An $L$-estimator is a form of linear function of order statistics. Xiang  investigated the bias of this estimator. In this investigation, we derive a formula for the mean square error of the smooth $L$-estimator.
"On the Mean Square Error of Smooth $L$-Estimator." Missouri J. Math. Sci. 32 (2) 121 - 127, November 2020. https://doi.org/10.35834/2020/3202121