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Convergence rates in the law of large numbers under sublinear expectations

Probability 2019-03-15 v1

Abstract

In this note, we study convergence rates in the law of large numbers for independent and identically distributed random variables under sublinear expectations. We obtain a strong LpL^p-convergence version and a strongly quasi sure convergence version of the law of large numbers.

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Cite

@article{arxiv.1903.05806,
  title  = {Convergence rates in the law of large numbers under sublinear expectations},
  author = {Ze-Chun Hu and Ning-Hua Liu and Ting Ma},
  journal= {arXiv preprint arXiv:1903.05806},
  year   = {2019}
}

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12 pages