The problem of estimating an endpoint of a distribution is revisited, using the bootstrap and random subsample methods. Contrary to an example in Bickel and Freedman (1981) suggesting that these methods do not work here, it is shown that one can in fact construct asymptotically valid confidence intervals in some situations.
"Estimating an Endpoint of a Distribution with Resampling Methods." Ann. Statist. 12 (4) 1543 - 1550, December, 1984. https://doi.org/10.1214/aos/1176346811