Journal of Jilin University Science Edition ›› 2022, Vol. 60 ›› Issue (4): 866-872.

Previous Articles     Next Articles

Complete Moment Convergence for CAANA Sequences in Hilbert Spaces

FEI Dandan, FU Zongkui, LI Caijuan   

  1. School of Mathematics and Statistics, Xinyang University, Xinyang 464000, Henan Province, China
  • Received:2021-09-16 Online:2022-07-26 Published:2022-07-26

Abstract: By using the properties and the moment inequality of coordinatewise asymptotically almost negatively associated (CAANA) sequences in Hilbert space, we considered the problem of the first order moment convergence of CAANA sequences, and obtained the complete moment convergence of CAANA sequences with different distributions in Hilbert space.

Key words: Hilbert space, coordinatewise asymptotically almost negatively associated (CAANA) sequence, complete moment convergence

CLC Number: 

  • O211.4