Not logged in.
Quick Search - Contribution
Contribution Details
| Type | Journal Article |
| Scope | Discipline-based scholarship |
| Title | Quantile Estimation with Adaptive Importance Sampling |
| Organization Unit | |
| Authors |
|
| Item Subtype | Original Work |
| Refereed | Yes |
| Status | Published in final form |
| Language |
|
| Journal Title | Annals of Statistics |
| Publisher | Institute of Mathematical Statistics |
| Geographical Reach | international |
| ISSN | 0090-5364 |
| Volume | 38 |
| Number | 2 |
| Page Range | 1244 - 1278 |
| Date | 2010 |
| Abstract Text | We introduce new quantile estimators with adaptive importance sampling. The adaptive estimators are based on weighted samples that are neither independent nor identically distributed. Using a new law of iterated logarithm for martingales, we prove the convergence of the adaptive quantile estimators for general distributions with nonunique quantiles, thereby extending the work of Feldman and Tucker. We illustrate the algorithm with an example from credit portfolio risk analysis. |
| Digital Object Identifier | 10.1214/09-AOS745 |
| Other Identification Number | merlin-id:450 |
| PDF File |
Download from ZORA
|
| Export |
BibTeX
EP3 XML (ZORA)
|