Almost sure local central limit theorem for sample range

DOI10.1080/03610926.2012.763092zbMath1360.60071OpenAlexW2052939657MaRDI QIDQ2979580

Qing Pei Zang

Publication date: 25 April 2017

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2012.763092

zbMATH Keywords

almost sure central limit theoremalmost sure local central limit theoremsample range

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (1)

The almost sure local central limit theorem for products of partial sums under negative association

Cites Work

• On almost sure max-limit theorems
• A note on the almost sure central limit theorem
• Almost sure convergence of sample range
• On almost sure local and global central limit theorems
• A note on the almost sure central limit theorem for weakly dependent random variables
• A note on the almost sure central limit theorem for some dependent random variables.
• Almost sure limit theorems for the maximum of stationary Gaussian sequences
• A universal result in almost sure central limit theory.
• A note on the asymptotic independence of the sum and maximum of strongly mixing stationary random variables
• The almost sure central limit theorems in the joint version for the maxima and sums of certain stationary Gaussian sequences
• An extension of almost sure central limit theory
• Almost sure max-limits for nonstationary Gaussian sequence
• Almost sure central limit theorem for partial sums and maxima
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem

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