The law of the iterated logarithm for LNQD sequences

DOI10.1186/s13660-017-1607-5zbMath1388.60075OpenAlexW2783029277WikidataQ47556756 ScholiaQ47556756MaRDI QIDQ1691317

Yong Zhang

Publication date: 15 January 2018

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1607-5

zbMATH Keywords

Stein's methodlinear processlaw of the iterated logarithmLNQD sequenceBeveridge and Nelson decomposition

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (2)

Law of the logarithm and law of the iterated logarithm for a class of random variables with non-identical distributions ⋮ Approximation for the complete elliptic integral of the first kind

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Central limit theorem for stationary linear processes generated by linearly negative quadrant-dependent sequence
• Some inequalities for a LNQD sequence with applications
• Limsup results and a uniform LIL for partial sums of an LNQD sequence
• The functional central limit theorem for linear processes with strong near-epoch dependent innovations
• Invariance principles for linear processes with application to isotonic regression
• Asymptotic distribution for products of sums under dependence
• Strong laws of large numbers for arrays of rowwise NA and LNQD random variables
• Central limit theorem for stationary linear processes
• An almost sure central limit theorem for products of sums of partial sums under association
• A new proof of the Hartman-Wintner law of the iterated logarithm
• A random functional central limit theorem for stationary linear processes generated by martingales
• A comparison theorem on moment inequalities between negatively associated and independent random variables
• A central limit theorem with random indices for stationary linear processes
• Negative association of random variables, with applications
• Limiting behaviors of weighted sums for linearly negative quadrant dependent random variables
• A Berry-Esseen theorem for weakly negatively dependent random variables and its applications
• Exponential inequalities and complete convergence for a LNQD sequence
• EXPONENTIAL PROBABILITY INEQUALITY FOR LINEARLY NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES
• Complete convergence for weighted sums of LNQD random variables
• Some Concepts of Dependence
• A note on the Borel-Cantelli lemma
• A central limit theorem for stationary linear processes generated by linearly positively quadrant-dependent processes

This page was built for publication: The law of the iterated logarithm for LNQD sequences