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.
Documento: | Artículo |
Título: | Locatton Estimators Based On Linear Combinations Of Modified Order Statistics |
Autor: | Yohai, V.J.; Maronna, R.A. |
Filiación: | Facultad de Ciencias Exactas U.N.B.A, Buencs Aires, Instituto de Informatica Hidria, Buenos Aires, Argentina |
Palabras clave: | asymptotic theory; robustness |
Año: | 1976 |
Volumen: | 5 |
Número: | 5 |
Página de inicio: | 481 |
Página de fin: | 486 |
DOI: | http://dx.doi.org/10.1080/03610927608827368 |
Título revista: | Communications in Statistics - Theory and Methods |
Título revista abreviado: | Commun Stat Theory Methods |
ISSN: | 03610926 |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03610926_v5_n5_p481_Yohai |