Asymptotic Pitman efficiencies of multivariate spatial sign and rank methods are considered in the one-sample location case. Limiting distributions of the spatial sign and signed-rank tests under the null hypothesis as well as under contiguous sequences of alternatives are given. Formulae for asymptotic relative efficiencies are found and, under multivariate t distributions, relative efficiencies with respect to Hotelling's $T^2$ test are calculated.
"On the efficiency of multivariate spatial sign and rank tests." Ann. Statist. 25 (2) 542 - 552, April 1997. https://doi.org/10.1214/aos/1031833663