Corpus ID: 11227305

Nonparametric Regression Estimation for Nonlinear Systems: A Case Study of Sigmoidal Growths

@inproceedings{Akbar2011NonparametricRE,
  title={Nonparametric Regression Estimation for Nonlinear Systems: A Case Study of Sigmoidal Growths},
  author={Atif Akbar and Muhammad Aman Ullah},
  year={2011}
}
Sigmoidal growths are well approximated by the non-linear sigmoidal growth models including Richards (1959) Morgan et al (1975), Davies and Ku (1977) and Muller et al (2006) among many others. This article deals with the comparison of the nonparametric regression with the non-linear regression models in order to locate the better approximation for sigmoidal growths. To unwind the standard assumptions, nonparametric regression estimation is used for data analysis, which enables us to look at the… Expand

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References

SHOWING 1-10 OF 49 REFERENCES
Nonlinear Regression
  • A. Pázman
  • Computer Science
  • International Encyclopedia of Statistical Science
  • 2011
TLDR
This program estimates the parameters in nonlinear models using the Levenberg-Marquardt nonlinear leastsquares algorithm as presented in Nash (1987) and has implemented Nash’s MRT algorithm with numerical derivatives. Expand
Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting
Abstract Locally weighted regression, or loess, is a way of estimating a regression surface through a multivariate smoothing procedure, fitting a function of the independent variables locally and inExpand
Weighted Local Regression and Kernel Methods for Nonparametric Curve Fitting
Abstract Weighted local regression, a popular technique for smoothing scatterplots, is shown to be asymptotically equivalent to certain kernel smoothers. Since both methods are local weightedExpand
Applied Nonparametric Regression
Applied Nonparametric Regression is the first book to bring together in one place the techniques for regression curve smoothing involving more than one variable. The computer and the development ofExpand
A New Generalized Logistic Sigmoid Growth Equation Compared with the Richards Growth Equation
TLDR
The new sigmoid equation is more suitable when initial growth is believed to be generally close to exponential, when estimates of maximum relative growth rate are required, or for generic growth simulations. Expand
Introduction to Nonparametric Regression
  • Runze Li
  • Mathematics, Computer Science
  • Technometrics
  • 2006
TLDR
This monograph is a valuable resource that provides a good literature review, an excellent account of the state of the art research on the necessary theory and algorithms, and ample illustrations of numerous applications of HMM. Expand
A Flexible Growth Function for Empirical Use
TLDR
In the empirical approach the magnitudes of the constants in the fitted equations may be used to assess the importance in growth of experimentally controllable factors, but the constants themselves are not regarded as having any absolute significance for the theory of growth. Expand
Robust Locally Weighted Regression and Smoothing Scatterplots
Abstract The visual information on a scatterplot can be greatly enhanced, with little additional cost, by computing and plotting smoothed points. Robust locally weighted regression is a method forExpand
Bandwidth Choice for Nonparametric Regression
This paper is concerned with the problem of choosing a bandwidth parameter for nonparametric regression. We analyze a tapered Fourier series estimate and discuss the relationship of this estimate toExpand
The Behaviour of Estimators of the Parameters of Various Yield-Density Relationships
The yield-density equations of Bleasdale and Nelder (1960) and Holliday (1960), are compared in a series of simulation studies. The results show that the maximum likelihood estimators (MLE's) of twoExpand
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