Ho in outer probability (resp. almost uniformly) and the value and double consistency hold. 0 Huber (1967, Sec. 2; 1981, Sec. 2), gives a proof of consistency of approximate M-estimators under his conditions (A-I) through (A-5) on functions p(x,B), a(x) and b(B), where b(·) is a positive, continuous function on e.
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