| Article ID: | iaor2004870 |
| Country: | United States |
| Volume: | 21 |
| Issue: | 3/4 |
| Start Page Number: | 359 |
| End Page Number: | 382 |
| Publication Date: | Jan 2001 |
| Journal: | American Journal of Mathematical and Management Sciences |
| Authors: | Smith Wendy D., Taylor Robert L. |
| Keywords: | bootstrap |
Consistency of dependent bootstrap estimators is established in this paper. The major tool will be the concept of negative dependence which results from resampling without replacement from an enriched set of sample observations. In particular, strong limit theorems for arrays of rowwise negatively dependent random variables are obtained and used to obtain the consistency for the dependent bootstrap mean, variance and empirical distribution function.