Nonlinear Regression

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Handbook of Nonlinear Regression Models

Author : David A. Ratkowsky
Publisher : Unknown
Page : 272 pages
File Size : 54,6 Mb
Release : 1990
Category : Mathematics
ISBN : UOM:39076001106272

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Handbook of Nonlinear Regression Models by David A. Ratkowsky Pdf

The background; An introduction to regression modeling; Nonlinear regression modeling; An illustrative example of regression modeling; The models; Models with one X variable, convex/concave curves; Models with one X variable, sigmoidally shaped curves; Models with one X variable, curves with maxima and minima; Models with more than one explanatory viariable; Other models and excluded models; Obtaining good initial parameter estimates; Summary; References; Table of symbols; Appendix; Author index; Subject index.

Nonlinear Regression

Author : George A. F. Seber,C. J. Wild
Publisher : John Wiley & Sons
Page : 768 pages
File Size : 41,6 Mb
Release : 2005-02-25
Category : Mathematics
ISBN : 9780471725305

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Nonlinear Regression by George A. F. Seber,C. J. Wild Pdf

WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. From the Reviews of Nonlinear Regression "A very good book and an important one in that it is likely to become a standard reference for all interested in nonlinear regression; and I would imagine that any statistician concerned with nonlinear regression would want a copy on his shelves." –The Statistician "Nonlinear Regression also includes a reference list of over 700 entries. The compilation of this material and cross-referencing of it is one of the most valuable aspects of the book. Nonlinear Regression can provide the researcher unfamiliar with a particular specialty area of nonlinear regression an introduction to that area of nonlinear regression and access to the appropriate references . . . Nonlinear Regression provides by far the broadest discussion of nonlinear regression models currently available and will be a valuable addition to the library of anyone interested in understanding and using such models including the statistical researcher." –Mathematical Reviews

Nonlinear Regression Analysis and Its Applications

Author : Douglas M. Bates,Donald G. Watts
Publisher : Wiley-Interscience
Page : 398 pages
File Size : 43,6 Mb
Release : 2007-04-23
Category : Mathematics
ISBN : UCSD:31822034586008

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Nonlinear Regression Analysis and Its Applications by Douglas M. Bates,Donald G. Watts Pdf

Provides a presentation of the theoretical, practical, and computational aspects of nonlinear regression. There is background material on linear regression, including a geometrical development for linear and nonlinear least squares.

Nonlinear Regression with R

Author : Christian Ritz,Jens Carl Streibig
Publisher : Springer Science & Business Media
Page : 151 pages
File Size : 43,5 Mb
Release : 2008-12-11
Category : Mathematics
ISBN : 9780387096162

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Nonlinear Regression with R by Christian Ritz,Jens Carl Streibig Pdf

- Coherent and unified treatment of nonlinear regression with R. - Example-based approach. - Wide area of application.

Fitting Models to Biological Data Using Linear and Nonlinear Regression

Author : Harvey Motulsky,Arthur Christopoulos
Publisher : Oxford University Press
Page : 352 pages
File Size : 50,6 Mb
Release : 2004-05-27
Category : Mathematics
ISBN : 0198038348

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Fitting Models to Biological Data Using Linear and Nonlinear Regression by Harvey Motulsky,Arthur Christopoulos Pdf

Most biologists use nonlinear regression more than any other statistical technique, but there are very few places to learn about curve-fitting. This book, by the author of the very successful Intuitive Biostatistics, addresses this relatively focused need of an extraordinarily broad range of scientists.

Statistical Tools for Nonlinear Regression

Author : Sylvie Huet,Anne Bouvier,Marie-Anne Poursat,Emmanuel Jolivet
Publisher : Springer Science & Business Media
Page : 161 pages
File Size : 53,8 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475725230

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Statistical Tools for Nonlinear Regression by Sylvie Huet,Anne Bouvier,Marie-Anne Poursat,Emmanuel Jolivet Pdf

Statistical Tools for Nonlinear Regression presents methods for analyzing data. It has been expanded to include binomial, multinomial and Poisson non-linear models. The examples are analyzed with the free software nls2 updated to deal with the new models included in the second edition. The nls2 package is implemented in S-PLUS and R. Several additional tools are included in the package for calculating confidence regions for functions of parameters or calibration intervals, using classical methodology or bootstrap.

Robust Nonlinear Regression

Author : Hossein Riazoshams,Habshah Midi,Gebrenegus Ghilagaber
Publisher : John Wiley & Sons
Page : 258 pages
File Size : 45,7 Mb
Release : 2018-08-20
Category : Mathematics
ISBN : 9781118738061

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Robust Nonlinear Regression by Hossein Riazoshams,Habshah Midi,Gebrenegus Ghilagaber Pdf

The first book to discuss robust aspects of nonlinear regression—with applications using R software Robust Nonlinear Regression: with Applications using R covers a variety of theories and applications of nonlinear robust regression. It discusses both parts of the classic and robust aspects of nonlinear regression and focuses on outlier effects. It develops new methods in robust nonlinear regression and implements a set of objects and functions in S-language under SPLUS and R software. The software covers a wide range of robust nonlinear fitting and inferences, and is designed to provide facilities for computer users to define their own nonlinear models as an object, and fit models using classic and robust methods as well as detect outliers. The implemented objects and functions can be applied by practitioners as well as researchers. The book offers comprehensive coverage of the subject in 9 chapters: Theories of Nonlinear Regression and Inference; Introduction to R; Optimization; Theories of Robust Nonlinear Methods; Robust and Classical Nonlinear Regression with Autocorrelated and Heteroscedastic errors; Outlier Detection; R Packages in Nonlinear Regression; A New R Package in Robust Nonlinear Regression; and Object Sets. The first comprehensive coverage of this field covers a variety of both theoretical and applied topics surrounding robust nonlinear regression Addresses some commonly mishandled aspects of modeling R packages for both classical and robust nonlinear regression are presented in detail in the book and on an accompanying website Robust Nonlinear Regression: with Applications using R is an ideal text for statisticians, biostatisticians, and statistical consultants, as well as advanced level students of statistics.

Nonlinear Regression Modeling for Engineering Applications

Author : R. Russell Rhinehart
Publisher : John Wiley & Sons
Page : 402 pages
File Size : 50,8 Mb
Release : 2016-09-26
Category : Mathematics
ISBN : 9781118597965

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Nonlinear Regression Modeling for Engineering Applications by R. Russell Rhinehart Pdf

Since mathematical models express our understanding of how nature behaves, we use them to validate our understanding of the fundamentals about systems (which could be processes, equipment, procedures, devices, or products). Also, when validated, the model is useful for engineering applications related to diagnosis, design, and optimization. First, we postulate a mechanism, then derive a model grounded in that mechanistic understanding. If the model does not fit the data, our understanding of the mechanism was wrong or incomplete. Patterns in the residuals can guide model improvement. Alternately, when the model fits the data, our understanding is sufficient and confidently functional for engineering applications. This book details methods of nonlinear regression, computational algorithms,model validation, interpretation of residuals, and useful experimental design. The focus is on practical applications, with relevant methods supported by fundamental analysis. This book will assist either the academic or industrial practitioner to properly classify the system, choose between the various available modeling options and regression objectives, design experiments to obtain data capturing critical system behaviors, fit the model parameters based on that data, and statistically characterize the resulting model. The author has used the material in the undergraduate unit operations lab course and in advanced control applications.

Model Discrimination for Nonlinear Regression Models

Author : Dale S. Borowiak
Publisher : CRC Press
Page : 200 pages
File Size : 53,9 Mb
Release : 2020-11-25
Category : Mathematics
ISBN : 9781000104127

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Model Discrimination for Nonlinear Regression Models by Dale S. Borowiak Pdf

Borowiak (math, U. of Akron) discusses model discrimination based upon incorrect selection probability, presents diagnostic statistics and formal hypothesis test procedures to assess a model's fit and stability, explains the use of computer computations such as the jackknife and bootstrap, and demon

Nonlinear Statistical Models

Author : A. Ronald Gallant
Publisher : John Wiley & Sons
Page : 632 pages
File Size : 45,7 Mb
Release : 1987-02-04
Category : Mathematics
ISBN : UOM:39015017305916

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Nonlinear Statistical Models by A. Ronald Gallant Pdf

Univariate nonlinear regression; Univariate nonlinear regression: special situations; A unified asymptotic theory of nonlinear models with regression structure; Univariate nonlinear regression: asymptotic theory; Multivariate nonlinear regression; Nonlinear simultaneus equations models; A unified asymptotic theory for dynamic nonlinear models.

Asymptotic Theory of Nonlinear Regression

Author : A.A. Ivanov
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 43,9 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401588775

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Asymptotic Theory of Nonlinear Regression by A.A. Ivanov Pdf

Let us assume that an observation Xi is a random variable (r.v.) with values in 1 1 (1R1 , 8 ) and distribution Pi (1R1 is the real line, and 8 is the cr-algebra of its Borel subsets). Let us also assume that the unknown distribution Pi belongs to a 1 certain parametric family {Pi() , () E e}. We call the triple £i = {1R1 , 8 , Pi(), () E e} a statistical experiment generated by the observation Xi. n We shall say that a statistical experiment £n = {lRn, 8 , P; ,() E e} is the product of the statistical experiments £i, i = 1, ... ,n if PO' = P () X ... X P () (IRn 1 n n is the n-dimensional Euclidean space, and 8 is the cr-algebra of its Borel subsets). In this manner the experiment £n is generated by n independent observations X = (X1, ... ,Xn). In this book we study the statistical experiments £n generated by observations of the form j = 1, ... ,n. (0.1) Xj = g(j, (}) + cj, c c In (0.1) g(j, (}) is a non-random function defined on e , where e is the closure in IRq of the open set e ~ IRq, and C j are independent r. v .-s with common distribution function (dJ.) P not depending on ().

Bayesian Methods for Nonlinear Classification and Regression

Author : David G. T. Denison,Christopher C. Holmes,Bani K. Mallick,Adrian F. M. Smith
Publisher : John Wiley & Sons
Page : 302 pages
File Size : 45,6 Mb
Release : 2002-05-06
Category : Mathematics
ISBN : 0471490369

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Bayesian Methods for Nonlinear Classification and Regression by David G. T. Denison,Christopher C. Holmes,Bani K. Mallick,Adrian F. M. Smith Pdf

Bei der Regressionsanalyse von Datenmaterial erhält man leider selten lineare oder andere einfache Zusammenhänge (parametrische Modelle). Dieses Buch hilft Ihnen, auch komplexere, nichtparametrische Modelle zu verstehen und zu beherrschen. Stärken und Schwächen jedes einzelnen Modells werden durch die Anwendung auf Standarddatensätze demonstriert. Verbreitete nichtparametrische Modelle werden mit Hilfe von Bayes-Verfahren in einen kohärenten wahrscheinlichkeitstheoretischen Zusammenhang gebracht.

Nonlinear Regression

Author : George A. F. Seber,C. J. Wild
Publisher : John Wiley & Sons
Page : 768 pages
File Size : 43,6 Mb
Release : 2005-02-25
Category : Mathematics
ISBN : 9780471725305

Get Book

Nonlinear Regression by George A. F. Seber,C. J. Wild Pdf

WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. From the Reviews of Nonlinear Regression "A very good book and an important one in that it is likely to become a standard reference for all interested in nonlinear regression; and I would imagine that any statistician concerned with nonlinear regression would want a copy on his shelves." –The Statistician "Nonlinear Regression also includes a reference list of over 700 entries. The compilation of this material and cross-referencing of it is one of the most valuable aspects of the book. Nonlinear Regression can provide the researcher unfamiliar with a particular specialty area of nonlinear regression an introduction to that area of nonlinear regression and access to the appropriate references . . . Nonlinear Regression provides by far the broadest discussion of nonlinear regression models currently available and will be a valuable addition to the library of anyone interested in understanding and using such models including the statistical researcher." –Mathematical Reviews

Robust Nonlinear Regression

Author : Hossein Riazoshams,Habshah Midi,Gebrenegus Ghilagaber
Publisher : John Wiley & Sons
Page : 264 pages
File Size : 45,9 Mb
Release : 2018-06-11
Category : Mathematics
ISBN : 9781119010456

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Robust Nonlinear Regression by Hossein Riazoshams,Habshah Midi,Gebrenegus Ghilagaber Pdf

The first book to discuss robust aspects of nonlinear regression—with applications using R software Robust Nonlinear Regression: with Applications using R covers a variety of theories and applications of nonlinear robust regression. It discusses both parts of the classic and robust aspects of nonlinear regression and focuses on outlier effects. It develops new methods in robust nonlinear regression and implements a set of objects and functions in S-language under SPLUS and R software. The software covers a wide range of robust nonlinear fitting and inferences, and is designed to provide facilities for computer users to define their own nonlinear models as an object, and fit models using classic and robust methods as well as detect outliers. The implemented objects and functions can be applied by practitioners as well as researchers. The book offers comprehensive coverage of the subject in 9 chapters: Theories of Nonlinear Regression and Inference; Introduction to R; Optimization; Theories of Robust Nonlinear Methods; Robust and Classical Nonlinear Regression with Autocorrelated and Heteroscedastic errors; Outlier Detection; R Packages in Nonlinear Regression; A New R Package in Robust Nonlinear Regression; and Object Sets. The first comprehensive coverage of this field covers a variety of both theoretical and applied topics surrounding robust nonlinear regression Addresses some commonly mishandled aspects of modeling R packages for both classical and robust nonlinear regression are presented in detail in the book and on an accompanying website Robust Nonlinear Regression: with Applications using R is an ideal text for statisticians, biostatisticians, and statistical consultants, as well as advanced level students of statistics.

Linear and Non-Linear System Theory

Author : T Thyagarajan,D Kalpana
Publisher : CRC Press
Page : 218 pages
File Size : 41,6 Mb
Release : 2020-10-22
Category : Technology & Engineering
ISBN : 9781000204339

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Linear and Non-Linear System Theory by T Thyagarajan,D Kalpana Pdf

Linear and Non-Linear System Theory focuses on the basics of linear and non-linear systems, optimal control and optimal estimation with an objective to understand the basics of state space approach linear and non-linear systems and its analysis thereof. Divided into eight chapters, materials cover an introduction to the advanced topics in the field of linear and non-linear systems, optimal control and estimation supported by mathematical tools, detailed case studies and numerical and exercise problems. This book is aimed at senior undergraduate and graduate students in electrical, instrumentation, electronics, chemical, control engineering and other allied branches of engineering. Features Covers both linear and non-linear system theory Explores state feedback control and state estimator concepts Discusses non-linear systems and phase plane analysis Includes non-linear system stability and bifurcation behaviour Elaborates optimal control and estimation