On the strong law for arrays and for the bootstrap mean and variance
Chung type strong laws of large numbers are obtained for arrays of rowwise independent random variables under various moment conditions. An interesting application of these results is the consistency of the bootstrap mean and variance.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000483 |
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| _version_ | 1850215790232469504 |
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| author | Tien-Chung Hu R. L. Taylor |
| author_facet | Tien-Chung Hu R. L. Taylor |
| author_sort | Tien-Chung Hu |
| collection | DOAJ |
| description | Chung type strong laws of large numbers are obtained for arrays of rowwise
independent random variables under various moment conditions. An interesting application of
these results is the consistency of the bootstrap mean and variance. |
| format | Article |
| id | doaj-art-829e57df0e924ebe93c1e4c10dbe4d1c |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-829e57df0e924ebe93c1e4c10dbe4d1c2025-08-20T02:08:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120237538210.1155/S0161171297000483On the strong law for arrays and for the bootstrap mean and varianceTien-Chung Hu0R. L. Taylor1Department of Mathematics, National Tsing Hua University, Hsinchu 30043, TaiwanDepartment of Statistics, University of Georgia, Athens, GA 30602, USAChung type strong laws of large numbers are obtained for arrays of rowwise independent random variables under various moment conditions. An interesting application of these results is the consistency of the bootstrap mean and variance.http://dx.doi.org/10.1155/S0161171297000483strong law of large numbersrowwise independentbootstrap mean and variance. |
| spellingShingle | Tien-Chung Hu R. L. Taylor On the strong law for arrays and for the bootstrap mean and variance International Journal of Mathematics and Mathematical Sciences strong law of large numbers rowwise independent bootstrap mean and variance. |
| title | On the strong law for arrays and for the bootstrap mean and variance |
| title_full | On the strong law for arrays and for the bootstrap mean and variance |
| title_fullStr | On the strong law for arrays and for the bootstrap mean and variance |
| title_full_unstemmed | On the strong law for arrays and for the bootstrap mean and variance |
| title_short | On the strong law for arrays and for the bootstrap mean and variance |
| title_sort | on the strong law for arrays and for the bootstrap mean and variance |
| topic | strong law of large numbers rowwise independent bootstrap mean and variance. |
| url | http://dx.doi.org/10.1155/S0161171297000483 |
| work_keys_str_mv | AT tienchunghu onthestronglawforarraysandforthebootstrapmeanandvariance AT rltaylor onthestronglawforarraysandforthebootstrapmeanandvariance |