Geodesic
On lower bounds of probabilities of moderate and Cram\'er type large deviations of tests and estimators
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part 13, Tome 216 (1994), pp. 52-61

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New lower bounds for probabilities of large deviations of tests and estimators are proposed. These bounds cover the cases of moderate and Cramér type large deviations. Bibliography: 12 titles. 
@article{ZNSL_1994_216_a5,
     author = {M. S. Ermakov},
     title = {On lower bounds of probabilities of moderate and {Cram\'er} type large deviations of tests and estimators},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {52--61},
     publisher = {mathdoc},
     volume = {216},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_216_a5/}
}
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M. S. Ermakov. On lower bounds of probabilities of moderate and Cram\'er type large deviations of tests and estimators. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part 13, Tome 216 (1994), pp. 52-61. http://geodesic.mathdoc.fr/item/ZNSL_1994_216_a5/