Geodesic
On the uniform condition of local asymptotic normality
Zapiski Nauchnykh Seminarov POMI, Studies in the statistical estimation theory. Part I, Tome 74 (1977), pp. 108-117

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Ihere are given necessary and sufficien conditions for the uniform local asymptotic normality of experimenty defined by independent identically distributed variables. 
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     author = {I. A. Ibragimov and R. Z. Khas'minskii},
     title = {On the uniform condition of local asymptotic normality},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {108--117},
     publisher = {mathdoc},
     volume = {74},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_74_a3/}
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I. A. Ibragimov; R. Z. Khas'minskii. On the uniform condition of local asymptotic normality. Zapiski Nauchnykh Seminarov POMI, Studies in the statistical estimation theory. Part I, Tome 74 (1977), pp. 108-117. http://geodesic.mathdoc.fr/item/ZNSL_1977_74_a3/