Geodesic
Rough large deviations probability asymptotics of some functionals of the norm kind
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 2, Tome 244 (1997), pp. 238-256

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This paper contains some results describing rough large deviations probability asymptotics of the norm type functionals of empirical processes. This gives the opportunity to find exact Bahadur slopes which permit to compare different nonparametric tests using asymptotic relative efficiencies. 
@article{ZNSL_1997_244_a16,
     author = {O. A. Podkorytova},
     title = {Rough large deviations probability asymptotics of some functionals of the norm kind},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {238--256},
     publisher = {mathdoc},
     volume = {244},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_244_a16/}
}
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O. A. Podkorytova. Rough large deviations probability asymptotics of some functionals of the norm kind. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 2, Tome 244 (1997), pp. 238-256. http://geodesic.mathdoc.fr/item/ZNSL_1997_244_a16/