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Limit theory for stationary processes via approximating martingales

Published online by Cambridge University Press:  01 July 2016

C. C. Heyde*
Affiliation:
Australian National University

Abstract

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Type
I. Invited Review and Research Papers
Copyright
Copyright © Applied Probability Trust 1974 

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References

Billingsley, P. (1961) The Lindeberg-Lévy theorem for martingales. Proc. Amer. Math. Soc. 12, 788792.Google Scholar
Billingsley, P. (1968) Convergence of Probability Measures. Wiley, New York.Google Scholar
Heyde, C. C. and Scott, D. J. (1973) Invariance principles for the law of the iterated logarithm for martingales and processes with stationary increments. Ann. Probab. 1, 428436.Google Scholar