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Almost surely convergent random variables with given laws

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Publication:1119253
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DOI10.1007/BF00367303zbMath0671.60003MaRDI QIDQ1119253

Andreas Schief

Publication date: 1989

Published in: Probability Theory and Related Fields (Search for Journal in Brave)


zbMATH Keywords

weak convergencetopologyalmost sure convergenceLusin spaceweak


Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Spaces of measures, convergence of measures (28A33) Convergence of probability measures (60B10) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)


Related Items

Uniformities for the convergence in law and in probability ⋮ \(k^*\)-metrizable spaces and their applications



Cites Work

  • Topological properties of the addition map in spaces of Borel measures
  • Convergence of stochastic empirical measures
  • On continuous image averaging of Borel measures
  • Almost surely convergent versions of sequences which converge weakly
  • Distances of Probability Measures and Random Variables
  • On the Construction of Almost Uniformly Convergent Random Variables with Given Weakly Convergent Image Laws
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