Journal ArticleDOI
The Modified Gauss-Newton Method for the Fitting of Non-Linear Regression Functions by Least Squares
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TLDR
The experimental scientist is frequently faced with the task of determining the functional relation between a response, y and a number of inputs, x, x2,. * *, x, with the help of empirical data.Abstract:
The experimental scientist is frequently faced with the task of determining the functional relation between a 'response', y and a number of 'inputs', x , x2, . * * , x, with the help of empirical data. Often the mathematical form of the functional relation is assumed to be known and is written in the form of a 'regression function',read more
Citations
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Journal ArticleDOI
Least squares recursive differential-corection estimation in nonlinear problems
TL;DR: In this paper, a general formulation of recursive filtering in non-linear problems is presented, where the time dependence of variables and parameters to be estimated is described by a set of nonlinear differential equations for which an exact explicit solution may not be available.
Journal ArticleDOI
Maximum likelihood estimation of rational transfer function parameters
A. E. Rogers,Kenneth Steiglitz +1 more
TL;DR: In this article, the problem of estimating unknown transfer function parameters from finite input-output records which have been disturbed by additive Gaussian noise with unknown correlation is considered, and the likelihood function is generated from the data by numerical filtering.
Journal ArticleDOI
Estimation of pharmacokinetic parameters: statistical considerations.
Journal ArticleDOI
Kinetics of inhibition of foliar gas exchange by exogenous ethylene: an ultrasensitive response
TL;DR: In this article, the authors examined the inhibition of foliar gas exchange as a function of ethylene (C2H4) concentration in order to evaluate the potential role of stress C2H, in mediating changes in gas exchange in response to environmental stress.
Metrology : Calibration and Measurement Processes Guidelines
Howard T. Castrup,Woodward G. Eicke,Jerry L. Hayes,Alexander Mark,Robert E. Martin,James L. Taylor +5 more
TL;DR: The measurement process is covered from a high level through more detailed discussions of key elements within the process, and emphasis is given to the flowdown of project requirements to measurement system requirements, then through the activities that will provide measurements with defined quality.
References
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Journal ArticleDOI
A method for the solution of certain non – linear problems in least squares
TL;DR: In this article, the problem of least square problems with non-linear normal equations is solved by an extension of the standard method which insures improvement of the initial solution, which can also be considered an extension to Newton's method.
Book ChapterDOI
On the Experimental Attainment of Optimum Conditions
George E. P. Box,K. B. Wilson +1 more
TL;DR: The work described in this article is the result of a study extending over the past few years by a chemist and a statistician, which has come about mainly in answer to problems of determining optimum conditions in chemical investigations, but they believe that the methods will be of value in other fields where experimentation is sequential and the error fairly small.