A note on breakdown theory for bootstrap methods
β Scribed by Feifang Hu; Jianhua Hu
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 74 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
β¦ Synopsis
Singh (1998
, Ann. Statist. 20, 1719 -1732.)
obtains a general formula for computing the breakdown point for the qth bootstrap quantile of a statistic Tn. Here we study the break-down points for the qth quantile of some second-order accurate bootstrap methods. The breakdown point has to be computed case by case when these bootstrap methods are used. Some simulation results are also reported.
π SIMILAR VOLUMES
It is shown that the bootstrap approximation of the standardized sample mean for the operator introduced by Trotter improves the normal approximation. c 1993 Academic Press, Inc.
## Abstract Let __r(k__) denote the least integer __n__βsuch that for any graph __G__ on __n__ vertices either __G__ or its complement G contains a complete graph __K__~k~ on __k__ vertices. in this paper, we prove the following lower bound for the Ramsey number __r(k__) by explicit construction: _