Berry–Esséen bound of sample quantiles for φ-mixing random variables

In this paper, the Berry–Esséen bound of sample quantiles for φ-mixing random variables is investigated under some weak conditions, for example, the condition of mixing coefficients only needs that φ(n)=O(n−β) for some β⩾13/6. The rate of normal approximation is shown as O(n−1/9).