Abstract
This paper presents a central limit theorem for a sequence of dependent random variables X 1 , X 2
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
S. Bernstein, “Sur l’extension du théorème limite du calcul des probabilités aux sommes de quantités dépendentes,” Math. Ann., 97, 1–59, 1927.
E. Hopf, Ergodentheorie (“Ergebnisse” series). J. Springer, Berlin, 1937.
W. Höffding and H. Robbins, ”The Central Limit Theorem for Dependent Random Variables,” Duke Math. J., 15, 773–780, 1948.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Davis, R.A., Lii, KS., Politis, D.N. (2011). A Central Limit Theorem and a Strong Mixing Condition. In: Davis, R., Lii, KS., Politis, D. (eds) Selected Works of Murray Rosenblatt. Selected Works in Probability and Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8339-8_12
Download citation
DOI: https://doi.org/10.1007/978-1-4419-8339-8_12
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-8338-1
Online ISBN: 978-1-4419-8339-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)