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On Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear Expectations

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  • Xiaochen Ma
  • Qunying Wu

Abstract

In this article, we research some conditions for strong law of large numbers (SLLNs) for weighted sums of extended negatively dependent (END) random variables under sublinear expectation space. Our consequences contain the Kolmogorov strong law of large numbers and the Marcinkiewicz strong law of large numbers for weighted sums of extended negatively dependent random variables. Furthermore, our results extend strong law of large numbers for some sequences of random variables from the traditional probability space to the sublinear expectation space context.

Suggested Citation

  • Xiaochen Ma & Qunying Wu, 2019. "On Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear Expectations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2019, pages 1-8, April.
    • Handle: RePEc:hin:jnddns:7945431
    DOI: 10.1155/2019/7945431
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