DONG Zhishan, YANG Xiaoyun. The Strong Law of Large Number for Negatively Associated Random Variables without Stationary Distribution[J]. Chinese Journal of Applied Probability and Statistics, 2002, 18(4): 357-362.
Citation: DONG Zhishan, YANG Xiaoyun. The Strong Law of Large Number for Negatively Associated Random Variables without Stationary Distribution[J]. Chinese Journal of Applied Probability and Statistics, 2002, 18(4): 357-362.

The Strong Law of Large Number for Negatively Associated Random Variables without Stationary Distribution

  • In this article, we prove two strong laws of large number for negatively associated random variables without stationary distribution. The proof is based on the maximal moment inequality provided by Shao. In this article, we used the conditions about arbitrary an ↑ +∞ and 1 ≤p≤ 2, q≥ 1, so we can get many other strong laws of large number for negatively associated random variables without stationary distribution by giving different an, p and q, and so the application of the theorems is more extensive.
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