Journal of Mathematical Sciences

, Volume 93, Issue 3, pp 255–258 | Cite as

The necessity of the Linnik condition in a theorem on probabilities of large deviations

  • N. N. Amosova
Article
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Abstract

The question on the necessity of the Linnik condition in a theorem on probabilities of large deviations in the interval 0≤x<c(α)nα, where 0<α≤1/2 and c(α) is a certain constant, is considered. Bibliography: 2 titles.

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References

  1. 1.
    R. Rudzkis, L. Saulis, and V. Statulyavichus (Statulevičius), “A general lemma on probabilities of large derivations,”Litov. Mat. Sb.,XVIII, No. 2, 99–116 (1978).Google Scholar
  2. 2.
    L. Saulis and V. Statulyavichus (Statulevičius),Limit Theorems for Large Deviations [in Russian], Mokslas, Vilnius (1989).Google Scholar

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© Kluwer Academic/Plenum Publishers 1999

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  • N. N. Amosova

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