A slippage problem for normal distributions is formulated as a multiple decision problem, and a solution is obtained which has certain optimum properties. The discussion is confined to the fixed sample case with the same number of observations from each distribution, and the normal distributions involved are assumed to have a common but unknown variance.
"An Optimum Solution to the $k$-Sample Slippage Problem for the Normal Distribution." Ann. Math. Statist. 23 (4) 610 - 616, December, 1952. https://doi.org/10.1214/aoms/1177729340