Asymptotic normality for U-statistics of negatively associated random variables

• DOI: 10.1016/j.spl.2005.12.014
• Publication Date: 2005-12-30T07:08:01Z
• Authors: Wei Huang; Lin-Xi Zhang
• Keywords: 0101 mathematics; 01 natural sciences

Abstract Let { X n ; n ⩾ 0 } be a sequence of negatively associated random variables and U n be a U -statistic based on this sample. We establish a central limit theorem for U n when the U -statistic is degenerate or non-degenerate.