On the absolute constant in the estimates of the rate of convergence in the central limit theorem in the absence of moments of order higher than the second

Authors

  • A.V. Dorofeeva
  • V.Yu. Korolev

Keywords:

central limit theorem, estimate of the rate of convergence, absolute constant

Abstract

Specified upper bounds of the absolute constant in the estimate of the rate of convergence in the central limit theorem in terms of truncated moments. It is shown that the absolute constant in the inequality Osipov-Feller does not exceed 1,8627.

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Published

2015-06-29

How to Cite

Dorofeeva, A., & Korolev, V. (2015). On the absolute constant in the estimates of the rate of convergence in the central limit theorem in the absence of moments of order higher than the second. Bulletin of the Karaganda University. Mathematics Series, 78(2), 48–55. Retrieved from http://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/23

Issue

2015 (78) 2

Section

MATHEMATICS