@article {10.3844/jmssp.2011.95.97,
article_type = {journal},
title = {Complete Convergence of Exchangeable Sequences},
author = {Stoica, George},
volume = {7},
year = {2011},
month = {May},
pages = {95-97},
doi = {10.3844/jmssp.2011.95.97},
url = {https://thescipub.com/abstract/jmssp.2011.95.97},
abstract = {We prove that exchangeable sequences converge completely in the Baum-Katz sense under
the same conditions as i.i.d. sequences do. Problem statement: The research was needed as the rate of
convergence in the law of large numbers for exchangeable sequences was previously obtained under
restricted hypotheses. Approach: We applied powerful techniques involving inequalities for
independent sequences of random variables. Results: We obtained the maximal rate of convergence
and provided an example to show that our findings are sharp. Conclusion/Recommendations: The
technique used in the paper may be adapted in the similar study for identically distributed sequences.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}