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- In [[probability theory]], the notion of '''probability space''' The notion "probability space" provides a basis of the formal structure of probability theory.18 KB (2,797 words) - 14:37, 30 January 2011
- 133 bytes (18 words) - 06:48, 4 January 2010
- 868 bytes (138 words) - 17:23, 17 October 2009
- 197 bytes (27 words) - 17:17, 17 October 2009
Page text matches
- #REDIRECT [[Probability space]]31 bytes (3 words) - 13:15, 15 May 2010
- ...th>\scriptstyle \mu(\Omega)=1</math> then the measure space is called a '''probability space'''.590 bytes (82 words) - 05:53, 12 May 2008
- Let <math>(\Omega,\mathcal{F},P)</math> be an arbitrary [[measure space|probability space]] and <math>(\Omega',\mathcal{F}')</math> an arbitrary [[measurable space]] Consider the probability space <math>(\mathbb{R},\mathcal{B}(\mathbb{R}),P)</math> where <math>\mathcal{B}2 KB (383 words) - 17:06, 17 October 2007
- * [[probability space]]4 KB (672 words) - 14:38, 30 January 2011
- ...[[random variable]]s on the same sample space (more precisely, the same [[probability space]]).4 KB (694 words) - 17:27, 25 August 2013
- ...[[random variable]]s on the same sample space (more precisely, the same [[probability space]]).4 KB (694 words) - 17:28, 25 August 2013
- In [[probability theory]], the notion of '''probability space''' The notion "probability space" provides a basis of the formal structure of probability theory.18 KB (2,797 words) - 14:37, 30 January 2011
- ...To this end, let <math>(\Omega,\mathcal{F},P)</math> be a [[measure space|probability space]] (in particular, <math>(\Omega,\mathcal{F}</math>) is a [[measurable space2 KB (393 words) - 06:53, 14 July 2008
- ...the space of (equivalence classes of) bounded measurable functions for a [[probability space]] <math>(\Omega, \mathcal{F}, \mathbb{P})</math> to <math>\mathbb{R}</math>12 KB (1,781 words) - 14:50, 7 December 2008
- ...hcal{F},P)</math> be a [[complete measure space|complete]] [[measure space|probability space]]. Let <math>\scriptstyle 0 \,\in\, T \,\subset\, [0,\infty)</math> and <ma3 KB (544 words) - 06:40, 6 March 2008
- ====[[Measurable space|Measurable]], [[Measure space|measure]], and [[Probability space|probability spaces]]==== ...to 1. The product of any family (finite or not) of probability spaces is a probability space. In contrast, for measure spaces in general, only the product of finitely m28 KB (4,311 words) - 08:36, 14 October 2010
- ...th> runs over <math>(-1,1),</math> and these events are a partition of the probability space.32 KB (5,149 words) - 15:48, 29 June 2009
- ...''probability measure'' (the underlying measure space is then called the [[probability space]])14 KB (2,350 words) - 17:37, 10 November 2007
- Let <math>(\Omega, \mathcal{F}, \mathbb{F}, \mathbb{P})</math> be a probability space with a filtration <math>\mathbb{F}=(\mathcal{F}_t)_{t\geq 0}</math> that we5 KB (858 words) - 12:47, 29 December 2008