Maximum Likelihood Estimation Of Functional Relationships
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Maximum Likelihood Estimation Of Functional Relationships
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Author : Nico J.D. Nagelkerke
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Maximum Likelihood Estimation Of Functional Relationships written by Nico J.D. Nagelkerke and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The theory of functional relationships concerns itself with inference from models with a more complex error structure than those existing in regression models. We are familiar with the bivariate linear relationship having measurement errors in both variables and the fact that the standard regression estimator of the slope underestimates the true slope. One complication with inference about parameters in functional relationships, is that many of the standard properties of likelihood theory do not apply, at least not in the form in which they apply to e.g. regression models. This is probably one of the reasons why these models are not adequately discussed in most general books on statistics, despite their wide applicability. In this monograph we will explore the properties of likelihood methods in the context of functional relationship models. Full and conditional likelihood methods are both considered. Possible modifications to these methods are considered when necessary. Apart from exloring the theory itself, emphasis shall be placed upon the derivation of useful estimators and their second moment properties. No attempt is made to be mathematically rigid. Proofs are usually outlined with extensive use of the Landau 0(.) and 0(.) notations. It is hoped that this shall provide more insight than the inevitably lengthy proofs meeting strict standards of mathematical rigour.
Maximum Likelihood Estimation Of Functional Relationships
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Author : Nico J D Nagelkerke
language : en
Publisher:
Release Date : 1992-02-21
Maximum Likelihood Estimation Of Functional Relationships written by Nico J D Nagelkerke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-02-21 with categories.
Nbs Special Publication
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Author :
language : en
Publisher:
Release Date : 1970
Nbs Special Publication written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Weights and measures categories.
Recent Advances In Total Least Squares Techniques And Errors In Variables Modeling
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Author : Sabine van Huffel
language : en
Publisher: SIAM
Release Date : 1997-01-01
Recent Advances In Total Least Squares Techniques And Errors In Variables Modeling written by Sabine van Huffel and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.
An overview of the computational issues; statistical, numerical, and algebraic properties, and new generalizations and applications of advances on TLS and EIV models. Experts from several disciplines prepared overview papers which were presented at the conference and are included in this book.
Transactions Of The Eighth Prague Conference
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Author : J. Kozesnik
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Transactions Of The Eighth Prague Conference written by J. Kozesnik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
Statistical Analysis Of Measurement Error Models And Applications
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Author : Philip J. Brown
language : en
Publisher: American Mathematical Soc.
Release Date : 1990
Statistical Analysis Of Measurement Error Models And Applications written by Philip J. Brown and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Measurement error models describe functional relationships among variables observed, subject to random errors of measurement. This book treats general aspects of the measurement problem and features a discussion of the history of measurement error models.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1986
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Aeronautics categories.
Applied Regression Analysis
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Author : John O. Rawlings
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-31
Applied Regression Analysis written by John O. Rawlings and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-31 with Mathematics categories.
Least squares estimation, when used appropriately, is a powerful research tool. A deeper understanding of the regression concepts is essential for achieving optimal benefits from a least squares analysis. This book builds on the fundamentals of statistical methods and provides appropriate concepts that will allow a scientist to use least squares as an effective research tool. Applied Regression Analysis is aimed at the scientist who wishes to gain a working knowledge of regression analysis. The basic purpose of this book is to develop an understanding of least squares and related statistical methods without becoming excessively mathematical. It is the outgrowth of more than 30 years of consulting experience with scientists and many years of teaching an applied regression course to graduate students. Applied Regression Analysis serves as an excellent text for a service course on regression for non-statisticians and as a reference for researchers. It also provides a bridge between a two-semester introduction to statistical methods and a thoeretical linear models course. Applied Regression Analysis emphasizes the concepts and the analysis of data sets. It provides a review of the key concepts in simple linear regression, matrix operations, and multiple regression. Methods and criteria for selecting regression variables and geometric interpretations are discussed. Polynomial, trigonometric, analysis of variance, nonlinear, time series, logistic, random effects, and mixed effects models are also discussed. Detailed case studies and exercises based on real data sets are used to reinforce the concepts. The data sets used in the book are available on the Internet.
Statistical Inference
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Author : George Casella
language : en
Publisher: CRC Press
Release Date : 2024-05-23
Statistical Inference written by George Casella and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-23 with Mathematics categories.
This classic textbook builds theoretical statistics from the first principles of probability theory. Starting from the basics of probability, the authors develop the theory of statistical inference using techniques, definitions, and concepts that are statistical and natural extensions, and consequences, of previous concepts. It covers all topics from a standard inference course including: distributions, random variables, data reduction, point estimation, hypothesis testing, and interval estimation. Features The classic graduate-level textbook on statistical inference Develops elements of statistical theory from first principles of probability Written in a lucid style accessible to anyone with some background in calculus Covers all key topics of a standard course in inference Hundreds of examples throughout to aid understanding Each chapter includes an extensive set of graduated exercises Statistical Inference, Second Edition is primarily aimed at graduate students of statistics, but can be used by advanced undergraduate students majoring in statistics who have a solid mathematics background. It also stresses the more practical uses of statistical theory, being more concerned with understanding basic statistical concepts and deriving reasonable statistical procedures, while less focused on formal optimality considerations. This is a reprint of the second edition originally published by Cengage Learning, Inc. in 2001.
Evolutionary Biomechanics
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Author : Graham Taylor
language : en
Publisher: OUP Oxford
Release Date : 2014-01-02
Evolutionary Biomechanics written by Graham Taylor and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-02 with Science categories.
Evolutionary biomechanics is the study of evolution through the analysis of biomechanical systems. Its unique advantage is the precision with which physical constraints and performance can be predicted from first principles. Instead of reviewing the entire breadth of the biomechanical literature, a few key examples are explored in depth as vehicles for discussing fundamental concepts, analytical techniques, and evolutionary theory. Each chapter develops a conceptual theme, developing the underlying theory and techniques required for analyses in evolutionary biomechanics. Examples from terrestrial biomechanics, metabolic scaling, and bird flight are used to analyse how physics constrains the design space that natural selection is free to explore, and how adaptive evolution finds solutions to the trade-offs between multiple complex conflicting performance objectives. Evolutionary Biomechanics is suitable for graduate level students and professional researchers in the fields of biomechanics, physiology, evolutionary biology and palaeontology. It will also be of relevance and use to researchers in the physical sciences and engineering.