Chebyshev's inequality
inequality applying to random variables with finite expected values
| rdfs:label |
"Chebyshev's inequality"@en
|
|
skos:alt |
"Bienaymé–Chebyshev inequality"@en
|
| schema:description |
"inequality applying to random variables with finite expected values"@en
|
|
schema:date |
"2026-10-04T19:14:03+00:00"^^xsd:dateTime |
| schema:version | 2553154313 |
| wikibase:identifiers | 14 |
| wikibase:sitelinks | 32 |
| wikibase:statements | 25 |
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| p:P2924 | wd:statement/Q249514-65BB5570-989B-4C25-B162-FD9B3E85D798 |
| p:P31 | wd:statement/Q249514-471335bd-4db6-b5a9-f137-d97d569ee082 |
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| p:P460 | wd:statement/Q249514-64ca07c7-452a-1a76-594b-973f85622b14 |
| p:P5019 | wd:statement/Q249514-96A202DF-7CE9-484D-BCB5-2DE7ED5B9703 |
| p:P61 | wd:statement/Q249514-a985c6a9-4488-94d1-4d54-7fe264273227 |
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|
p:direct- |
<https:/ |
| wdt:P10283 | "C71564387" |
| wdt:P10376 | "engineering/chebyshev-inequality" |
| "mathematics/chebyshev-inequality" | |
| wdt:P11514 | "neravenstvo-chebyshiova-b1f0d6" |
| wdt:P1368 | "000327250" |
| wdt:P138 | Pafnuty Chebyshev |
| Irénée-Jules Bienaymé | |
| wdt:P1417 | "kkk" |
| "topic/Chebyshevs-inequality" | |
| wdt:P1889 | Chebyshev-Bienayme inequality |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline mathjax_ignore" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo>Pr</mo><mo>⁡</mo><mo stretchy="false">(</mo><mo stretchy="false">|</mo><mi>X</mi><mo stretchy="false">−</mo><mi data-mjx-texclass="OP" mathvariant="normal">E</mi><mo>⁡</mo><mo stretchy="false">[</mo><mi>X</mi><mo stretchy="false">]</mo><mo stretchy="false">|</mo><mo stretchy="false">≥</mo><mi>a</mi><mo stretchy="false">)</mo><mo stretchy="false">≤</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-texclass="OP" mathvariant="normal">Var</mi><mo>⁡</mo><mo stretchy="false">[</mo><mi>X</mi><mo stretchy="false">]</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| "<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 stretchy="false">(</mo><mo stretchy="false">|</mo><mi>X</mi><mo stretchy="false">−</mo><mi data-mjx-texclass="OP" mathvariant="normal">E</mi><mo>⁡</mo><mo stretchy="false">[</mo><mi>X</mi><mo stretchy="false">]</mo><mo stretchy="false">|</mo><mo stretchy="false">≥</mo><mi>a</mi><mo stretchy="false">)</mo><mo stretchy="false">≤</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-texclass="OP" mathvariant="normal">Var</mi><mo>⁡</mo><mo stretchy="false">[</mo><mi>X</mi><mo stretchy="false">]</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| wdt:P2579 | probability theory |
| wdt:P2812 | "ChebyshevInequality" |
| wdt:P2924 | "4681045" |
| wdt:P31 | concentration inequality |
| theorem | |
| wdt:P373 | "Chebyshev's inequality" |
| wdt:P460 | Chebyshev-Bienayme inequality |
| wdt:P5019 | "tschebyschew-ungleichung-arithmetik" |
| wdt:P61 | Pafnuty Chebyshev |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "71564387" |
| wdt:P646 | "/m/014jzr" |
| wdt:P8313 | "Tjebysjovs_ulighed" |
| wdt:P9621 | "disuguaglianza-di-bienayme-cebysev" |
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