Location estimators based on linear combinations of modified order statistics |
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Authors: | Victor J. Yohai Ricardo A. Maronna |
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Affiliation: | Facultad de Clencias Exactas U.N.B.A , Buenos Aires |
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Abstract: | Let Xj,…, X be i.i.d random variables with common distribution function F(x-0), and let a(u) be a function defined on [0,1], For each t$$$R define the t-order statistics as: X. (t) = X. if there in k exist exactly (i- 1) X. !s such that |X.-t|greater|X.-t| and define the variable T (t) = n 2. , a(i/n) X, (t) . We consider estimates of 8 defined as solutions of the eauaticn T (8) =6 , and |
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