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Biostatistics Advance Access originally published online on July 14, 2005
Biostatistics 2006 7(1):115-129; doi:10.1093/biostatistics/kxi044
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© The Author 2005. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oupjournals.org.

Estimation in regression models with externally estimated parameters

R. Todd Ogden*

Department of Biostatistics, Columbia University, 6th floor, 722 West 168th Street, New York, NY 10032, USA to166{at}columbia.edu

Thaddeus Tarpey

Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435, USA

* To whom correspondence should be addressed.

In many regression applications, some of the model parameters are estimated from separate data sources. Typically, these estimates are plugged into the regression model and the remainder of the parameters is estimated from the primary data source. This situation arises frequently in compartment modeling when there is an external input function to the system. This paper provides asymptotic and bootstrap-based approaches for accounting for all sources of variability when computing standard errors for estimated regression model parameters. Examples and simulations are provided to motivate and illustrate the ideas.

Keywords: Bootstrap; Compartment models; PET imaging


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