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A Central Limit Theorem for General Stochastic Processes

Published online by Cambridge University Press:  20 November 2018

Dudley Paul Johnson*
Affiliation:
Department of Mathematics and Statistics the University of Calgary, Calgary, Alberta T2N 1N4
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Abstract

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We show that under mild conditions the Central Limit Theorem holds for general stochastic processes.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1979

References

1. Dunford, N. and Schwartz, S. (1958). Linear Operators I: General theory. Pure and Appl. Math., Vol. 7, Interscience, New York.Google Scholar
2. Johnson, Dudley Paul, (1970). Markov Process representations of general stochastic processes. Proc. Amer. Math. Soc. 24, 735-738.Google Scholar
3. Johnson, Dudley Paul, (1974). Representations and classifications of stochastic processes. Trans. Amer. Math. Soc. 188 (1974), 179-197.Google Scholar
4. Meyer, P. A. (1966). Probability and potentials. Blaisdell, Waltham, Mass. Google Scholar