Irwin–Hall distribution

distribution of a sum of continuous uniform random variables
rdfs:label
"Irwin–Hall distribution"@en
skos:altLabel
"distribució de suma uniforme"@ca
schema:description
"distribution of a sum of continuous uniform random variables"@en
schema:dateModified "2026-09-06T13:44:06+00:00"^^xsd:dateTime
schema:version 2541102151
wikibase:identifiers 3
wikibase:sitelinks 8
wikibase:statements 14
p:P10738 wd:statement/Q3258194-8628d6b7-4a4f-cd49-546f-1b8f5528a3cc
p:P10739 wd:statement/Q3258194-1ee95010-46ed-5167-eb64-1b44ff3dc8ae
p:P10743 wd:statement/Q3258194-674b4247-4020-731b-b106-23c8114c4093
p:P10744 wd:statement/Q3258194-e803ecb2-40f8-bb47-33de-3aecb021ce5b
p:P10747 wd:statement/Q3258194-f10610ab-4db8-6065-b7e8-aec55ab630b2
p:P1889 wd:statement/Q3258194-52b88e16-450d-5897-d46b-d4b78128f583
p:P2534 wd:statement/Q3258194-0e872b80-452c-48f3-34ac-88451eb47413
p:P279 wd:statement/Q3258194-2baa807c-4992-bb01-b5a7-24f2768097cd
wd:statement/Q3258194-77779c48-4c7b-544a-79cb-f58ac3d0e6eb
p:P2812 wd:statement/Q3258194-3D13B4EA-6A03-4045-BA48-EFCB2B73692B
p:P31 wd:statement/Q3258194-3e116007-42d0-45e2-77bb-eb6670a8853c
p:P6104 wd:statement/Q3258194-9A649235-5F07-41A5-BF16-93D346B12D93
p:P6366 wd:statement/Q3258194-7DD0EF1F-87BF-4F16-8F48-9A2188E9D58E
p:P646 wd:statement/Q3258194-3E4BF87B-2B50-462D-8681-7AB2C9D9E401
p:direct-normalized/P6366 <https://makg.org/entity/40047613>
wdt:P10738 "<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"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P10739 "<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"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P10743 "<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"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mn>2</mn></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P10744 "<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"><mn>0</mn></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P10747 "<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"><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"><msup><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">e</mi></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msup><mo stretchy="false">&#x2212;</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P1889 Bates distribution
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"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>X</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo>;</mo><mi>n</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"><mn>2</mn><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">&#x2212;</mo><mn>1</mn><mo stretchy="false">)</mo><mo stretchy="false">!</mo></mrow></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munderover></mstyle><mo stretchy="false">(</mo><mo stretchy="false">&#x2212;</mo><mn>1</mn><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="OPEN"><mo maxsize="1.2em" minsize="1.2em">(</mo></mrow><mfrac linethickness="0"><mrow><mi>n</mi></mrow><mrow><mi>k</mi></mrow></mfrac><mrow data-mjx-texclass="CLOSE"><mo maxsize="1.2em" minsize="1.2em">)</mo></mrow></mrow><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">&#x2212;</mo><mi>k</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">&#x2212;</mo><mn>1</mn></mrow></mrow></msup><mi data-mjx-texclass="OP" mathvariant="normal">sgn</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">&#x2212;</mo><mi>k</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 symmetric probability distribution
continuous probability distribution
wdt:P2812 "UniformSumDistribution"
wdt:P31 mathematical concept
wdt:P6104 WikiProject Mathematics
wdt:P6366 "40047613"
wdt:P646 "/m/03m558k"
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