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Published online by Cambridge University Press: 18 October 2010
Let … be a moving average process of infinite order where the innovations ε(k) are in the domain of attraction of a stable law with index α ε (0, 2) and the parameter sequence decreases at a polynomial or exponential rate. These and similar processes have recently received increased attention both in the econometrics and statistics/probability literature. The present paper studies almost sure uniform rates of convergence of the empirical distribution function. Applications of these infinite variance processesin econometrics are mentioned.