Geodesic
On a complete moment convergence in precise asymptotics
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 33, Tome 515 (2022), pp. 180-188

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Liu and Lin (Statist. Probab. Lett. 2006) introduced a kind of complete moment convergence which includes the traditional one as a special case. We continue these investigations to make them somewhat more general and sharp. 
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     author = {L. V. Rozovsky},
     title = {On a complete moment convergence in precise asymptotics},
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L. V. Rozovsky. On a complete moment convergence in precise asymptotics. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 33, Tome 515 (2022), pp. 180-188. http://geodesic.mathdoc.fr/item/ZNSL_2022_515_a11/