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

摘要

Some strong laws are established for linear statistics that are weighted sums of Sigma(n)(i+1) a(ni) X-i, where {X-n; n >= 1} is a sequence of rho*-mixing random variables, and {a(ni); 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 rho*-mixing sequences of random variables.