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On the strong laws of large numbers for weighted sums of random variables

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  • Chen, Pingyan
  • Sung, Soo Hak

Abstract

Let {Xn,n≥1} be a sequence of random variables which is stochastically dominated by a random variable. Let {an,n≥1} and {bn,n≥1} be sequences of real numbers with 0

Suggested Citation

  • Chen, Pingyan & Sung, Soo Hak, 2016. "On the strong laws of large numbers for weighted sums of random variables," Statistics & Probability Letters, Elsevier, vol. 118(C), pages 87-93.
    • Handle: RePEc:eee:stapro:v:118:y:2016:i:c:p:87-93
    DOI: 10.1016/j.spl.2016.06.020
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    References listed on IDEAS

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    1. Rosalsky, Andrew & Stoica, George, 2010. "On the strong law of large numbers for identically distributed random variables irrespective of their joint distributions," Statistics & Probability Letters, Elsevier, vol. 80(17-18), pages 1265-1270, September.
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    Cited by:

    1. Chen, Pingyan & Sung, Soo Hak, 2021. "On the Jajte strong law of large numbers," Statistics & Probability Letters, Elsevier, vol. 176(C).
    2. Chen, Zengjing & Epstein, Larry G., 2022. "A central limit theorem for sets of probability measures," Stochastic Processes and their Applications, Elsevier, vol. 152(C), pages 424-451.
    3. Feng, Chunrong & Wu, Panyu & Zhao, Huaizhong, 2020. "Ergodicity of invariant capacities," Stochastic Processes and their Applications, Elsevier, vol. 130(8), pages 5037-5059.
    4. Feng, Xinwei, 2017. "Self-normalized large deviations under sublinear expectation," Statistics & Probability Letters, Elsevier, vol. 123(C), pages 77-83.
    5. Peiyu Sun & Dehui Wang & Xili Tan, 2023. "Equivalent Conditions of Complete p-th Moment Convergence for Weighted Sum of ND Random Variables under Sublinear Expectation Space," Mathematics, MDPI, vol. 11(16), pages 1-16, August.
    6. Lita da Silva, João, 2018. "Strong laws of large numbers for pairwise quadrant dependent random variables," Statistics & Probability Letters, Elsevier, vol. 137(C), pages 349-358.
    7. Guo, Xiaofan & Li, Xinpeng, 2021. "On the laws of large numbers for pseudo-independent random variables under sublinear expectation," Statistics & Probability Letters, Elsevier, vol. 172(C).
    8. Quang, Nguyen Van & Son, Do The & Son, Le Hong, 2017. "The strong laws of large numbers for positive measurable operators and applications," Statistics & Probability Letters, Elsevier, vol. 124(C), pages 110-120.

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