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On the Jajte strong law of large numbers

Author

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  • Chen, Pingyan
  • Sung, Soo Hak

Abstract

For a sequence of independent and identically distributed random variables, Jajte (2003) established a strong law of large numbers for weighted sums of the random variables. In this paper, we generalize the result of Jajte (2003). We also obtain a new strong law of large numbers for weighted sums of the random variables.

Suggested Citation

  • Chen, Pingyan & Sung, Soo Hak, 2021. "On the Jajte strong law of large numbers," Statistics & Probability Letters, Elsevier, vol. 176(C).
    • Handle: RePEc:eee:stapro:v:176:y:2021:i:c:s0167715221001000
    DOI: 10.1016/j.spl.2021.109138
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    References listed on IDEAS

    as
    1. Jiangfeng Wang & Qunying Wu, 2011. "Strong Laws of Large Numbers for Arrays of Rowwise NA and LNQD Random Variables," Journal of Probability and Statistics, Hindawi, vol. 2011, pages 1-10, December.
    2. 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.
    3. Zhou, Xingcai, 2010. "Complete moment convergence of moving average processes under [phi]-mixing assumptions," Statistics & Probability Letters, Elsevier, vol. 80(5-6), pages 285-292, March.
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