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
@article{10996,
title = {The \( L\_r \) convergence and weak laws of large numbers for \(\widetilde{\rho}\)-mixing random variables},
journal = {ANZIAM Journal},
volume = {58},
year = {2017},
doi = {10.21914/anziamj.v58i0.10996},
language = {EN},
url = {http://dml.mathdoc.fr/item/10996}
}
Meng, Yanjiao. The \( L_r \) convergence and weak laws of large numbers for \(\widetilde{\rho}\)-mixing random variables. ANZIAM Journal, Tome 58 (2017) . doi : 10.21914/anziamj.v58i0.10996. http://gdmltest.u-ga.fr/item/10996/