Journal ArticleDOI
The Modified Gauss-Newton Method for the Fitting of Non-Linear Regression Functions by Least Squares
Reads0
Chats0
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
More filters
Journal ArticleDOI
Optimization in statistics: an overview
TL;DR: This note presents a brief overview of the applications of optimization techniques in statistics, broadly classified as classical, variational, numerical, and mathematical programming.
Posted ContentDOI
Identification of Market Power in Bilateral Oligopoly: The Brazilian Wholesale Market of UHT Milk
TL;DR: In this paper, the authors test the hypothesis of market power in the wholesale market for UHT milk and show that the structure of this market is an oligopoly characterized as bilateral and uses the model proposed by Schroeter et al.
Journal ArticleDOI
Estimating leaf area of warm‐season perennial legumes
Bruno Grossi Costa Homem,Igor Machado Ferreira,Mateus Pies Gionbelli,Thiago Fernandes Bernardes,Daniel Rume Casagrande,Márcio A. S. Lara +5 more
Econometric-model of television ownership
C. McCarthy,J. Ryan +1 more
TL;DR: In this article, a modified log-reciprocal model is proposed for time-series television ownership and is found to describe closely the British and Irish data and gives more plausible extra-sample predictions than the Logistic model also estimated.
Journal ArticleDOI
Triangular walk pattern for the down-hill method of solving a transcendental equation
TL;DR: The down-hill method by Ward is a numerical method for determining a complex root of ƒ(z = 0) that seeks to minimize W by non-random walk from a starting point over the complex plane.
References
More filters
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.