Abstract
Complete convergence is studied for linear statistics that are weighted sums of identically distributed -mixing random variables under a suitable moment condition. The results obtained generalize and complement some earlier results. A Marcinkiewicz-Zygmund-type strong law is also obtained.
Highlights
Suppose that {Xn; n ≥ 1} is a sequence of random variables and S is a subset of the natural number set N
Complete convergence is studied for linear statistics that are weighted sums of identically distributed ρ∗-mixing random variables under a suitable moment condition
Many useful results have been obtained for ρ∗-mixing random variables
Summary
Complete convergence is studied for linear statistics that are weighted sums of identically distributed ρ∗-mixing random variables under a suitable moment condition. Suppose that {Xn; n ≥ 1} is a sequence of random variables and S is a subset of the natural number set N. Many useful results have been obtained for ρ∗-mixing random variables.
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