An Extension of Almost Sure Central Limit Theory for the Product of Partial Sums

DOI10.1080/1726037X.2009.10698562zbMath1180.60030OpenAlexW2017809194MaRDI QIDQ3181900

Yu Miao

Publication date: 12 October 2009

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1726037x.2009.10698562

zbMATH Keywords

product of the partial sums

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items

Asymptotic distribution of products of sums of independent random variables, Limit theorems for linear processes generated by ρ-mixing sequence, Further research on limit theorems for self-normalized sums, Moderate deviations principle for products of sums of random variables

Cites Work

• A note on the almost sure central limit theorem
• Central limit theorem and almost sure central limit theorem for the product of some partial sums
• The asymptotic distribution of sums of records
• Asymptotics for products of sums and \(U\)-statistics
• Almost sure limit theorems for the maximum of stationary Gaussian sequences
• The logarithmic average of sample extremes is asymptotically normal.
• A universal result in almost sure central limit theory.
• A note on the almost sure limit theorem for the product of partial sums
• An extension of almost sure central limit theory