Measure space: Difference between revisions
Jump to navigation
Jump to search
imported>Subpagination Bot m (Add {{subpages}} and remove any categories (details)) |
imported>Hendra I. Nurdin mNo edit summary |
||
| Line 1: | Line 1: | ||
{{subpages}} | {{subpages}} | ||
In [[mathematics]], a '''measure space''' is a triple <math>(\Omega,\mathcal{F},\mu)</math> where <math>\Omega</math> is a [[set]], <math>\mathcal{F}</math> is a [[sigma algebra]] of subsets of <math>\Omega</math> and <math>\mu</math> is a [[measure (mathematics)|measure]] on <math>\mathcal{F}</math>. If <math>\mu</math> satisfies <math>\mu(\Omega)=1</math> then the measure space is called a '''probability space'''. | In [[mathematics]], a '''measure space''' is a triple <math>\scriptstyle (\Omega,\mathcal{F},\mu)</math> where <math>\scriptstyle \Omega</math> is a [[set]], <math>\scriptstyle \mathcal{F}</math> is a [[sigma algebra]] of subsets of <math>\scriptstyle \Omega</math> and <math>\mu</math> is a [[measure (mathematics)|measure]] on <math>\scriptstyle \mathcal{F}</math>. If <math>\mu</math> satisfies <math>\scriptstyle \mu(\Omega)=1</math> then the measure space is called a '''probability space'''. | ||
==See also== | ==See also== | ||
Latest revision as of 05:53, 12 May 2008
In mathematics, a measure space is a triple where is a set, is a sigma algebra of subsets of and is a measure on . If satisfies then the measure space is called a probability space.
