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Convergence rates in the limit theorems for random sums of m-orthogonal random variables

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  • Quang, Nguyen Van
  • Huan, Nguyen Van
  • Kien, Phan Tri

Abstract

In the paper, upper bounds for the convergence rate in the limit theorems for random sums of m-orthogonal random variables are estimated using the K-functional method. Our results are extensions of some known results related to random sums.

Suggested Citation

  • Quang, Nguyen Van & Huan, Nguyen Van & Kien, Phan Tri, 2025. "Convergence rates in the limit theorems for random sums of m-orthogonal random variables," Statistics & Probability Letters, Elsevier, vol. 216(C).
    • Handle: RePEc:eee:stapro:v:216:y:2025:i:c:s0167715224002177
    DOI: 10.1016/j.spl.2024.110248
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    References listed on IDEAS

    as
    1. Korolev, Victor & Zeifman, Alexander, 2021. "Bounds for convergence rate in laws of large numbers for mixed Poisson random sums," Statistics & Probability Letters, Elsevier, vol. 168(C).
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