Abstract
Boscovich's (1757) proposal to estimate the parameters of a linear model by minimizing the sum of absolute deviations subject to the constraint that the mean residual be zero is considered. The asymptotic theory of the estimator confirms a remark of Edgeworth who called it a "remarkable hybrid" between $\mathscr{l}_1$ and $\mathscr{l}_2$ methods.
Citation
Roger Koenker. Gilbert Bassett. "On Boscovich's Estimator." Ann. Statist. 13 (4) 1625 - 1628, December, 1985. https://doi.org/10.1214/aos/1176349759
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