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

Lê Vǎn Thành

Mathematische Nachrichten, 2023, vol. 296, issue 1, 402-423

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

Date: 2023
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