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On Some Alternative Estimates for Shift in the $P$-Variate One Sample Problem
The vector of medians $\mathbf{M}_n$ and the vector of medians of averages of pairs $\mathbf{W}_n$ are investigated as competitors of the vector mean $\dot{\mathbf{X}}_n$ in estimating the location parameters in the $p$-variate one-sample problem. These estimates are found to be asymptotically normal and unbiased. Necessary and sufficient conditions for the …