Geodesic
On semiparametric inference in moderate deviation zone
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 12, Tome 351 (2007), pp. 129-140

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In [11], we show that Hajek–Le Cam lower bound for asymptotic efficiency in estimation and lower bound for Pitman efficiency in hypothesis testing can be extended on moderate deviation zone if weak additional assumptions hold. In this paper, we present a version of these results in the semiparametric form. 
@article{ZNSL_2007_351_a6,
     author = {M. S. Ermakov},
     title = {On semiparametric inference in moderate deviation zone},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {129--140},
     publisher = {mathdoc},
     volume = {351},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_351_a6/}
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M. S. Ermakov. On semiparametric inference in moderate deviation zone. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 12, Tome 351 (2007), pp. 129-140. http://geodesic.mathdoc.fr/item/ZNSL_2007_351_a6/