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Complete convergence and complete moment convergence for widely orthant-dependent random variables

Author

Listed:
  • Yang Ding
  • Yi Wu
  • Songlin Ma
  • Xinran Tao
  • Xuejun Wang

Abstract

In this paper, we first establish the complete convergence for weighted sums of widely orthant-dependent (WOD, in short) random variables by using the Rosenthal type maximal inequality. Based on the complete convergence, we further study the complete moment convergence for weighted sums of arrays of rowwise WOD random variables which is stochastically dominated by a random variable X. The results obtained in the paper generalize the corresponding ones for some dependent random variables.

Suggested Citation

  • Yang Ding & Yi Wu & Songlin Ma & Xinran Tao & Xuejun Wang, 2017. "Complete convergence and complete moment convergence for widely orthant-dependent random variables," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(16), pages 8278-8294, August.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:16:p:8278-8294
    DOI: 10.1080/03610926.2016.1177085
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    Cited by:

    1. Chang, Mengmeng & Miao, Yu, 2023. "Generalized weak laws of large numbers in Hilbert spaces," Statistics & Probability Letters, Elsevier, vol. 197(C).

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