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THE $L_{r}$ CONVERGENCE AND WEAK LAWS OF LARGE NUMBERS FOR $\widetilde{\unicode[STIX]{x1D70C}}$-MIXING RANDOM VARIABLES
Published online by Cambridge University Press: 19 April 2017
Abstract
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.
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- © 2017 Australian Mathematical Society