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Vorlage:Infobox Verteilung

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Infobox Verteilung

{{{pdf_image}}}
Verteilungsfunktion
{{{cdf_image}}}
Parameter {{{parameters}}}
Übersicht der Eigenschaften von Wahrscheinlichkeitsverteilungen

<templatestyles src="TOC nonum/styles.css"></templatestyles>

⧼templatedata-doc-params⧽

Namename
Name der Verteilung
⧼templatedata-doc-param-example⧽
Arcsin-Verteilung
Typtype
⧼templatedata-doc-param-example⧽
density
pdf_imagepdf_image
⧼templatedata-doc-param-example⧽
[[Datei:Arcsin density.svg|350px|Arcsin-Dichteverteilung]]
cdf_imagecdf_image
⧼templatedata-doc-param-example⧽
[[Datei:Arcsin cdf.svg|350px|Arcsin-[[Verteilungsfunktion]]]]
Parameterparameters
⧼templatedata-doc-param-example⧽
keine
supportsupport
⧼templatedata-doc-param-example⧽
<math>x \in [0,1]</math>
pdfpdf
⧼templatedata-doc-param-example⧽
<math>\frac{1}{\pi\sqrt{x(1-x)}}</math>
cdfcdf
⧼templatedata-doc-param-example⧽
<math>\frac{2}{\pi}\arcsin\left( \sqrt{x} \right)</math>
meanmean
⧼templatedata-doc-param-example⧽
<math>\frac{1}{2}</math>
medianmedian
⧼templatedata-doc-param-example⧽
<math>\frac{1}{2}</math>
modemode
⧼templatedata-doc-param-example⧽
<math>{0,1\}</math>
variancevariance
⧼templatedata-doc-param-example⧽
<math>\frac}1}8}</math>
skewnessskewness
⧼templatedata-doc-param-example⧽
<math>0</math>
kurtosiskurtosis
entropyentropy
mgfmgf
charchar
fisherfisher
<templatedata>{"format":"block","description":"Übersicht der Eigenschaften von Wahrscheinlichkeitsverteilungen","paramOrder":["name","type","pdf_image","cdf_image","parameters","support","pdf","cdf","mean","median","mode","variance","skewness","kurtosis","entropy","mgf","char","fisher"],

"params":{ "name":{"suggested":true,"type":"line","description":"Name der Verteilung","label":"Name","example":"Arcsin-Verteilung"},

"type":{"suggested":true,"type":"line","description":"","label":"Typ","example":"density"},

"pdf_image":{"suggested":true,"type":"content","description":"","label":"","example":"Arcsin-Dichteverteilung"},

"cdf_image":{"suggested":true,"type":"content","description":"","label":"","example":"Arcsin-Verteilungsfunktion"},

"parameters":{"suggested":true,"type":"unknown","description":"","label":"Parameter","example":"keine"},

"support":{"suggested":true,"type":"content","description":"Träger","label":"","example":"<math>x \\in [0,1]</math>"},

"pdf":{"suggested":true,"type":"content","description":"","label":"","example":"<math>\\frac{1}{\\pi\\sqrt{x(1-x)}}</math>"},

"cdf":{"suggested":true,"type":"content","description":"Verteilungsfunktion","label":"","example":"<math>\\frac{2}{\\pi}\\arcsin\\left( \\sqrt{x} \\right)</math>"},

"mean":{"suggested":true,"type":"content","description":"Erwartungswert","label":"","example":"<math>\\frac{1}{2}</math>"},

"median":{"suggested":true,"type":"content","description":"Median","label":"","example":"<math>\\frac{1}{2}</math>"},

"mode":{"suggested":true,"type":"content","description":"Modus","label":"","example":"<math>{0,1\\}</math>"},

"variance":{"suggested":true,"type":"content","description":"Varianz","label":"","example":"<math>\\frac}1}8}</math>"},

"skewness":{"suggested":true,"type":"content","description":"Schiefe","label":"","example":"<math>0</math>"},

"kurtosis":{"suggested":true,"type":"content","description":"Wölbung","label":"","example":""},

"entropy":{"suggested":true,"type":"content","description":"Entropie","label":"","example":""},

"mgf":{"suggested":true,"type":"content","description":"Momenterzeugende Funktion","label":"","example":""},

"char":{"suggested":true,"type":"content","description":"Charakteristische Funktion","label":"","example":""},

"fisher":{"suggested":true,"type":"content","description":"Fisher-Information","label":"","example":""} }

}</templatedata>

Kopiervorlage

<syntaxhighlight lang="wikitext" copy>

Infobox Verteilung

Verteilungsfunktion
Parameter

</syntaxhighlight>