TY  - JOUR
AU  - Stoica, George 
PY  - 2011
TI  - Complete Convergence of Exchangeable Sequences
JF  - Journal of Mathematics and Statistics
VL  - 7
IS  - 2
DO  - 10.3844/jmssp.2011.95.97
UR  - https://thescipub.com/abstract/jmssp.2011.95.97
AB  - 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.