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  • #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 space
    2 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 <ma
    3 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 m
    28 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 we
    5 KB (858 words) - 12:47, 29 December 2008