A note on the weak law of large numbers of Kolmogorov and Feller

DOI10.1007/s12044-019-0528-2zbMath1431.60032OpenAlexW3032268181WikidataQ114852261 ScholiaQ114852261MaRDI QIDQ2303716

Jianyong Mu, Fuqiang Ma, Yu Miao

Publication date: 4 March 2020

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-019-0528-2

zbMATH Keywords

weak law of large numbersmoment convergenceNQD sequence

Mathematics Subject Classification ID

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

Related Items (2)

Weak law of large numbers and complete convergence for general dependent sequences ⋮ On a weak law of large numbers with regularly varying normalizing sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Kolmogorov type law of the logarithm for arrays
• An extension of the Kolmogorov-Feller weak law of large numbers with an application to the St. Petersburg game
• Complete convergence for arrays
• Iterated logarithm laws for asymmetric random variables barely with or without finite mean
• Negative association of random variables, with applications
• Some limit theorems for negatively associated random variables
• An analogue for Marcinkiewicz-Zygmund strong law of negatively associated random variables
• Complete convergence for weighted sums of mixingale sequences and statistical applications
• A Generalization of Weak Law of Large Numbers
• On the rate of convergence in the strong law of large numbers for martingales
• On an Extension of the Weak Law of Large Numbers of Kolmogorov and Feller
• Some Concepts of Dependence

This page was built for publication: A note on the weak law of large numbers of Kolmogorov and Feller