Locatton Estimators Based On Linear Combinations Of Modified Order Statistics
Let X1.,., Xn be i.i.d. random variables with common distribution function F(x- 9 ) 5 and let a(u) be a function defined on [0,1], For each t⋲R define the t-order statistics as: Xin (t)= Xk if there in exist exactly (i- 1) Xj ‘s such that | Xj-t|<|Xk-t| and define the variable T (t) = n 2. a(...
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| Autores principales: | , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_03610926_v5_n5_p481_Yohai |
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| Sumario: | Let X1.,., Xn be i.i.d. random variables with common distribution function F(x- 9 ) 5 and let a(u) be a function defined on [0,1], For each t⋲R define the t-order statistics as: Xin (t)= Xk if there in exist exactly (i- 1) Xj ‘s such that | Xj-t|<|Xk-t| and define the variable T (t) = n 2. a(i/n) Xin(t). We consider estimates n i = 1 in of 9 defined as solutions of the equation T(0) = 6, and Tone-step” versions T(9), where 6 is an initial estimate. We find the asymptotic distributions of these estimates, and study their small-sample behaviour by Monte Carlo simulation. © 1976 by Marcel Dekker, Inc. |
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