The Bahadur representation for sample quantile under NOD sequence

摘要

In this paper, we investigate the Bahadur representation of sample quantile based on negatively orthant dependent sequence, which is weaker than negatively associated sequence. Our results extend and improve the results of Ling [(2008), 'The Bahadur Representation for Sample Quantiles Under Negatively Associated Sequence', Statistics & Probability Letters, 78, 2660-2663].