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The central limit theorem in the space \(D[0,1]\). I

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Publication:1897871
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DOI10.1007/BF00970935zbMath0834.60021OpenAlexW4245624366MaRDI QIDQ1897871

Vygantas Paulauskas, Mindaugas Bloznelis

Publication date: 18 September 1995

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00970935


zbMATH Keywords

central limit theoremSkorokhod topologyspace of real-valued functions


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)




Cites Work

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  • On the central limit theorem in D[0,1 and D([0,1],H)]
  • Some limit theorems for empirical processes (with discussion)
  • Central limit theorem in the space D[0,1]
  • Conditions for sample-continuity and the central limit theorem
  • Sample-continuity of square-integrable processes
  • On the central limit theorem in \(D[0,1\)]
  • A Note on the Central Limit Theorem for Square-Integrable Processes
  • The asymptotic strength distribution of a general fiber bundle
  • A central limit theorem for stochastic processes with independent increments


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