Dvoretzky–Kiefer–Wolfowitz inequality
statistical inequality
| rdfs:label |
"Dvoretzky–Kiefer–Wolfowitz inequality"@en
|
|
skos:alt |
"Dvoretzky-Kiefer-Wolfowitz inequality"@en
|
| schema:description | "statistical inequality"@en |
|
schema:date |
"2025-08-29T15:53:28+00:00"^^xsd:dateTime |
| schema:version | 2398127953 |
| wikibase:identifiers | 3 |
| wikibase:sitelinks | 3 |
| wikibase:statements | 10 |
| p:P138 | wd:statement/Q5317822-a9b46667-462d-374f-b299-6c322373195d |
| wd:statement/Q5317822-b06cc45b-410d-1eeb-005d-cdc62a284108 | |
| wd:statement/Q5317822-c796c231-402d-577f-6181-50bbc6b9f8c4 | |
| p:P2534 | wd:statement/Q5317822-cb6667bd-434a-0f82-004e-8c78fcbbaa3e |
| p:P31 | wd:statement/Q5317822-47EECD44-CC08-491C-A635-23B1F747826C |
| wd:statement/Q5317822-FAF70D0E-23CD-41C8-AD11-478554EC799E | |
| p:P3417 | wd:statement/Q5317822-037D4E7B-865C-41B8-B70A-3AD41783950F |
| p:P6104 | wd:statement/Q5317822-9D236180-1BD9-4D47-8F5E-F2D43160E8DE |
| p:P6366 | wd:statement/Q5317822-73426316-E40C-4457-BF35-DBA0321ACC9C |
| p:P646 | wd:statement/Q5317822-5F2760BA-3A1D-4ED9-8BFD-6C133E89A4D1 |
|
p:direct- |
<https:/ |
| wdt:P138 | Jack Kiefer |
| Aryeh Dvoretzky | |
| Jacob Wolfowitz | |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>Pr</mi><mo>⁡</mo><mo maxsize="1.623em" minsize="1.623em" data-mjx-texclass="OPEN">(</mo><munder><mi>sup</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>x</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow></mrow></mrow></munder><mo maxsize="1.2em" minsize="1.2em" data-mjx-texclass="OPEN">(</mo><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>F</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo maxsize="1.2em" minsize="1.2em" data-mjx-texclass="CLOSE">)</mo><mo>></mo><mi>ε</mi><mo maxsize="1.623em" minsize="1.623em" data-mjx-texclass="CLOSE">)</mo><mo stretchy="false">≤</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mn>2</mn><mi>n</mi><msup><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></msup><mspace width="2em"></mspace><mrow data-mjx-texclass="ORD"><mtext>for every </mtext></mrow><mi>ε</mi><mo stretchy="false">≥</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="false" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>n</mi></mrow></mrow></mfrac></mrow></mstyle></mrow><mi>ln</mi><mo>⁡</mo><mn>2</mn></mrow></msqrt></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P31 | inequality |
| theorem | |
| wdt:P3417 | "Dvoretzky–Kiefer–Wolfowitz-Inequality" |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "117919020" |
| wdt:P646 | "/m/026t28y" |
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