On the rate of convergence of bootstrapped means in a Banach space
We establish the complete convergence for arrays of Banach space valued random elements. This result is applied to bootstrapped means of random elements to obtain their strong consistency and is derived in the spirit of Baum-Katz/Hsu-Robbins/Spitzer type convergence.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201005191 |
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| _version_ | 1832550645168603136 |
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| author | S. Ejaz Ahmed T.-C. Hu Andrei I. Volodin |
| author_facet | S. Ejaz Ahmed T.-C. Hu Andrei I. Volodin |
| author_sort | S. Ejaz Ahmed |
| collection | DOAJ |
| description | We establish the complete convergence for arrays of Banach space
valued random elements. This result is applied to bootstrapped
means of random elements to obtain their strong consistency and
is derived in the spirit of Baum-Katz/Hsu-Robbins/Spitzer type
convergence. |
| format | Article |
| id | doaj-art-9de3f3e00a514c01b771f56f89d037ee |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9de3f3e00a514c01b771f56f89d037ee2025-02-03T06:06:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01251062963510.1155/S0161171201005191On the rate of convergence of bootstrapped means in a Banach spaceS. Ejaz Ahmed0T.-C. Hu1Andrei I. Volodin2Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan S4S 0A2, CanadaDepartment of Mathematics, National Tsing Hua University, Hsinchu 300, TaiwanDepartment of Mathematics and Statistics, University of Regina, Regina, Saskatchewan S4S 0A2, CanadaWe establish the complete convergence for arrays of Banach space valued random elements. This result is applied to bootstrapped means of random elements to obtain their strong consistency and is derived in the spirit of Baum-Katz/Hsu-Robbins/Spitzer type convergence.http://dx.doi.org/10.1155/S0161171201005191 |
| spellingShingle | S. Ejaz Ahmed T.-C. Hu Andrei I. Volodin On the rate of convergence of bootstrapped means in a Banach space International Journal of Mathematics and Mathematical Sciences |
| title | On the rate of convergence of bootstrapped means in a Banach space |
| title_full | On the rate of convergence of bootstrapped means in a Banach space |
| title_fullStr | On the rate of convergence of bootstrapped means in a Banach space |
| title_full_unstemmed | On the rate of convergence of bootstrapped means in a Banach space |
| title_short | On the rate of convergence of bootstrapped means in a Banach space |
| title_sort | on the rate of convergence of bootstrapped means in a banach space |
| url | http://dx.doi.org/10.1155/S0161171201005191 |
| work_keys_str_mv | AT sejazahmed ontherateofconvergenceofbootstrappedmeansinabanachspace AT tchu ontherateofconvergenceofbootstrappedmeansinabanachspace AT andreiivolodin ontherateofconvergenceofbootstrappedmeansinabanachspace |