standard probability space

probability space consisting of an interval and/or a countable number of atoms modulo null sets
rdfs:label
"standard probability space"@en
skos:altLabel
"Lebesgue space"@en
"Lebesgue–Rokhlin probability space"@en
schema:description
"probability space consisting of an interval and/or a countable number of atoms modulo null sets"@en
schema:dateModified "2023-11-25T14:40:39+00:00"^^xsd:dateTime
schema:version 2017550239
wikibase:identifiers 4
wikibase:sitelinks 2
wikibase:statements 12
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p:direct-normalized/P6366 <https://makg.org/entity/12871628>
wdt:P10283 "C12871628"
wdt:P138 Henri Lebesgue
Vladimir Abramovich Rokhlin
wdt:P1889 Lp space
Lebesgue measure
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"><mstyle displaystyle="true" scriptlevel="0"><mi>m</mi><mo maxsize="1.2em" minsize="1.2em">(</mo><mo stretchy="false">(</mo><mi>A</mi><mo stretchy="false">&#x2229;</mo><mi>Z</mi><mo stretchy="false">)</mo><mo stretchy="false">&#x222A;</mo><mo stretchy="false">(</mo><mi>B</mi><mo stretchy="false">&#x2216;</mo><mi>Z</mi><mo stretchy="false">)</mo><mo maxsize="1.2em" minsize="1.2em">)</mo><mo stretchy="false">=</mo><mi>p</mi><mspace width="0.167em"></mspace><mi data-mjx-texclass="OP" mathvariant="normal">mes</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>A</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">&#x2212;</mo><mi>p</mi><mo stretchy="false">)</mo><mi data-mjx-texclass="OP" mathvariant="normal">mes</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>B</mi><mo stretchy="false">)</mo></mstyle></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 probability space
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wdt:P7554 "Standard_probability_space"
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