Journal of Inequalities and Applications (Mar 2021)

Complete convergence for weighted sums of widely orthant-dependent random variables

  • Pingyan Chen,
  • Soo Hak Sung

DOI
https://doi.org/10.1186/s13660-021-02574-2
Journal volume & issue
Vol. 2021, no. 1
pp. 1 – 16

Abstract

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Abstract The complete convergence results for weighted sums of widely orthant-dependent random variables are obtained. A strong law of large numbers for weighted sums of widely orthant-dependent random variables is also obtained. Our results extend and generalize some results of Chen and Sung (J. Inequal. Appl. 2018:121, 2018), Zhang et al. (J. Math. Inequal. 12:1063–1074, 2018), Chen and Sung (Stat. Probab. Lett. 154:108544, 2019), Lang et al. (Rev. Mat. Complut., 2020, https://doi.org/10.1007/s13163-020-00369-5 ), and Liang (Stat. Probab. Lett. 48:317–325, 2000).

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