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On the convergence of vector random measures

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Publication:1123469
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DOI10.1007/BF01193580zbMath0677.60004MaRDI QIDQ1123469

S. H. Smith

Publication date: 1991

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


zbMATH Keywords

Vitali-Hahn-Saks theoremBanach space-valued symmetric independently scattered random measurescentral limit theorem for Banach valued random variables


Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Convergence of probability measures (60B10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)


Related Items (4)

Vague convergence of locally integrable martingale measures ⋮ Limit theorems of Hilbert valued semimartingales and Hilbert valued martingale measures ⋮ On the convergence of vector random measures ⋮ Weak convergence of hilbert valued martingale measures



Cites Work

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  • On the convergence of vector random measures
  • The law of large numbers and the central limit theorem in Banach spaces
  • Stable Measures and Central Limit Theorems in Spaces of Stable Type
  • WIENER INTEGRAL BY STABLE RANDOM MEASURE
  • Random integrals of Banach space valued functions
  • Stochastic processes




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