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Complete convergence for weighted sums of extended negatively dependent random variables

Author

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  • Aiting Shen
  • Mingxiang Xue
  • Wenjuan Wang

Abstract

In this article, the complete convergence for weighted sums of extended negatively dependent (END, in short) random variables without identical distribution is investigated. In addition, the complete moment convergence for weighted sums of END random variables is also obtained. As an application, the Baum–Katz type result for END random variables is established. The results obtained in the article extend the corresponding ones for independent random variables and some dependent random variables.

Suggested Citation

  • Aiting Shen & Mingxiang Xue & Wenjuan Wang, 2017. "Complete convergence for weighted sums of extended negatively dependent random variables," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(3), pages 1433-1444, February.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:3:p:1433-1444
    DOI: 10.1080/03610926.2015.1019147
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    Cited by:

    1. Kuczmaszewska, Anna & Yan, Ji Gao, 2018. "On complete convergence in Marcinkiewicz-Zygmund type SLLN for random variables," IRTG 1792 Discussion Papers 2018-041, Humboldt University of Berlin, International Research Training Group 1792 "High Dimensional Nonstationary Time Series".
    2. Yan Wang & Xuejun Wang, 2021. "Complete f-moment convergence for Sung’s type weighted sums and its application to the EV regression models," Statistical Papers, Springer, vol. 62(2), pages 769-793, April.
    3. Yan, Ji Gao, 2018. "On Complete Convergence in Marcinkiewicz-Zygmund Type SLLN for END Random Variables and its Applications," IRTG 1792 Discussion Papers 2018-042, Humboldt University of Berlin, International Research Training Group 1792 "High Dimensional Nonstationary Time Series".

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