Large deviations for analytically known distributions

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nonconvex domains of large deviation sharp integral and local limit theorems non-equivalence of norms under large deviations Laplace method geometric approach asmptotic expansions for large deviations increasing dimensions finite dimensional approach to large deviations in l_p Osipov condition generalized Khintchine problem estimations for Gaussian measures of shells of boundaries of not necessary convex sets (remainder term estimation in the c.l.t.) Hilbert space estimates generalized noncentral chi-square distribution asymptotically degenerating dominating points

References:

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