Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (4): 585-589.

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Some Convergence Results for Arbitrary Sequences under Moment Condition

  

  1. School of Mathematical Science, Anhui University

  • Received:2009-09-05 Online:2011-12-30 Published:2023-04-14
  • About author:WANG Xue-jun(1981-), male, native of Hefei, Anhui, Ph.D., engages in probability limit theorem.
  • Supported by:
    Supported by the National Natural Science Foundation of China(10871001); Supported by the Provincial Natural Science Research Project of Anhui Colleges(KJ2010A005); Supported by the Talents Youth Fund of Anhui Province Universities(2010SQRL016ZD); Supported by the Youth Science Research Fund of Anhui University(2009QN011A);

Abstract: Let {Xn, n ≥ 1} be an arbitrary sequence of random variables. Some convergence results for the partial sums of arbitrary sequence of random variables are obtained, which generalize the known results for independent sequences, NA sequences, ρ-mixing sequences and φ-mixing sequences, and so on.

Key words: strong law of large numbers, NA sequences, ρ-mixing sequences, mixing sequences

CLC Number: