Journal ArticleDOI
The Modified Gauss-Newton Method for the Fitting of Non-Linear Regression Functions by Least Squares
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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
Relative efficiencies of organized industries in India, 1949–58.
TL;DR: In this paper, a production analysis based on the Cobb-Douglas production function with explicit allowance for technological change is used for the study of relative efficiencies of manufacturing industries in India.
Journal ArticleDOI
Nonlinear Regression Applied to Non-Newtonian Flow
TL;DR: Modifications of the Gauss-Newton method are among the most widely used methods for nonlinear regression analysis and one such modification, which the authors found applicable to a wide variety of pharmaceutical systems, is described.
Journal ArticleDOI
Plant response to temperature stress is characterized by an asymmetric sigmoid function
TL;DR: In this article, the Richards' function was used to fit temperature-mortality data sets of Salix viminalis (L), subjected to different ice nucleation conditions during cooling, and the inflection point increased from.366 with ice as a nucleator, to 0.813 with only water.
Journal ArticleDOI
Parameter estimation in nonlinear regression models 1
TL;DR: In this article, the problem of parameter estimation in nonlinear regression models is formulated as an inadequate least square problem and solved using the weighted inadequate least squares approximation (WILSA) method.
Experimental and Numerical Study on Migration of LNAPL under the Influence of Fluctuating Water Table in Subsurface
TL;DR: In this article, the results of NAPL Simulator which is used to predict the behavior of benzene (an LNAPL) under fluctuating groundwater table conditions are analyzed and a very good correlation was found between water saturation, capillary pressure and the location of the water table, and confirmed that the hysteresis phenomenon makes the S-p relations history and path dependant.
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.