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Strong laws of large numbers for sub-linear expectation without independence

Author

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  • Zengjing Chen
  • Cheng Hu
  • Gaofeng Zong

Abstract

In this paper, we investigate some strong laws of large numbers for sub-linear expectation without independence which generalize the classical ones. We give some strong laws of large numbers for sub-linear expectation on some moment conditions with respect to the partial sum and some conditions similar to Petrov’s. We can reduce the conclusion to a simple form when the the sequence of random variables is i.i.d. We also show a strong law of large numbers for sub-linear expectation with assumptions of quasi-surely.

Suggested Citation

  • Zengjing Chen & Cheng Hu & Gaofeng Zong, 2017. "Strong laws of large numbers for sub-linear expectation without independence," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(15), pages 7529-7545, August.
  • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:15:p:7529-7545
    DOI: 10.1080/03610926.2016.1154157
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