@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr: a skos:ConceptScheme .
psr:-LFQDHGDQ-7
  skos:prefLabel "moment"@fr, "moment"@en ;
  a skos:Concept ;
  skos:narrower psr:-XC8FG6XM-B .

psr:-XC8FG6XM-B
  dc:modified "2024-10-18"^^xsd:date ;
  a skos:Concept ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Variance>, <https://fr.wikipedia.org/wiki/Variance_(math%C3%A9matiques)> ;
  skos:altLabel "second moment"@en, "moment d'ordre 2"@fr ;
  skos:inScheme psr: ;
  skos:broader psr:-LFQDHGDQ-7 ;
  skos:prefLabel "variance"@fr, "variance"@en ;
  skos:definition """In probability theory and statistics, <b>variance</b> is the expected value of the squared deviation from the mean of a random variable. The standard deviation (SD) is obtained as the square root of the variance. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value. It is the second central moment of a distribution, and the covariance of the random variable with itself, and it is often represented by <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle \\\\sigma ^{2}}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <msup>           <mi>σ<!-- σ --></mi>           <mrow class="MJX-TeXAtom-ORD">             <mn>2</mn>           </mrow>         </msup>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle \\\\sigma ^{2}}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/53a5c55e536acf250c1d3e0f754be5692b843ef5" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.385ex; height:2.676ex;" alt="{\\\\displaystyle \\\\sigma ^{2}}"></span>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle s^{2}}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <msup>           <mi>s</mi>           <mrow class="MJX-TeXAtom-ORD">             <mn>2</mn>           </mrow>         </msup>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle s^{2}}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/58d7841cee3671436949ee789b84a848fd150bd3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.145ex; height:2.676ex;" alt="{\\\\displaystyle s^{2}}"></span>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle \\\\operatorname {Var} (X)}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>Var</mi>         <mo>⁡<!-- ⁡ --></mo>         <mo stretchy="false">(</mo>         <mi>X</mi>         <mo stretchy="false">)</mo>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle \\\\operatorname {Var} (X)}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3831b31094283191b52da8ac97d77b8cca27ae54" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.606ex; height:2.843ex;" alt="{\\\\displaystyle \\\\operatorname {Var} (X)}"></span>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle V(X)}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>V</mi>         <mo stretchy="false">(</mo>         <mi>X</mi>         <mo stretchy="false">)</mo>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle V(X)}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87916cb7c6ff96b31f09ae92a1525573b3c606d9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.577ex; height:2.843ex;" alt="{\\\\displaystyle V(X)}"></span>, or <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle \\\\mathbb {V} (X)}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mrow class="MJX-TeXAtom-ORD">           <mi mathvariant="double-struck">V</mi>         </mrow>         <mo stretchy="false">(</mo>         <mi>X</mi>         <mo stretchy="false">)</mo>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathbb {V} (X)}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7d9f217eb55f3da6570449ac874541613e264a32" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.467ex; height:2.843ex;" alt="{\\\\displaystyle \\\\mathbb {V} (X)}"></span> 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Variance">https://en.wikipedia.org/wiki/Variance</a>)"""@en, """En statistique et en théorie des probabilités, la variance est une mesure de la dispersion des valeurs d'un échantillon ou d'une variable aléatoire. Elle exprime la moyenne des carrés des écarts à la moyenne, aussi égale à la différence entre la moyenne des carrés des valeurs de la variable et le carré de la moyenne, selon le théorème de König-Huygens. Ainsi, plus l'écart à la moyenne est grand plus il est prépondérant dans le calcul total (voir la fonction carré) de la variance qui donnerait donc une bonne idée sur la dispersion des valeurs. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Variance_(math%C3%A9matiques)">https://fr.wikipedia.org/wiki/Variance_(math%C3%A9matiques)</a>)"""@fr .