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Complete moment convergence for pairwise i.i.d. random variables with regularly varying moments

Author

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  • Wu, Yongfeng
  • Guan, Mei

Abstract

The authors study the complete moment convergence for pairwise independent and identically distributed (i.i.d.) random variables with regularly varying moments. The obtained results in this work extend and improve the corresponding theorems of Stoica and Li (2025) and Chen et al. (2014).

Suggested Citation

  • Wu, Yongfeng & Guan, Mei, 2026. "Complete moment convergence for pairwise i.i.d. random variables with regularly varying moments," Statistics & Probability Letters, Elsevier, vol. 231(C).
    • Handle: RePEc:eee:stapro:v:231:y:2026:i:c:s0167715225002767
    DOI: 10.1016/j.spl.2025.110631
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    References listed on IDEAS

    as
    1. Son Ta Cong & Cuong Tran Manh & Hang Bui Khanh & Dung Le Van, 2024. "On the Baum–Katz theorem for randomly weighted sums of negatively associated random variables with general normalizing sequences and applications in some random design regression models," Statistical Papers, Springer, vol. 65(3), pages 1869-1900, May.
    2. Rosalsky, Andrew & Thành, Lê Vǎn, 2021. "A note on the stochastic domination condition and uniform integrability with applications to the strong law of large numbers," Statistics & Probability Letters, Elsevier, vol. 178(C).
    3. Stoica, George & Li, Deli, 2025. "Complete convergence with regularly varying moments and norming constants," Statistics & Probability Letters, Elsevier, vol. 223(C).
    Full references (including those not matched with items on IDEAS)

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