On probabilities of large deviations of combinatorial sums of independent random variables satisfying Linnik’s condition
DOI:
https://doi.org/10.21638/spbu01.2023.308Abstract
We derive new results on asymptotic behaviour for probabilities of large deviations of combinatorial sums of independent random variables satisfying Linnik’s condition. We find zones in which these probabilities are equivalent to the tail of the standard normal law. The author earlier obtained such results under Bernstein’s condition. The truncations method is applied in proofs of results.
Keywords:
probabilities of large deviations, combinatorial central limit theorem, combinatorial sums
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Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.