Complete f-moment convergence for randomly weighted sums of extended negatively dependent random variables

Abstract

In this article, some results on the complete f-moment convergence for randomly weighted sums of extended negatively dependent (END, for short) random variables are established. The results extend the results of Xu and Yan (2021) from complete moment convergence to complete f-moment convergence for randomly weighted sums of END random variables.

Keywords:

• Complete f-moment convergence
• randomly weighted sums
• extended negatively dependent random variables

Mathematical Subject Classification::

• 60F15

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Supported by the National Natural Science Foundation of China (12301181), the outstanding top-notch talent cultivation project of Anhui Province (gxgnfx2022073, gxbjZD2021078), the Natural Science Research Project of An Hui Province (KJ2021A1095, KJ2020B03, 2022AH040248).