Nonlinear Estimation: Springer Series in Statistics
Autor Gavin J.S. Rossen Limba Engleză Paperback – 8 oct 2011
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Specificații
ISBN-13: 9781461280019
ISBN-10: 146128001X
Pagini: 200
Ilustrații: VIII, 189 p.
Dimensiuni: 155 x 235 x 11 mm
Greutate: 0.29 kg
Ediția:Softcover reprint of the original 1st ed. 1990
Editura: Springer
Colecția Springer
Seria Springer Series in Statistics
Locul publicării:New York, NY, United States
ISBN-10: 146128001X
Pagini: 200
Ilustrații: VIII, 189 p.
Dimensiuni: 155 x 235 x 11 mm
Greutate: 0.29 kg
Ediția:Softcover reprint of the original 1st ed. 1990
Editura: Springer
Colecția Springer
Seria Springer Series in Statistics
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
1 Models, Parameters, and Estimation.- 1.1. The Models To Be Considered.- 1.2. Maximum Likelihood Estimation.- 2 Transformations of Parameters.- 2.1. What Are Parameters?.- 2.2. A Priori Stable Parameters.- 2.3. A Posteriori Stable Parameters.- 2.4. Theoretical Justification for Stable Parameters Using Deviance Residuals.- 2.5. Similarity of Models.- 3 Inference and Stable Transformations.- 3.1. Existence and Uniqueness of Solutions.- 3.2. Inferences on Functions of Parameters.- 3.3. Effective Replication, Influential Observations, and Design.- 4 The Geometry of Nonlinear Inference.- 4.1. The Role of Graphical Representations.- 4.2. Data Plots in (x?y)Space.- 4.3. Data Plots in (y?y)Space.- 4.4. Plots in Parameter Space.- 5 Computing Methods for Nonlinear Modeling.- 5.1. Computer Programs, Libraries, and Packages.- 5.2. Requirements for Fitting Nonlinear Models.- 5.3. Algorithms for Nonlinear Inference.- 5.4. Separable Linear Parameters.- 5.5. Confidence Intervals for Parameters and Functions.- 6 Practical Applications of Nonlinear Modeling.- 6.1. Some Questions To Be Asked in any Practical Application.- 6.2 Curve Fitting to Regular Observations in Time.- 6.3. Fitting Data to Models Defined by Differential Equations.- 7 A Program for Fitting Nonlinear Models, MLP.- 7.1. Structure of MLP.- 7.2. Curve Fitting y = f(x, ?)+ ?.- 7.3. Fitting Frequency Distributions.- 7.4. Standard Biological Models Requiring Maximum Likelihood Estimation.- 7.5. General User-Defined Models in MLP.- Appendix Glossary of Unfamiliar Terms Used in This Work.- References.- Author Index.
Recenzii
"The novel part of this book is a central theme on the important differences in specific parts of the problem... It contains many interesting ideas, particularly with regard to parameterizations and graphics... people with the relevant type of data should find careful study of this book very rewarding."
(Journal of the Am. Statistical Assoc.)
(Journal of the Am. Statistical Assoc.)