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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Detalles Bibliográficos
Autor principal: Yohai, V.J
Otros Autores: Maronna, R.A
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 1976
Acceso en línea:Registro en Scopus
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Registro en la Biblioteca Digital
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100 1 |a Yohai, V.J. 
245 1 0 |a Locatton Estimators Based On Linear Combinations Of Modified Order Statistics 
260 |c 1976 
506 |2 openaire  |e Política editorial 
504 |a Bickel, P., One-step Huber estimates in the linear model. (1975) J. Amer. Statist. Assoc., 70, pp. 428-434 
504 |a Gnanadesikan, R., Kettenring, J.R., Robust estimates, re siduals, and outlier rejection with multiresponse data. (1972) Biarcit, 28, pp. 81-124 
504 |a Hajek, J., Sidak, Z., (1967) Theory of Rank Tests., , New York: Academic Press 
504 |a Huber, P., Robust estimation of a location parameter. (1964) Ann.’ Statist., 35, pp. 73-101 
504 |a Jureckova, J., Asymptotic linearity’ of a rank statistic in gression parameters. (1969) Ann. Math. Statist., 40, pp. 1889-1900 
504 |a 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 
520 3 |a 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.  |l eng 
593 |a Facultad de Ciencias Exactas U.N.B.A, Buencs Aires, Instituto de Informatica Hidria, Buenos Aires, Argentina 
690 1 0 |a ASYMPTOTIC THEORY 
690 1 0 |a ROBUSTNESS 
700 1 |a Maronna, R.A. 
773 0 |d 1976  |g v. 5  |h pp. 481-486  |k n. 5  |p Commun Stat Theory Methods  |x 03610926  |w (AR-BaUEN)CENRE-84  |t Communications in Statistics - Theory and Methods 
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