Geodesic
A theorem on the probabilities of large deviations for decomposable statistics that do not satisfy Cram\'er's condition
Diskretnaya Matematika, Tome 17 (2005) no. 2, pp. 87-94

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We find the asymptotic behaviour of probabilities of large deviations of symmetric decomposable statistics in the context of the generalised allocation scheme where the Cramér condition is broken. We consider the case of the so-called small samples. 
@article{DM_2005_17_2_a5,
     author = {A. V. Kolodzei},
     title = {A theorem on the probabilities of large deviations for decomposable statistics that do not satisfy {Cram\'er's} condition},
     journal = {Diskretnaya Matematika},
     pages = {87--94},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2005_17_2_a5/}
}
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A. V. Kolodzei. A theorem on the probabilities of large deviations for decomposable statistics that do not satisfy Cram\'er's condition. Diskretnaya Matematika, Tome 17 (2005) no. 2, pp. 87-94. http://geodesic.mathdoc.fr/item/DM_2005_17_2_a5/