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The Marcinkiewicz–Zygmund-Type Strong Law of Large Numbers with General Normalizing Sequences

Author

Listed:
  • Vu T. N. Anh

    (Hoa Lu University)

  • Nguyen T. T. Hien

    (Vinh University)

  • Le V. Thanh

    (Vinh University)

  • Vo T. H. Van

    (Vinh University)

Abstract

This paper establishes complete convergence for weighted sums and the Marcinkiewicz–Zygmund-type strong law of large numbers for sequences of negatively associated and identically distributed random variables $$\{X,X_n,n\ge 1\}$$ { X , X n , n ≥ 1 } with general normalizing constants under a moment condition that $$ER(X)

Suggested Citation

  • Vu T. N. Anh & Nguyen T. T. Hien & Le V. Thanh & Vo T. H. Van, 2021. "The Marcinkiewicz–Zygmund-Type Strong Law of Large Numbers with General Normalizing Sequences," Journal of Theoretical Probability, Springer, vol. 34(1), pages 331-348, March.
    • Handle: RePEc:spr:jotpro:v:34:y:2021:i:1:d:10.1007_s10959-019-00973-2
    DOI: 10.1007/s10959-019-00973-2
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    References listed on IDEAS

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