A note on breakdown theory for bootstrap methods

Abstract Singh (1998, Ann. Statist. 20, 1719–1732.) obtains a general formula for computing the breakdown point for the q th bootstrap quantile of a statistic T n . Here we study the break-down points for the q th 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.