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 题名: ADJUSTED LEAST-SQUARES ESTIMATES FOR THE SCALED REGRESSION-COEFFICIENTS WITH CENSORED-DATA 作者: CHENG,KF;WU,JW 贡献者: 統計研究所 关键词: LINEAR-REGRESSION;MODEL;SELECTION 日期: 1994 上传时间: 2010-06-29 19:34:13 (UTC+8) 出版者: 中央大學 摘要: 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. 關聯: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION 显示于类别: [統計研究所] 期刊論文

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