Difference between revisions of "Probability space"

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We call it a probability space if <math>\mu</math> is a '''Probability measure'''<ref>p22 - Measures, Integrals and Martingales - Rene L. Schilling</ref>, which means that <math>\mu(X)=1</math>
 
We call it a probability space if <math>\mu</math> is a '''Probability measure'''<ref>p22 - Measures, Integrals and Martingales - Rene L. Schilling</ref>, which means that <math>\mu(X)=1</math>
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==See also==
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* [[Measure]]
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* [[Measure Theory]]
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==References==
 
{{Definition|Measure Theory}}
 
{{Definition|Measure Theory}}

Revision as of 19:32, 18 March 2015

Definition

Given a measure space [ilmath](X,\mathcal{A},\mu)[/ilmath]


We call it a probability space if [math]\mu[/math] is a Probability measure[1], which means that [math]\mu(X)=1[/math]

See also

References

  1. p22 - Measures, Integrals and Martingales - Rene L. Schilling