A nonclassical LIL for geometrically weighted series in Banach space

DOI10.1007/s10114-013-1591-8zbMath1271.60046OpenAlexW2055974825MaRDI QIDQ353622

Xiao Rong Yang, Wei Huang, Ke Ang Fu

Publication date: 16 July 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1591-8

zbMATH Keywords

Banach spacegeometrically weighted seriesnonclassical law of the iterated logarithm

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (1)

A self-normalized law of the iterated logarithm for the geometrically weighted random series

Cites Work

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• Gaussian approximation of local empirical processes indexed by functions
• A nonclassical law of the iterated logarithm for functions of positively associated random variables
• General one-sided laws of the iterated logarithm
• A law of the iterated logarithm for geometrically weighted martingale difference sequences
• Strong approximation theorems for geometrically weighted random series and their applications
• A law of the iterated logarithm for geometrically weighted series of negatively associated random variables.
• A law of the iterated logarithm for random geometric series
• A NONCLASSICAL LAW OF THE ITERATED LOGARITHM FOR I.I.D. SQUARE INTEGRABLE RANDOM VARIABLES
• A Nonclassical Law of the Iterated Logarithm for Functions of Negatively Associated Random Variables
• Towards a universal self-normalized moderate deviation
• Characterization of LIL behavior in Banach space
• A NONCLASSICAL LAW OF THE ITERATED LOGARITHM FOR I.I.D. SQUARE INTEGRABLE RANDOM VARIABLES. II

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