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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
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.
MSC classification
Primary:
60F15: Strong theorems
Information
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- Research Article
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- Copyright
- © 2017 Australian Mathematical Society
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