A New Approach to Statistical Efficiency of Weighted Least Squares Fitting Algorithms for Reparameterization of Nonlinear Regression Models

We study nonlinear least-squares problem that can be transformed to linear problem by change of variables. We derive a general formula for the statistically optimal weights and prove that the resulting linear regression gives an optimal estimate (which satisfies an analogue of the Rao–Cramer lower b...

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Bibliographic Details
Main Authors: Zheng, Shimin, Gupta, A. K.
Published: Digital Commons @ East Tennessee State University 2012
Subjects:
Online Access:https://dc.etsu.edu/etsu-works/36
https://doi.org/10.1016/j.jspi.2011.11.011