A new family of convex weakly compact valued random variables in Banach space and applications to laws of large numbers

DOI10.1016/j.spl.2011.08.012zbMath1230.60008OpenAlexW2016095601MaRDI QIDQ654478

Nguyen Van Quang, Nguyen Tran Thuan, Charles Castaing

Publication date: 28 December 2011

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2011.08.012

zbMATH Keywords

law of large numbersset-valued random variableadapted array of type \(p\)weak adapted array of type \(p\)

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (3)

Inequalities for sums of adapted random fields in Banach spaces and their application to strong law of large numbers ⋮ Law of large numbers and Ergodic Theorem for convex weak star compact valued Gelfand-integrable mappings ⋮ Mosco convergence of SLLN for triangular arrays of rowwise independent random sets

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