Maximum Likelihood Estimation of Functional Relationships

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Publisher : Springer Science & Business Media
ISBN 13 : 1461228581
Total Pages : 118 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Maximum Likelihood Estimation of Functional Relationships by : Nico J.D. Nagelkerke

Download or read book Maximum Likelihood Estimation of Functional Relationships written by Nico J.D. Nagelkerke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Maximun likelihood estimation of functional relationships

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (138 download)

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Book Synopsis Maximun likelihood estimation of functional relationships by : N.J.D. Nagelkerke

Download or read book Maximun likelihood estimation of functional relationships written by N.J.D. Nagelkerke and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Improving the Maximum Likelihood Estimate in Linear Functional Relationships for Alternative Parameter Sequences

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Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Improving the Maximum Likelihood Estimate in Linear Functional Relationships for Alternative Parameter Sequences by : Stanford University. Institute for Mathematical Studies in the Social Sciences

Download or read book Improving the Maximum Likelihood Estimate in Linear Functional Relationships for Alternative Parameter Sequences written by Stanford University. Institute for Mathematical Studies in the Social Sciences and published by . This book was released on 1979 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

MAXIMUM LIKELIHOOD ESTIMATION OF FUNCTIONAL RELATIONSHIP WHEN ONE OF THE DEPARTURE VARIANCES IS KNOWN OR INDEPENDENTLY ESTIMATED

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Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis MAXIMUM LIKELIHOOD ESTIMATION OF FUNCTIONAL RELATIONSHIP WHEN ONE OF THE DEPARTURE VARIANCES IS KNOWN OR INDEPENDENTLY ESTIMATED by : LARS MOBERG

Download or read book MAXIMUM LIKELIHOOD ESTIMATION OF FUNCTIONAL RELATIONSHIP WHEN ONE OF THE DEPARTURE VARIANCES IS KNOWN OR INDEPENDENTLY ESTIMATED written by LARS MOBERG and published by . This book was released on 1975 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parameter Estimation in Functional Relationships

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Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.:/5 (289 download)

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Book Synopsis Parameter Estimation in Functional Relationships by : Graydon Willis Bell

Download or read book Parameter Estimation in Functional Relationships written by Graydon Willis Bell and published by . This book was released on 1974 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Maximum Likelihood Estimation for Sample Surveys

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Publisher : CRC Press
ISBN 13 : 1420011359
Total Pages : 374 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Maximum Likelihood Estimation for Sample Surveys by : Raymond L. Chambers

Download or read book Maximum Likelihood Estimation for Sample Surveys written by Raymond L. Chambers and published by CRC Press. This book was released on 2012-05-02 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sample surveys provide data used by researchers in a large range of disciplines to analyze important relationships using well-established and widely used likelihood methods. The methods used to select samples often result in the sample differing in important ways from the target population and standard application of likelihood methods can lead to

An Asymptotic Expansion of the Distribution of the Maximum Likelihood Estimate of the Slpoe Coefficient in a Linear Functional Relationship

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ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis An Asymptotic Expansion of the Distribution of the Maximum Likelihood Estimate of the Slpoe Coefficient in a Linear Functional Relationship by : Stanford University. Institute for Mathematical Studies in the Social Sciences

Download or read book An Asymptotic Expansion of the Distribution of the Maximum Likelihood Estimate of the Slpoe Coefficient in a Linear Functional Relationship written by Stanford University. Institute for Mathematical Studies in the Social Sciences and published by . This book was released on 1975 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Problems of Evaluation of Functional Relationships from Random-noise Or Fuzzy Data

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Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (25 download)

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Book Synopsis Problems of Evaluation of Functional Relationships from Random-noise Or Fuzzy Data by : Hans Bandemer

Download or read book Problems of Evaluation of Functional Relationships from Random-noise Or Fuzzy Data written by Hans Bandemer and published by . This book was released on 1985 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

NBS Special Publication

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Publisher :
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis NBS Special Publication by :

Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Estimating Nonlinear Functional Relations by Maximum Likelihood and Least Squares

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Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Estimating Nonlinear Functional Relations by Maximum Likelihood and Least Squares by : J. W. Sawyer

Download or read book Estimating Nonlinear Functional Relations by Maximum Likelihood and Least Squares written by J. W. Sawyer and published by . This book was released on 1980 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Estimating Nonlinear Functional Relations by Maximum Likelihood and Least Squares

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Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (835 download)

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Book Synopsis Estimating Nonlinear Functional Relations by Maximum Likelihood and Least Squares by : John Wesley Sawyer

Download or read book Estimating Nonlinear Functional Relations by Maximum Likelihood and Least Squares written by John Wesley Sawyer and published by . This book was released on 1982 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Pseudosolution of Linear Functional Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 0387245065
Total Pages : 245 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Pseudosolution of Linear Functional Equations by : Alexander S. Mechenov

Download or read book Pseudosolution of Linear Functional Equations written by Alexander S. Mechenov and published by Springer Science & Business Media. This book was released on 2005-07-25 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the book there are introduced models and methods of construction of pseudo-solutions for the well-posed and ill-posed linear functional equations circumscribing models passive, active and complicated experiments. Two types of the functional equations are considered: systems of the linear algebraic equations and linear integral equations. Methods of construction of pseudos6lutions are developed in the presence of passive right-hand side errors for two types of operator errors: passive measurements and active representation errors of the operator, and all their combinations. For the determined and stochastic models of passive experiments the method of the least distances of construction of pseudosolutions is created, the maximum likelihood method of construction of pseudosolutions is applied for active experiments, and then methods for combinations of models of regression, of passive and of active experiments are created. We have constructed regularized variants of these methods for systems of the linear algebraic equations with the degenerated matrices and for linear integral equations of the first kind. In pure mathematics, the solution techniques of the functional equations with exact input data more often are studied. In applied mathematics, problem consists in construction of pseudosolutions, that is, solution of the hctional equations with perturbed input data. Such problem in many cases is incomparably more complicated. The book is devoted to a problem of construction of a pseudosolution (the problem of a parameter estimation) in the following fundamental sections of applied mathematics: confluent models passive, active and the every possible mixed experiments.

Advances in the Statistical Sciences: Foundations of Statistical Inference

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Publisher : Springer Science & Business Media
ISBN 13 : 9400947887
Total Pages : 295 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Advances in the Statistical Sciences: Foundations of Statistical Inference by : I.B. MacNeill

Download or read book Advances in the Statistical Sciences: Foundations of Statistical Inference written by I.B. MacNeill and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: On May 27-31, 1985, a series of symposia was held at The University of Western Ontario, London, Canada, to celebrate the 70th birthday of Pro fessor V. M. Joshi. These symposia were chosen to reflect Professor Joshi's research interests as well as areas of expertise in statistical science among faculty in the Departments of Statistical and Actuarial Sciences, Economics, Epidemiology and Biostatistics, and Philosophy. From these symposia, the six volumes which comprise the "Joshi Festschrift" have arisen. The 117 articles in this work reflect the broad interests and high quality of research of those who attended our conference. We would like to thank all of the contributors for their superb cooperation in helping us to complete this project. Our deepest gratitude must go to the three people who have spent so much of their time in the past year typing these volumes: Jackie Bell, Lise Constant, and Sandy Tarnowski. This work has been printed from "camera ready" copy produced by our Vax 785 computer and QMS Lasergraphix printers, using the text processing software TEX. At the initiation of this project, we were neophytes in the use of this system. Thank you, Jackie, Lise, and Sandy, for having the persistence and dedication needed to complete this undertaking.

Measurement Error Models

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Publisher : John Wiley & Sons
ISBN 13 : 0470317337
Total Pages : 474 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis Measurement Error Models by : Wayne A. Fuller

Download or read book Measurement Error Models written by Wayne A. Fuller and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. "The effort of Professor Fuller is commendable . . . [the book] provides a complete treatment of an important and frequently ignored topic. Those who work with measurement error models will find it valuable. It is the fundamental book on the subject, and statisticians will benefit from adding this book to their collection or to university or departmental libraries." -Biometrics "Given the large and diverse literature on measurement error/errors-in-variables problems, Fuller's book is most welcome. Anyone with an interest in the subject should certainly have this book." -Journal of the American Statistical Association "The author is to be commended for providing a complete presentation of a very important topic. Statisticians working with measurement error problems will benefit from adding this book to their collection." -Technometrics " . . . this book is a remarkable achievement and the product of impressive top-grade scholarly work." -Journal of Applied Econometrics Measurement Error Models offers coverage of estimation for situations where the model variables are observed subject to measurement error. Regression models are included with errors in the variables, latent variable models, and factor models. Results from several areas of application are discussed, including recent results for nonlinear models and for models with unequal variances. The estimation of true values for the fixed model, prediction of true values under the random model, model checks, and the analysis of residuals are addressed, and in addition, procedures are illustrated with data drawn from nearly twenty real data sets.

Nonlinear Regression

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Publisher : John Wiley & Sons
ISBN 13 : 0471725307
Total Pages : 768 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Nonlinear Regression by : George A. F. Seber

Download or read book Nonlinear Regression written by George A. F. Seber and published by John Wiley & Sons. This book was released on 2005-02-25 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Statistical Analysis of Measurement Error Models and Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821851179
Total Pages : 262 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Statistical Analysis of Measurement Error Models and Applications by : Philip J. Brown

Download or read book Statistical Analysis of Measurement Error Models and Applications written by Philip J. Brown and published by American Mathematical Soc.. This book was released on 1990 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Design of Experiments

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Publisher : CRC Press
ISBN 13 : 9780824772741
Total Pages : 336 pages
Book Rating : 4.7/5 (727 download)

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Book Synopsis Design of Experiments by : Santner

Download or read book Design of Experiments written by Santner and published by CRC Press. This book was released on 1984-07-30 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple comparisons; Selection and ranking; Estimation and testing.