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Let Zi, =0, +/-1, +/-2,..., be a sequence of independent random variables with characteristic functions (c.f.) rpi(u) and probability densities pi(x), and let {gk}, k O, 1, 2, ", be a certain sequence of numbers: go 0. Suppose that there exist random variables X for which XIN =o giZj-i-X converges weakly to zero as N 00 and Ixl < a.s. Chanda [1] formulated the following result: if Z are identically distributed, ElZol < , g0=l, Io(u)ldu<=l and then X/ satisfy the strong mixing (s.m.) condition with mixing coefficient a(k) <-M ,= ilg, /1+), where M is a certain constant.

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