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Strong law of large numbers for unions of random closed sets

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Publication:2368163
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DOI10.1016/0304-4149(93)90002-LzbMath0789.60030MaRDI QIDQ2368163

Ilya S. Molchanov

Publication date: 6 June 1994

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)


zbMATH Keywords

Hausdorff metricalmost sure convergenceregularly varying functionsChoquet capacityrandom closed set


Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Strong limit theorems (60F15)





Cites Work

  • Unnamed Item
  • On regular variation of probability densities
  • Random capacities and their distributions
  • Theory of capacities
  • Almost sure limit sets of random samples in ℝd
  • Almost sure stability of maxima
  • Regularly varying functions




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