کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
416830 681404 2013 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Estimation in linear regression models with measurement errors subject to single-indexed distortion
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
Estimation in linear regression models with measurement errors subject to single-indexed distortion
چکیده انگلیسی

In this paper, we consider statistical inference for linear regression models when neither the response nor the predictors can be directly observed, but are measured with errors in a multiplicative fashion and distorted as single index models of observable confounding variables. We propose a semiparametric profile least squares estimation procedure to estimate the single index. Then we develop a global weighted least squares estimation procedure for parameters of linear regression models via the varying coefficient models. Asymptotic properties of the proposed estimators are established. The results combined with consistent estimators for the asymptotic variance can be employed to test whether the targeted parameters in the single index and linear regression models are significant. Finite-sample performance of the proposed estimators is assessed by simulation experiments. The proposed methods are also applied to a dataset from a Pima Indian diabetes data study.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computational Statistics & Data Analysis - Volume 59, March 2013, Pages 103–120
نویسندگان
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