Abstract
We consider the following linear regression model:whereare independent and identically distributed random variables, Yi, is real, Zihas values in Rm, Ui, is independent of Zi, and θ0is anm-dimensional parameter to be estimated. TheLpestimator of θ0is the value 6n such thatHere, we will give the exact Bahadur-Kiefer representation of θn, for each p ≥ 1. Explicitly, we will see that, under regularity conditions,whereandcis a positive constant, which depends onpand on the random variableX.
Publisher
Cambridge University Press (CUP)
Subject
Economics and Econometrics,Social Sciences (miscellaneous)
Reference24 articles.
1. Convergence of Stochastic Processes
2. L-estimation for linear models;Koenker;Journal of the American Statistical Association,1987
3. Uniform second order asymptotic linearity of M-statistics in linear models;Jurečková;Statistics and Decisions,1989
4. Asymptotic Relations of $M$-Estimates and $R$-Estimates in Linear Regression Model
5. Trimmed Least Squares Estimation in the Linear Model
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