Geodesic
On probabilities of large and moderate deviations for maximum likelihood estimates
Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part V, Tome 108 (1981), pp. 154-169

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Theorems on probabilities of large and moderate deviations for maximum likelihood estimates are proved and on less restrictive assumptions a “rough” asymptotics of large deviations is find in a regular case. Similar results are obtained in the case of observations in “white gaussian noise”. 
@article{ZNSL_1981_108_a10,
     author = {M. Radavicius},
     title = {On probabilities of large and moderate deviations for maximum likelihood estimates},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {154--169},
     publisher = {mathdoc},
     volume = {108},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1981_108_a10/}
}
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M. Radavicius. On probabilities of large and moderate deviations for maximum likelihood estimates. Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part V, Tome 108 (1981), pp. 154-169. http://geodesic.mathdoc.fr/item/ZNSL_1981_108_a10/