Limit law of the iterated logarithm for \(B\)-valued trimmed sums

DOI10.1007/S12044-015-0224-9zbMath1327.60076OpenAlexW2474180938MaRDI QIDQ2354964

Yuyang Qiu, Yeling Tong, Ke Ang Fu

Publication date: 27 July 2015

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-015-0224-9

zbMATH Keywords

law of the iterated logarithmseparable Banach spacetrimmed sums

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

The limit law of the iterated logarithm for linear processes

Cites Work

• The limit law of the iterated logarithm in Banach space
• Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables
• A general LIL for trimmed sums of random fields in Banach spaces
• Extreme values and the law of the iterated logarithm
• Strong approximation theorems for sums of random variables when extreme terms are excluded
• LIL and the approximation of rectangular sums of \(B\)-valued random variables when extreme terms are excluded
• A nonclassical LIL for sums of \(B\)-valued random variables when extreme terms are excluded
• The strong law of large numbers when extreme terms are excluded from sums
• Stability for sums of i.i.d. random variables when extreme terms are excluded

This page was built for publication: Limit law of the iterated logarithm for \(B\)-valued trimmed sums