Subsamples are used to generate confidence intervals for a parameter of a linear regression model, under the assumption that the error variables are independent, continuous and symmetric about 0 in distribution.
J. A. Hartigan. "Exact Confidence Intervals in Regression Problems with Independent Symmetric Errors." Ann. Math. Statist. 41 (6) 1992 - 1998, December, 1970. https://doi.org/10.1214/aoms/1177696700