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On the (p,q)$(p,q)$‐type strong law of large numbers for sequences of independent random variables

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  • Lê Vǎn Thành

Abstract

Li, Qi, and Rosalsky (Trans. Amer. Math. Soc., 368 (2016), no. 1, 539–561) introduced a refinement of the Marcinkiewicz–Zygmund strong law of large numbers (SLLN), the so‐called (p,q)$(p,q)$‐type SLLN, where 0 0$q>0$. They obtained sets of necessary and sufficient conditions for this new type SLLN for two cases: 0 p$q>p$, and 1≤p

Suggested Citation

  • Lê Vǎn Thành, 2023. "On the (p,q)$(p,q)$‐type strong law of large numbers for sequences of independent random variables," Mathematische Nachrichten, Wiley Blackwell, vol. 296(1), pages 402-423, January.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:1:p:402-423
    DOI: 10.1002/mana.202000447
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    References listed on IDEAS

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    1. Florian Hechner & Bernard Heinkel, 2010. "The Marcinkiewicz–Zygmund LLN in Banach Spaces: A Generalized Martingale Approach," Journal of Theoretical Probability, Springer, vol. 23(2), pages 509-522, June.
    2. Deli Li & Yongcheng Qi & Andrew Rosalsky, 2011. "A Refinement of the Kolmogorov–Marcinkiewicz–Zygmund Strong Law of Large Numbers," Journal of Theoretical Probability, Springer, vol. 24(4), pages 1130-1156, December.
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