Mean convergence theorems and weak laws of large numbers for weighted sums of dependent random variables

作者：Wu Yongfeng; Guan Mei^*

来源：Journal of Mathematical Analysis and Applications, 2011, 377(2): 613-623.

DOI：10.1016/j.jmaa.2010.11.042

• Mean convergence
• Weak laws of large numbers
• Uniform integrability
• Negative quadrant dependent
• Linearly negative quadrant dependent

Under some conditions of uniform integrability and appropriate conditions, mean convergence theorems and weak laws of large numbers for weighted sums of dependent random variables are obtained. Our results extend and improve the results of [H.S. Sung, S. Lisawadi, A. Volodin, Weak laws of large numbers for arrays under a condition of uniform integrability, J. Korean Math. Soc. 45 (2008) 289-300] and [M. Ordonez Cabrera. A. Volodin, Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability, J. Math. Anal. Appl. 305 (2005) 644-658].

• 出版日期2011-5-15
• 单位铜陵学院; 合肥学院