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Some Limit Theorems for Linear Processes Generated by Symmetrically Exchangeable Random Variables

For the linear process , where {a i ; i ≥ 0} is an absolutely summable sequence of real numbers, and {ϵ i ; − ∞ <i < ∞} is a doubly infinite sequence of symmetrically exchangeable random variables with zero means and finite variances, some limit theorems, including the central limit theorem, complete convergence and the law of iterated logarithm, are obtained for the partial sums of the linear processes.