ADJUSTED LEAST-SQUARES ESTIMATES FOR THE SCALED REGRESSION-COEFFICIENTS WITH CENSORED-DATA

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27814

Title:	ADJUSTED LEAST-SQUARES ESTIMATES FOR THE SCALED REGRESSION-COEFFICIENTS WITH CENSORED-DATA
Authors:	CHENG,KF;WU,JW
Contributors:	統計研究所
Keywords:	LINEAR-REGRESSION;MODEL;SELECTION
Date:	1994
Issue Date:	2010-06-29 19:34:13 (UTC+8)
Publisher:	中央大學
Abstract:	The ordinary least squares (OLS) method is popular for analyzing linear regression models because of its simplicity in computation. Suppose that the regressor variables are stochastic and the dependent observations are censored; we can prove that under very general design conditions, the least squares (LS) method can still be useful in estimating the scaled regression coefficients of the general regression model Y-i(*) = Q(alpha + beta X(i), E(i)), i = 1,2,...,n, provided that the censored response observations are properly weighted. (Here alpha is a constant, beta is a 1 X p row vector, X(i) are p X 1 column vectors of explanatory variables, E(i) are unobserved random errors, and Q is an arbitrary unknown function.) Particularly, we shall see that under stronger design conditions, such as assuming that the regressor variables have elliptically symmetric distribution, the OLS estimator consistently estimates the scaled beta when the response observations are complete. The model discussed here is not the usual nonlinear regression model, because the functional form of Q is completely unknown. We shall show the proposed adjusted LS estimators are root n-consistent and asymptotically normal under very general censoring schemes. Consistent measurement of the precision for each point estimator is also given. Moreover, a limited Monte Carlo simulation is used to study the practical performance of the procedures.
Relation:	JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
Appears in Collections:	[Graduate Institute of Statistics] journal & Dissertation

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