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- Convergence_of_measures abstract "In mathematics, more specifically measure theory, there are various notions of the convergence of measures. For an intuitive general sense of what is meant by convergence in measure, consider a sequence of measures μn on a space, sharing a common collection of measurable sets. Such a sequence might represent an attempt to construct 'better and better' approximations to a desired measure μ that is difficult to obtain directly. The meaning of 'better and better' is subject to all the usual caveats for taking limits; for any error tolerance ε > 0 we require there be N sufficiently large for n ≥ N to ensure the 'difference' between μn and μ is smaller than ε. Various notions of convergence specify precisely what the word 'difference' should mean in that description; these notions are not equivalent to one another, and vary in strength.Three of the most common notions of convergence are described below.".
- Convergence_of_measures wikiPageID "6811795".
- Convergence_of_measures wikiPageRevisionID "593903012".
- Convergence_of_measures hasPhotoCollection Convergence_of_measures.
- Convergence_of_measures subject Category:Measure_theory.
- Convergence_of_measures comment "In mathematics, more specifically measure theory, there are various notions of the convergence of measures. For an intuitive general sense of what is meant by convergence in measure, consider a sequence of measures μn on a space, sharing a common collection of measurable sets. Such a sequence might represent an attempt to construct 'better and better' approximations to a desired measure μ that is difficult to obtain directly.".
- Convergence_of_measures label "Convergence of measures".
- Convergence_of_measures label "Portmanteau-Theorem".
- Convergence_of_measures label "测度收敛".
- Convergence_of_measures sameAs Portmanteau-Theorem.
- Convergence_of_measures sameAs m.0gq4qy.
- Convergence_of_measures sameAs Q2105205.
- Convergence_of_measures sameAs Q2105205.
- Convergence_of_measures wasDerivedFrom Convergence_of_measures?oldid=593903012.
- Convergence_of_measures isPrimaryTopicOf Convergence_of_measures.