A uniform strong law of large numbers for partial sum processes of Banach space-valued random sets

DOI10.1016/S0167-7152(97)00149-1zbMath0908.60010OpenAlexW2008895432MaRDI QIDQ1130332

Lee-Chae Jang, Joong Sung Kwon

Publication date: 5 November 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(97)00149-1

zbMATH Keywords

partial sum processrandom setsuniform law of large numberssmooth boundary condition

Mathematics Subject Classification ID

Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

• A strong law of large numbers for partial-sum processes indexed by sets
• A strong law of large numbers for random compact sets
• Integrals, conditional expectations, and martingales of multivalued functions
• Strong law of large numbers for Banach space valued random sets
• Integrals of set-valued functions
• A Strong Limit Theorem for Random Sets
• An Embedding Theorem for Spaces of Convex Sets
• On the Measure of a Random Set
• On the Measure of a Random Set. II

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