Necessary and sufficient conditions for the strong law of large numbers

Abstract

Under some mild regularity on the normalizing sequence, we obtain necessary and sufficient conditions for the Strong Law of Large Numbers for (symmetrized) U-statistics. We also obtain nasc’s for the a.s. convergence of series of an analogous form. 
DOI: 10.1007/s10998-011-5061-8

Topics

Cite this paper

@article{Mricz2011NecessaryAS, title={Necessary and sufficient conditions for the strong law of large numbers}, author={Ferenc M{\'o}ricz}, journal={Periodica Mathematica Hungarica}, year={2011}, volume={62}, pages={61-73} }