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.
| 出版年: | International Journal of Mathematics and Mathematical Sciences |
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| 主要な著者: | , , |
| フォーマット: | 論文 |
| 言語: | 英語 |
| 出版事項: |
Wiley
2001-01-01
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| オンライン･アクセス: | http://dx.doi.org/10.1155/S0161171201005191 |
| 要約: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |