Browsing by Author "Carroll, Raymond J."

Now showing items 1-14 of 14

1997-01-13Buch

Analyzing bivariate continuous data that have been grouped into categories defined by Sample Quantiles of the Marginal Distributions

Borkowf, Craig B.; Gail, Mitchell H.; Carroll, Raymond J.; Gill, Richard D.

Epidemiologists sometimes study the association between two measures of exposure on the same subjects by grouping the data into categories that are defined by sample quantiles of the two marginal distributions. Although ...
1997-01-13Buch

Design Aspects of Calibration Studies in Nutrition, with Analysis of Missing Data in Linear Measurement Error Models

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

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 ...
2006-05-19Buch

Estimating Covariance Matrices Using Estimating Functions in Nonparametric and Semiparametric Regression

Carroll, Raymond J.; Iturria, Stephen J.; Gutierrez, Roberto G.

We use ideas from estimating function theory to derive new, simply computed consistent covariance matrix estimates in nonparametric regression and in a class of semiparametric problems. Unlike other estimates in the ...
1999-01-14Buch

Estimation in an additive model when the components are linked parametrically

Carroll, Raymond J.; Härdle, Wolfgang Karl; Mammen, Enno

Motivated by a nonparametric GARCH model we consider nonparametric additive regression and autoregression models in the special case that the additive components are linked parametrically. We show that the parameter can ...
1997-04-04Buch

Large Sample Theory in a Semiparametric Partially Linear Errors-in-Variables Models

Liang, Hua; Härdle, Wolfgang Karl; Carroll, Raymond J.
1997-01-14Buch

Local Linear Regression for Generalized Linear Models with Missing Data

Wang, C.Y.; Wang, Soujin; Carroll, Raymond J.; Gutierrez, Roberto G.

Fan, Heckman and Wand (1995) proposed locally weighted kernel polynomial regression methods for generalized linear models and quasilikelihood functions. When the covariate variables are missing at random, we propose a ...
1997-01-13Buch

Measurement Error, Biases, and the Validation of Complex Models

Carroll, Raymond J.; Galindo, Christian D.

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 ...
1997-01-22Buch

Nonparametric Estimation Via Local Estimating Equations, with Applications to Nutrition Calibration

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

Estimating equations have found wide popularity recently in parametric problems, yielding consistent estimators with asymptotically valid inferences obtained via the sandwich formula. Motivated by a problem in nutritional ...
1997-01-13Buch

Nonparametric Function Estimation of the Relationship between two Repeatedly Measured Variables

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

We describe methods for estimating the regression function nonparametrically and for estimating the variance components in a simple variance component model which is sometimes used for repeated measures data or data with ...
1997-01-15Buch

Nonparametric Kernel and Regression Spline Estimation in the Presence of Measurement Error

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

In many regression applications both the independent and dependent variables are measured with error. When this happens, conventional parametric and nonparametric regression techniques are no longer valid. We consider two ...
1995-12-15Buch

Plug-In Semiparametric Estimating Equations

Gutierrez, Roberto G.; Carroll, Raymond J.

In parametric regression problems, estimation of the parameter of interest is typically achieved via the solution of a set of unbiased estimating equations. We are interested in problems where in addition to this parameter, ...
1997-01-14Buch

Polynomial Regression and Estimation Function in the Presence of Multiplication Measurement Error, with Application to Nutrition

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

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 ...
1997-06-02Buch

The Efficiency of Bias-Corrected Estimators for Nonparametric Kernel Estimation Based on Local Estimating Equations

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

Stuetzle and Mittal (1979) for ordinary nonparametric kernel regression and Kauermann and Tutz (1996) for nonparametric generalized linear model kernel regression constructed estimators with lower order bias than the usual ...
1996-09-01Buch

Transformations of Additivity in Measurement Error Models

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

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 ...