequality),由乔治· ...... A3、......: 在测度论上,布尔不等式满足σ次可加性。
@zh
確率論において、ブールの不等式(ブールのふとうしき、英: B ...... および任意の確率測度)がσ-劣加法的である事実から得られる。
@ja
label
Bonferroni-Ungleichung
@de
Boole's inequality
@en
Booleova nerovnost
@cs
Desigualdad de Boole
@es
Desigualdade de Boole
@pt
Disuguaglianze di Boole e di Bonferroni
@it
Inégalité de Boole
@fr
ブールの不等式
@ja
布尔不等式
@zh