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Abstract:

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.

Registro:

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

Referencias:

  • Bickel, P., One-step Huber estimates in the linear model. (1975) J. Amer. Statist. Assoc., 70, pp. 428-434
  • Gnanadesikan, R., Kettenring, J.R., Robust estimates, re siduals, and outlier rejection with multiresponse data. (1972) Biarcit, 28, pp. 81-124
  • Hajek, J., Sidak, Z., (1967) Theory of Rank Tests., , New York: Academic Press
  • Huber, P., Robust estimation of a location parameter. (1964) Ann.’ Statist., 35, pp. 73-101
  • Jureckova, J., Asymptotic linearity’ of a rank statistic in gression parameters. (1969) Ann. Math. Statist., 40, pp. 1889-1900
  • Yohai, V., Maronna, R., (1975), Location estimators based on lin-ar combinations of modified order statistics. Notas de Materraticn Na 31, Depto de Mat. Fac. C. Exactas, U. N. de La Plata

Citas:

---------- APA ----------
Yohai, V.J. & Maronna, R.A. (1976) . Locatton Estimators Based On Linear Combinations Of Modified Order Statistics. Communications in Statistics - Theory and Methods, 5(5), 481-486.
http://dx.doi.org/10.1080/03610927608827368
---------- CHICAGO ----------
Yohai, V.J., Maronna, R.A. "Locatton Estimators Based On Linear Combinations Of Modified Order Statistics" . Communications in Statistics - Theory and Methods 5, no. 5 (1976) : 481-486.
http://dx.doi.org/10.1080/03610927608827368
---------- MLA ----------
Yohai, V.J., Maronna, R.A. "Locatton Estimators Based On Linear Combinations Of Modified Order Statistics" . Communications in Statistics - Theory and Methods, vol. 5, no. 5, 1976, pp. 481-486.
http://dx.doi.org/10.1080/03610927608827368
---------- VANCOUVER ----------
Yohai, V.J., Maronna, R.A. Locatton Estimators Based On Linear Combinations Of Modified Order Statistics. Commun Stat Theory Methods. 1976;5(5):481-486.
http://dx.doi.org/10.1080/03610927608827368