The \( L_r \) convergence and weak laws of large numbers for \(\widetilde{\rho}\)-mixing random variables

Authors

DOI:

https://doi.org/10.21914/anziamj.v58i0.10996

Keywords:

\(\widetilde{\rho}\)-mixing, uniform Cesàro-type condition, \(L_{r}\) convergence, weak law of large numbers.

Abstract

The \(L_{r}\) convergence and a class of weak laws of large numbers are obtained for sequences of \(\widetilde{\rho}\)-mixing random variables under the uniform Cesàro-type condition. This is weaker than the \(p\)th-order Cesàro uniform integrability. doi:10.1017/S1446181117000037

Published

2017-07-20

Issue

Vol. 58 (2016)

Section

ANZIAM-ZPAMS Joint Meeting