论文标题

相关序列样品分位数的巴哈杜尔表示

The Bahadur representation of sample quantiles for associated sequences

论文作者

Douge, Lahcen

论文摘要

在本文中,基于相关序列的样品分位数的巴哈杜尔表示,在协方差的多项式衰减下建立。近似速率取决于协方差衰减程度,并在协方差迅速降至0时接近独立性获得的最佳速率。

In this paper, the Bahadur representation of sample quantiles based on associated sequences is established under polynomially decaying of covariances. The rate of approximation depends on the covariances decay degree and becomes close to the optimal rate obtained under independence when the covariances decrease fastly to 0.

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