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THE $L_{r}$ CONVERGENCE AND WEAK LAWS OF LARGE NUMBERS FOR $\widetilde{\unicode[STIX]{x1D70C}}$ -MIXING RANDOM VARIABLES

Part of: Limit theorems

Published online by Cambridge University Press:  19 April 2017

YAN-JIAO MENG Open the ORCID record for YAN-JIAO MENG [Opens in a new window]
YAN-JIAO MENG*
Affiliation:
China Jiliang University, Hangzhou, China email yjmeng121@cjlu.edu.cn
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Abstract

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The $L_{r}$ convergence and a class of weak laws of large numbers are obtained for sequences of $\widetilde{\unicode[STIX]{x1D70C}}$ -mixing random variables under the uniform Cesàro-type condition. This is weaker than the $p$ th-order Cesàro uniform integrability.

Keywords

˜𝜌-mixinguniform Cesàro-type conditionL r convergenceweak law of large numbers

MSC classification

Primary: 60F15: Strong theorems

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 58 , Issue 3-4 , April 2017 , pp. 455 - 463
Copyright
© 2017 Australian Mathematical Society 

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