Reparameterization of nonlinear statistical models: a case study
Gavin Ross and
C. Sarada
Journal of Applied Statistics, 2010, vol. 37, issue 12, 2015-2026
Abstract:
The importance of finding appropriate parameterizations for nonlinear statistical models is highlighted. The purpose of this paper is to explore the principles of reparameterization, using an example from real data. It is shown that stable parameterizations allow likelihood-based confidence intervals to be computed. Further, it is noted that the choice of error distribution may seriously affect the estimates and confidence intervals of quantities of interest. The influence of each observation on the estimation of each parameter is displayed for each error model. Multidimensional likelihood contours may be displayed pairwise using profile likelihood computations.
Keywords: aphid population growth model; normal distributed errors; Poisson distributed errors; profile likelihoods; reparameterization; stable parameters (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:taf:japsta:v:37:y:2010:i:12:p:2015-2026
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DOI: 10.1080/02664760903207332
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