Cauchy distribution

probability distribution
rdfs:label
"Cauchy distribution"@en
skos:altLabel
"Cauchy–Lorentz distribution"@en
"Lorentz distribution"@en
schema:description
"probability distribution"@en
schema:dateModified "2026-10-27T16:45:53+00:00"^^xsd:dateTime
schema:version 2561475082
wikibase:identifiers 7
wikibase:sitelinks 30
wikibase:statements 17
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p:direct-normalized/P6366 <https://makg.org/entity/49344536>
wdt:P10283 "C49344536"
wdt:P11514 "raspredelenie-koshi-101fe6"
wdt:P138 Hendrik Lorentz
Augustin-Louis Cauchy
wdt:P1417 "topic/Cauchy-distribution"
wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Cauchy%20cdf.svg>
<http://commons.wikimedia.org/wiki/Special:FilePath/Cauchy%20pdf.svg>
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>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo>;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo>,</mo><mi>&#x03B3;</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><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"><mi>&#x03C0;</mi><mi>&#x03B3;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mn>1</mn><mo stretchy="false">+</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>x</mi><mo stretchy="false">&#x2212;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03B3;</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">]</mo></mrow></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mi>&#x03C0;</mi><mi>&#x03B3;</mi></mrow></mfrac><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mfrac><mrow><msup><mi>&#x03B3;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">&#x2212;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><msup><mi>&#x03B3;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac><mo data-mjx-texclass="CLOSE">]</mo></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 symmetric probability distribution
Student's t-distribution
wdt:P2812 "CauchyDistribution"
wdt:P2924 "2104904"
wdt:P31 mathematical concept
wdt:P373 "Cauchy-Lorentz distributions"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "49344536"
wdt:P646 "/m/0207d"
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