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On large deviations for sums of random vectors in Rk

Author

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  • Osipov, L. V.

Abstract

The paper deals with limit theorems for probabilities of large deviations for sums of independent identically distributed random vectors. We give more detailed bounds for the remainder in von Bahr's limit theorem. New asymptotic formulas for probabilities of large deviations on the outside of balls are established.

Suggested Citation

  • Osipov, L. V., 1981. "On large deviations for sums of random vectors in Rk," Journal of Multivariate Analysis, Elsevier, vol. 11(2), pages 115-126, June.
    • Handle: RePEc:eee:jmvana:v:11:y:1981:i:2:p:115-126
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    Cited by:

    1. Lorenzo Camponovo & Taisuke Otsu, 2017. "Relative error accurate statistic based on nonparametric likelihood," STICERD - Econometrics Paper Series 593, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    2. Inga Samonenko & John Robinson, 2017. "A likelihood ratio like permutation test for one way designs," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 29(3), pages 515-530, July.

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