Question: For each ???? let c(????) the minimum c such that #{i ???? xi c yi ???? xi + c} n2.

For each ???? let c(????) the minimum c such that

#{i ∶ ????′

xi − c ≤ yi ≤ ????′

xi + c} ≥ n∕2.

Show that the LMS estimator minimizes c(????).

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