Email this article An Estimate of the Absolute Constant in the Inequality for the Uniform Distance Between the Distributions of Sequential Sums of Independent Random Variables
- Authors: Maistrenko E.L.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 229, No 6 (2018)
- Pages: 741-743
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240546
- DOI: https://doi.org/10.1007/s10958-018-3713-4
- ID: 240546
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Abstract
Some of known inequalities for the uniform distance between distributions of sequential sums of independent identically distributed random variables are considered. In the case where the distribution F has 0 as the q-quantile, an upper bound for the absolute constant in the inequality is given.
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About the authors
E. L. Maistrenko
St. Petersburg State University
Author for correspondence.
Email: glmeist@gmail.com
Russian Federation, St. Petersburg
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