Poissonization Inequalities for Sums of Independent Random Variables in Banach Spaces with Applications to Empirical Processes Full article
| Journal |
Mathematics
, E-ISSN: 2227-7390 |
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| Output data | Year: 2024, Volume: 12, Number: 18, Article number : 2803, Pages count : 20 DOI: 10.3390/math12182803 | ||
| Tags | sums of independent random variables; moment inequalities; accompanying infinitely divisible law; convex function; empirical process | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2024-0001 |
Abstract:
Inequalities are obtained which connect the probability tails and moments of functions of the nth partial sums of independent random variables taking values in a separable Banach space and those for the accompanying infinitely divisible laws. Some applications to empirical processes are studied
Cite:
Borisov I.
Poissonization Inequalities for Sums of Independent Random Variables in Banach Spaces with Applications to Empirical Processes
Mathematics. 2024. V.12. N18. 2803 :1-20. DOI: 10.3390/math12182803 WOS Scopus РИНЦ OpenAlex
Poissonization Inequalities for Sums of Independent Random Variables in Banach Spaces with Applications to Empirical Processes
Mathematics. 2024. V.12. N18. 2803 :1-20. DOI: 10.3390/math12182803 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Jul 27, 2024 |
| Accepted: | Sep 4, 2024 |
| Published print: | Sep 10, 2024 |
| Published online: | Sep 10, 2024 |
Identifiers:
| Web of science: | WOS:001322885100001 |
| Scopus: | 2-s2.0-85205108892 |
| Elibrary: | 74403373 |
| OpenAlex: | W4402448286 |
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