Geodesic
The theorems about stochastic integral distributions convergence to signed measures and the local limit theorems for large deviations
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 15, Tome 368 (2009), pp. 201-228 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study properties of symmetric stable measures with index $\alpha>2$, $\alpha\neq2m$, $m\in\mathbb N$. Such measures are signed ones and hence they are not probability measures. For this class of measures we construct an analogue of the Lévy–Khinchin representation. We show that in some sense these signed measures are limit measures for sums of independent random variables. Bibl. – 11 titles. 
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N. V. Smorodina; M. M. Faddeev. The theorems about stochastic integral distributions convergence to signed measures and the local limit theorems for large deviations. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 15, Tome 368 (2009), pp. 201-228. http://geodesic.mathdoc.fr/item/ZNSL_2009_368_a15/

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