In the example you link to, the example does not estimate the mean of a uniform distribution but rather its maximum – U(0, max). A maximum is like a quantile. O

In the example you link to, the example does not estimate the mean of a uniform distribution but rather its maximum – U(0, max). A maximum is like a quantile. One of the very few shortcomings of bootstrapping in realistic scenarios is that it does not always do well with generating confidence intervals around quantiles. And still scientists can go an entire lifetime without ever feeling the need to estimate the maximum of a uniform distribution. The only famous example of this distribution in the context of actual science is the German tank problem: https://en.wikipedia.org/wiki/German_tank_problem https://en.wikipedia.org/wiki/German_tank_problem