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Error reduction in density estimation under shape restrictions

Rychlik, Tomasz - 1999

For the problems of nonparametric estimation of nonincreasing and symmetric unimodal density functions with bounded supports we determine the projections of estimates onto the convex families of possible parent densities with respect to the weighted integrated squared error. We also describe the...

Persistent link: https://www.econbiz.de/10009579180

Asymptotic normality of parametric part in partially linear models with measurement error in the nonparametric part

Liang, Hua - 1997

We consider the partially linear model relating a response Y to predictors (X,T) with mean function XT β + g(T) when the T's are measured with additive error. We derive an estimator of β by modification local-likelihood method. The resulting estimator of β is shown to be asymptotically...

Persistent link: https://www.econbiz.de/10009657894

Errors in variables models

Liang, Hua - 1999

Persistent link: https://www.econbiz.de/10009581095

Theoretical properties of two estimators in partially linear single-index measurement error models

Liang, Hua; Wang, Naisyin - 1999

Considering partially linear single-index errors-in-variables model which can be described as Y = n(X T a) + ZT ßo + e when the Z' s are measured with additive errors. The general estimators established in literature are biased when ignoring the measurement errors. We proposed two estimators in...

Persistent link: https://www.econbiz.de/10009582402

Cai, Zongwu (contributor) - 2003 - [Elektronische Ressource]

Persistent link: https://www.econbiz.de/10001919034

Design aspects of calibration studies in nutrition, with analysis of missing data in linear measurement error models

Carroll, Raymond J.; Freedman, Laurence; Pee, David - 1997

Motivated by an example in nutritional epidemiology, we investigate some design and analysis aspects of linear measurement error models with missing surrogate data. The specific problem investigated consists of an initial large sample in which the response (a food frequency questionnaire, FFQ)...

Persistent link: https://www.econbiz.de/10009631748

Nonparametric kernel and regression spline estimation in the presence of measurement error

Maca, J. D.; Carroll, Raymond J.; Ruppert, David - 1997

kernel regression context, we derive the limit distribution of the SIMEX estimate. With the regression spline technique, two … different methods of estimations are used. The first method is the SIMEX algorithm which attempts to estimate the bias, and … ; Measurement Error ; Local Polynomial Regression ; SIMEX ; Asymptotic theory ; Estimating Equations ; Nonlinear Regression …

Persistent link: https://www.econbiz.de/10009631749

Polynomial regression and estimation function in the presence of multiplication measurement error, with application to nutrition

Iturria, Stephen J.; Carroll, Raymond J.; Firth, David - 1997

In this paper we consider the polynomial regression model in the presence of multiplicative measurement error in the predictor. Consistent parameter estimates and their associated standard errors are derived. Two general methods are considered, with the methods differing in their assumptions...

Persistent link: https://www.econbiz.de/10009631750

Measurement error, biases, and the validation of complex models

Carroll, Raymond J.; Galindo, Christian D. - 1997

There are three major points to this article: 1. Measurement error causes biases in regression fits. The line one would obtain if one could accurately measure exposure to environmental lead media will differ in important ways when one measures exposure with error. 2. The effects of measurement...

Persistent link: https://www.econbiz.de/10009631751

Transformations of additivity in measurement error models

Eckert, R. Stephen; Carroll, Raymond J.; Wang, Naisyin - 1996

-in-Variables ; Nonlinear Models ; Power Transformations ; Regression Calibration ; SIMEX ; Spline Transformations ; Transform-Both-Sides …

Persistent link: https://www.econbiz.de/10009631755