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On Asymptotics of the Sample Distribution for a Class of Linear Process Models in Economics

Published online by Cambridge University Press:  18 October 2010

C. H. Hesse
Affiliation:
University of California at Berkeley

Abstract

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.

Type
Articles
Copyright
Copyright © Cambridge University Press 1992

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