On Complete Moment Convergence for Randomly Weighted Sums of NSD Random Variables

Authors

  • Xiang Sun School of Mathematical Science, Anhui University, Hefei 230031, P. R. China
  • Zhao-Yang Liu
  • Yan Shen School of Mathematical Science, Anhui University, Hefei 230039, P.R.China
  • Ke-Chao Zhang

DOI:

https://doi.org/10.4208/jms.v52n1.19.03

Keywords:

Complete moment convergence, randomly weighted, negatively superadditive dependent random variables.

Abstract

In this paper, we investigate the complete moment convergence and complete convergence for randomly weighted sums of negatively superadditive dependent (NSD, in short) random variables. The results obtained in the paper generalize the convergence theorem for constant weighted sums to randomly weighted sums of dependent random variables. In addition, strong law of large numbers for NSD sequence is obtained.

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Published

2019-03-06

Issue

Vol. 52 No. 1 (2019)

Section

Articles