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A Note on Erdös-Renyi Law of Large Numbers

Published online by Cambridge University Press:  20 November 2018

Chandrakant M. Deo
Chandrakant M. Deo*
Affiliation:
Math. Dept., University of Ottawa, Ottawa, Ontario, Canada KIN 6N5
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Abstract

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In this note the Erdös-Renyi law of large numbers is extended to stationary Gaussian sequences.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 4 , 01 December 1976 , pp. 497 - 500
Copyright
Copyright © Canadian Mathematical Society 1976

References

1. Berman, S. M., Limit theorems for maximum term in a stationary sequence, Ann. Math. Statist. 35 (1964), 502–516.Google Scholar
2. Deo, C. M., A note on stationary Gaussian sequences, Ann. Probability 2 (1974), 954–957.Google Scholar
3. Erdös, P. and Renyi, A., On a new law of large numbers, J. Analyse Math. 23 (1970), 103–111.Google Scholar
4. Feller, W., An Introduction to Probability Theory and its Applications, Vol. 1 (1968), 3d Ed, Wiley (New York).Google Scholar