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 ) .