Geodesic
On moderate deviation probabilities of empirical probability measures for contiguous probability measures
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 24, Tome 454 (2016), pp. 112-120

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We study moderate deviation probabilities of empirical measures for contiguous distributions and prove large deviation principle for this setup. 
@article{ZNSL_2016_454_a5,
     author = {M. S. Ermakov},
     title = {On moderate deviation probabilities of empirical probability measures for contiguous probability measures},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {112--120},
     publisher = {mathdoc},
     volume = {454},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_454_a5/}
}
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M. S. Ermakov. On moderate deviation probabilities of empirical probability measures for contiguous probability measures. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 24, Tome 454 (2016), pp. 112-120. http://geodesic.mathdoc.fr/item/ZNSL_2016_454_a5/