A limit theorem for partial sums of random variables and its applications.

DOI10.1016/S0167-7152(02)00428-5zbMath1116.60322OpenAlexW2087059462MaRDI QIDQ1423274

Jia'an Yan, Wei-guo Yang, Wen Liu

Publication date: 14 February 2004

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(02)00428-5

zbMATH Keywords

Strong laws of large numbersExtended Borel-Cantelli lemma

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (3)

Consistency and Normality ofM-Estimators in Partly Linear Models with Stochastic Adapted Errors ⋮ A local convergence theorem for partial sums of stochastic adapted sequences ⋮ A note on strong limit theorems for arbitrary stochastic sequences

Cites Work

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• A limit theorem for the entropy density of nonhomogeneous Markov information source
• Strong law of large numbers for Markov chains field on a Bethe tree
• A Sharper Form of the Borel-Cantelli Lemma and the Strong Law

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