The asymptotic stability of the maximum of independent random elements in function Banach lattices

DOI10.1090/S0094-9000-2013-00885-0zbMath1308.60011OpenAlexW1984961821MaRDI QIDQ2922884

Ivan K. Matsak, K. S. Akbash

Publication date: 15 October 2014

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0094-9000-2013-00885-0

zbMATH Keywords

asymptotic stabilityBanach ideal spacesmaximum of independent random elements

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach spaces of continuous, differentiable or analytic functions (46E15) Lattices of continuous, differentiable or analytic functions (46E05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

• Classical Banach spaces
• Sur la distribution limite du terme maximum d'une série aléatoire
• Moment Convergence of Sample Extremes
• On the Limit Behaviour of Extreme Order Statistics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item