Geodesic
Limit theorems for sample quantiles of associated random sequences
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 721-734.

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The Bahadur representation of the empirical distribution function for associated strictly stationary random sequence is considered. It is used for proving asymptotic normality of sample quantile, the functional central theorem and the functional law of the iterated logarithm for sample quantile. 
@article{FPM_2001_7_3_a7,
     author = {S. V. Ekisheva},
     title = {Limit theorems for sample quantiles of associated random sequences},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {721--734},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a7/}
}
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S. V. Ekisheva. Limit theorems for sample quantiles of associated random sequences. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 721-734. http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a7/