Further Study on the Marcinkiewicz Strong Laws for Linear Statistics of ρ*-Mixing Sequences of Random Variables

Haiwu Huang, Dingcheng Wang and Qunying Wu

Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 1, 125-134

Abstract: Some strong laws are established for linear statistics that are weighted sums of ∑i=1naniXi$\sum \nolimits _{i=1}^{n}{{{a}_{ni}}{{X}_{i}}}$, where {Xn; n ⩾ 1} is a sequence of ρ*-mixing random variables, and {ani; 1 ⩽ i ⩽ n, n ⩾ 1} is an array of real numbers. The results obtained extend and generalize the corresponding results of Guanghui Cai (Anais da Academia Brasileira de Cincias, 78(4):615–621, 2006) for identically distributed ρ*-mixing sequences of random variables.

Date: 2015
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DOI: 10.1080/03610926.2012.732179

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