Geodesic
Large deviations for sample quantiles
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VI, Tome 97 (1980), pp. 144-150

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Some theorems are obtained for probabilities of large devistions for uniform order statistics. 
@article{ZNSL_1980_97_a13,
     author = {V. B. Nevzorov},
     title = {Large deviations for sample quantiles},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {144--150},
     publisher = {mathdoc},
     volume = {97},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1980_97_a13/}
}
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V. B. Nevzorov. Large deviations for sample quantiles. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VI, Tome 97 (1980), pp. 144-150. http://geodesic.mathdoc.fr/item/ZNSL_1980_97_a13/