The Bahadur representation of sample quantiles for associated sequences

06/13/2022

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by   Lahcen Douge, et al.

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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.