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A functional central limit theorem is obtained for a stationary linear process of the form Xt = P1=0 aj†tij, where f†tg is a strictly stationary associated sequence of random variables with E†t = 0; E(† 2) < 1 and fajg is a sequence of real numbers with P1 j=0 jajj < 1: A central limit theorem for a stationary linear pro- cess generated by stationary associated processes is also discussed.

ON A FUNCTIONAL CENTRAL LIMIT THEOREM FOR STATIONARY LINEAR PROCESSES GENERATED BY ASSOCIATED PROCESSES