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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 2, Pages 340–357 (Mi tvp3041)  
This article is cited in 12 scientific papers (total in 12 papers)

Limit theorems for the probabilities of moderate deviations

A. D. Slastnikov

M. V. Lomonosov Moscow State University
Full-text PDF (851 kB) Citations (12)
Abstract: Some sharpenings and generalizations of results due to Rubin–Sethuraman and Amosova are proved under weaker conditions on moments.
Received: 06.10.1977
English version:
Theory of Probability and its Applications, 1979, Volume 23, Issue 2, Pages 322–340
DOI: https://doi.org/10.1137/1123035
Bibliographic databases:
Language: Russian
Citation: A. D. Slastnikov, “Limit theorems for the probabilities of moderate deviations”, Teor. Veroyatnost. i Primenen., 23:2 (1978), 340–357; Theory Probab. Appl., 23:2 (1979), 322–340
Citation in format AMSBIB
\Bibitem{Sla78}
\by A.~D.~Slastnikov
\paper Limit theorems for the probabilities of moderate deviations
\jour Teor. Veroyatnost. i Primenen.
\yr 1978
\vol 23
\issue 2
\pages 340--357
\mathnet{http://mi.mathnet.ru/tvp3041}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=488238}
\zmath{https://zbmath.org/?q=an:0452.60041|0405.60032}
\transl
\jour Theory Probab. Appl.
\yr 1979
\vol 23
\issue 2
\pages 322--340
\crossref{https://doi.org/10.1137/1123035}
Linking options:
  • https://www.mathnet.ru/eng/tvp3041
  • https://www.mathnet.ru/eng/tvp/v23/i2/p340
    • This publication is cited in the following 12 articles:
    1. A. N. Frolov, “On the Asymptotic Behavior of Probabilities of Moderate Deviations for Combinatorial Sums”, Vestnik St.Petersb. Univ.Math., 56:4 (2023), 559  crossref
    2. Frolov A., “Universal Theory For Strong Limit Theorems of Probability”, Universal Theory For Strong Limit Theorems of Probability, World Scientific Publ Co Pte Ltd, 2020, 1–189  isi
    3. Frolov A., “Universal Theory For Strong Limit Theorems of Probability Preface”: Frolov, AN, Universal Theory For Strong Limit Theorems of Probability, World Scientific Publ Co Pte Ltd, 2020, VII+  isi
    4. Naser Oda Jassim, Abdul Hussein Saber Al-Mouel, PROCEEDINGS OF THE 2020 2ND INTERNATIONAL CONFERENCE ON SUSTAINABLE MANUFACTURING, MATERIALS AND TECHNOLOGIES, 2292, PROCEEDINGS OF THE 2020 2ND INTERNATIONAL CONFERENCE ON SUSTAINABLE MANUFACTURING, MATERIALS AND TECHNOLOGIES, 2020, 020002  crossref
    5. Tonguç Çaǧ{\i}n, Paulo Eduardo Oliveira, Nuria Torrado, “A moderate deviation for associated random variables”, Journal of the Korean Statistical Society, 45:2 (2016), 285  crossref
    6. Lie Wang, “TheL1penalized LAD estimator for high dimensional linear regression”, Journal of Multivariate Analysis, 120 (2013), 135  crossref
    7. Alexandre Belloni, Victor Chernozhukov, Lie Wang, “Square-Root Lasso: Pivotal Recovery of Sparse Signals via Conic Programming”, SSRN Journal, 2011  crossref
    8. V. S. Korolyuk, Yu. V. Borovskih, “Approximation of non-degenerate $U$-statistics”, Theory Probab. Appl., 30:3 (1986), 439–450  mathnet  mathnet  crossref  isi
    9. Z. Rychlik, “Nonuniform central limit bounds with applications to probabilities of deviations”, Theory Probab. Appl., 28:4 (1984), 681–687  mathnet  mathnet  crossref  isi
    10. A. D. Slastnikov, “On large deviations for the sum of nonidentically distributed random variables”, Theory Probab. Appl., 27:1 (1982), 37–48  mathnet  mathnet  crossref  isi
    11. I. A. Ibragimov, R. Z. Has'minskiǐ, “Bounds for the risks of nonparametric estimates of the regression”, Theory Probab. Appl., 27:1 (1982), 84–99  mathnet  mathnet  crossref  isi
    12. L. V. Rozovskiǐ, “On limit theorems on large deviations in narrow zones”, Theory Probab. Appl., 26:4 (1982), 834–845  mathnet  mathnet  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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