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Nonparametric estimation via local estimating equations, with applications to nutrition calibration

Carroll, Raymond J.; Ruppert, David; Welsh, A. H. - 1997

estimated via local polynomials with loess or kernel weighting, asymptotic theory is derived for the latter. In keeping with the … without deriving asymptotic theory on a case-by-case basis. The methods are applied to a series of examples. The application … to nutrition is called "nonparametric calibration" after the term used for studies in that field. Other applications …

Persistent link: https://www.econbiz.de/10009631744

The efficiency of bias-corrected estimators for nonparametric kernel estimation based on local estimating equations

Kauermann, Göran; Müller, Marlene; Carroll, Raymond J. - 1997

need for devices such as second derivative estimation and multiple bandwidths of different order. We derive a similar … estimator in the context of local (multivariate) estimation based on estimating functions. As expected, this lower order bias is …

Persistent link: https://www.econbiz.de/10009659631

Local linear regression for generalized linear models with missing data

Wang, C. Y.; Wang, Soujin; Carroll, Raymond J.; … - 1997

based on the inverse selection probability weights. Distribution theory is derived when the selection probabilities are …

Persistent link: https://www.econbiz.de/10009631745

Estimating covariance matrices using estimating functions in nonparametric and semiparametric regression

Carroll, Raymond J.; Iturria, Stephen J.; Gutierrez, … - 1997

We use ideas from estimating function theory to derive new, simply computed consistent covariance matrix estimates in …

Persistent link: https://www.econbiz.de/10009631747

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

analysis. In the usual linear model with no missing data, method of moments estimates and normal-theory maximum likelihood … discussed. -- Measurement Error ; Errors-in-Variables ; Estimating Equations ; Nutrition ; Sampling Designs ; Linear regression …

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

techniques, regression splines and kernel estimation, of which both can be used in the presence of measurement error. Within the … ; Measurement Error ; Local Polynomial Regression ; SIMEX ; Asymptotic theory ; Estimating Equations ; Nonlinear Regression … ; Bandwidth Selection ; Regression Splines ; Sandwich Estimation …

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

from a nutrition study are analyzed using the methods. Finally, the results from a simulation study are presented and the … performances of the methods compared. -- Bootstrap ; Measurement Error ; Errors-in-Variables ; Asymptotic theory ; Estimating … Equations ; Nonlinear Regression ; Nutrition …

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

Nonparametric function estimation of the relationship between two repeatedly measured variables

Ruckstuhl, A.; Welsh, A. H.; Carroll, Raymond J. - 1997

which perform better asymptotically in some circumstances. -- semiparametric estimation ; Local linear regression ; local …

Persistent link: https://www.econbiz.de/10009631752

Transformations of additivity in measurement error models

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

In many problems one wants to model the relationship between a response Y and a covariate X. Sometimes it is difficult, expensive, or even impossible to observe X directly, but one can instead observe a substitute variable W which is easier to obtain. By far the most common model for the...

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

Plug-in semiparametric estimating equations

Gutierrez, Roberto G.; Carroll, Raymond J. - 1995

In parametric regression problems, estimation of the parameter of interest is typically achieved via the solution of a … theory to three examples. -- Nonparametric Regression ; Missing Data ; Generalized Linear Models ; Local Linear Regression …

Persistent link: https://www.econbiz.de/10009631757