Nonparametric Statistics-Robust estimates and related procedures

Recall the so-called Hodges-Lehmann location estimator HIn = median Xi+ Xil 2 where X1, . .., Xn is a random sample from F which has a density f symmetric about an unknown point 0. Let X = Zi=1 X,. (a). Assume f is Laplace; that is, the density f satisfies f (x) = de-x-01/2, -00