A Distribution-Free Upper Confidence Bound for $\Pr \{Y < X\}$, Based on Independent Samples of $X$ and $Y$
- 1 June 1958
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Mathematical Statistics
- Vol. 29 (2), 558-562
- https://doi.org/10.1214/aoms/1177706631
Abstract
A solution for the problem of obtaining a distribution-free one-sided confidence interval for $p = Pr {Y < X}$ has been proposed in [1]. At present a numerical procedure is given for computing the sample sizes needed for such a confidence interval with given width and confidence level.