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Confirmation of multiple outliers in generalized linear and nonlinear regressions

Computational Statistics & Data Analysis, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fung, WK, Lee, AH
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Generalized Linear and Nonlinear Regression

2014
Multiple linear regression is a powerful method of exploring relationships between a response Y and a set of potential explanatory variables \(x_1,\ldots , x_p\), but it has an obvious limitation: it assumes the predictive relationship is, on average, linear.
Robert E. Kass   +2 more
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Robust estimation and testing for general nonlinear regression models

Applied Mathematics and Computation, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tabatabai, M. A., Argyros, I. K.
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THE GENERALIZED INVERSE, WITH NONLINEAR REGRESSION AND MATHEMATICAL PROGRAMMING APPLICATIONS

Decision Sciences, 1975
This paper is a tutorial exposition on the generalized inverse of a matrix with typical applications to regression analysis and mathematical programming. The exposition contains examples exhibiting geometrical motivation and related facts useful in application of the generalized inverse.
Henry P. Decell, Elric N. McHenry
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General Estimates of the Intrinsic Variability of Data in Nonlinear Regression Models

Journal of the American Statistical Association, 1976
Abstract A dependent variable is some unknown function of independent variables plus an error component. If the magnitude of the error could be estimated with minimal assumptions about the underlying functional dependence, then this could be used to judge goodness-of-fit and as a means of selecting a subset of the independent variables which best ...
L. Breiman, W. S. Meisel
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NL: A Statistical Package for General Nonlinear Regression Problems

1986
NL is a statistical package designed for nonlinear regression problems, taking into account the heteroscedasticity of variance, if any. The algorithm for the estimation of the regression parameters is adapted to the topic but it also presents possibilities for future extensions.
S. Huet, A. Messéan
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Nonlinear regression technique applied to generalized phase-shifting interferometry

Journal of Modern Optics, 2005
We develop a new approach involving nonlinear regression in phase-shifting interferometry with the hope of improving the accuracy of phase measurement in the presence of first-order piezoelectric transducer (PZT) calibration errors. The approach that uses the Levenberg–Marquardt method is shown to detect with high precision the value of the true phase ...
Abhijit Patil, Pramod Rastogi
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Nonlinear regression using order statistics from the multivariate generalized hyperbolic distributions

Communications in Statistics - Simulation and Computation, 2019
In this paper, by considering an (n+1)-dimensional random vector (X1,X2,….,Xn,Y)T from the multivariate generalized hyperbolic (GH) distribution, we derive the joint distribution of Y and the order...
Mehdi Amiri   +2 more
openaire   +1 more source

Eye Gaze Calculation Based on Nonlinear Polynomial and Generalized Regression Neural Network

2009 Fifth International Conference on Natural Computation, 2009
In this paper, we present a method of calculating the direction of the line of sight, which is based on nonlinear polynomial and generalized regression neural network, using a active infrared light source system. First of all, we get a model to map the gaze parameter to the gaze point under the circumstances of a static head with nonlinear polynomial ...
Jian-Nan Chi   +4 more
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Construction and Application of public Building Virtual Generator Based on Multiple Nonlinear Regression

2021 IEEE 11th Annual International Conference on CYBER Technology in Automation, Control, and Intelligent Systems (CYBER), 2021
As the main power consumption system of public buildings, central air-conditioning can be constructed as a virtual generator unit to participate in the operation of power system because of its flexible and adjustable characteristics. There are many electrical devices in the central air conditioning system, and the coupling relationship between the ...
Bing Wang   +6 more
openaire   +1 more source

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