Dvoretzky–Kiefer–Wolfowitz inequality (Q5317822)

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statistical inequality

• Dvoretzky-Kiefer-Wolfowitz inequality

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Language	Label	Description	Also known as
English	Dvoretzky–Kiefer–Wolfowitz inequality	statistical inequality	Dvoretzky-Kiefer-Wolfowitz inequality

Statements

instance of

theorem

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inequality

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named after

Aryeh Dvoretzky

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Jack Kiefer

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Jacob Wolfowitz

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defining formula

${\displaystyle \Pr {\Bigl (}\sup _{x\in \mathbb {R} }{\bigl (}F_{n}(x)-F(x){\bigr )}>\varepsilon {\Bigr )}\leq e^{-2n\varepsilon ^{2}}\qquad {\text{for every }}\varepsilon \geq {\sqrt {{\tfrac {1}{2n}}\ln 2}}}$

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

Freebase ID

/m/026t28y

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Microsoft Academic ID

117919020

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Quora topic ID

Dvoretzky–Kiefer–Wolfowitz-Inequality

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stated in

Quora

 

Sitelinks

Wikipedia(3 entries)

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• enwiki Dvoretzky–Kiefer–Wolfowitz inequality
• frwiki Inégalité DKW
• hewiki אי-שוויון דבורצקי-קיפר-וולפוביץ

Wikibooks(0 entries)

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Wikinews(0 entries)

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Wikiquote(0 entries)

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Wikisource(0 entries)

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Wikiversity(0 entries)

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Wikivoyage(0 entries)

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Wiktionary(0 entries)

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Multilingual sites(0 entries)

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