AN EXTENDED CONTINUOUS MAPPING THEOREM FOR OUTER ALMOST SURE WEAK CONVERGENCE
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | AN EXTENDED CONTINUOUS MAPPING THEOREM FOR OUTER ALMOST SURE WEAK CONVERGENCE |
| Type de publication | Journal Article |
| Year of Publication | 2019 |
| Auteurs | Varron D. |
| Journal | THEORY OF PROBABILITY AND ITS APPLICATIONS |
| Volume | 64 |
| Pagination | 304-323 |
| Type of Article | Article |
| ISSN | 0040-585X |
| Mots-clés | Bootstrap, empirical measure, limit theorems |
| Résumé | We prove an extended continuous mapping theorem for outer almost sure weak convergence in a metric space, a notion that is used in bootstrap empirical processes theory. Then we make use of those results to establish the consistency of several bootstrap procedures in empirical likelihood theory for functional parameters. |
| DOI | 10.1137/S0040585X97T989507 |