Some Limit Behaviors for the LS Estimators in Errors-in-variables Regression Model

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ISBN 13 :
Total Pages : pages
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Book Synopsis Some Limit Behaviors for the LS Estimators in Errors-in-variables Regression Model by : Shu Chen

Download or read book Some Limit Behaviors for the LS Estimators in Errors-in-variables Regression Model written by Shu Chen and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been a continuing interest among statisticians in the problem of regression models wherein the independent variables are measured with error and there is considerable literature on the subject. In the following report, we discuss the errors-in-variables regression model: yi = [Beta]0 + [Beta]1xi + [Beta]2zi + [Epsilon]i, Xi = xi + ui, Zi = zi + vi with i.i.d. errors ([Epsilon]i, ui, vi), for i = 1, 2 ..., n and find the least square estimators for the parameters of interest. Both weak and strong consistency for the least square estimators [b̂eta]0, [b̂eta]1, and [b̂eta]2 of the unknown parameters [Beta]0, [Beta]1, and [Beta]2 are obtained. Moreover, under regularity conditions, the asymptotic normalities of the estimators are reported.

An Interpretation of the Probability Limit of the Least Squares Estimator in Linear Models with Errors in Variables

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ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.:/5 (755 download)

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Book Synopsis An Interpretation of the Probability Limit of the Least Squares Estimator in Linear Models with Errors in Variables by : Arne Gabrielsen

Download or read book An Interpretation of the Probability Limit of the Least Squares Estimator in Linear Models with Errors in Variables written by Arne Gabrielsen and published by . This book was released on 1970 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Limiting Distribution of Least Squares in an Errors-in-variables Linear Regression Model

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ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (122 download)

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Book Synopsis The Limiting Distribution of Least Squares in an Errors-in-variables Linear Regression Model by : Leon Jay Gleser

Download or read book The Limiting Distribution of Least Squares in an Errors-in-variables Linear Regression Model written by Leon Jay Gleser and published by . This book was released on 1985 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Interpretation of the Proability Limit of the Least Square Estimator in Linear Models with Errors in Variables

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

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Book Synopsis An Interpretation of the Proability Limit of the Least Square Estimator in Linear Models with Errors in Variables by : Arne Gabrielsen

Download or read book An Interpretation of the Proability Limit of the Least Square Estimator in Linear Models with Errors in Variables written by Arne Gabrielsen and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Sciences

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Publisher : Walter de Gruyter
ISBN 13 : 3110883597
Total Pages : 353 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Statistical Sciences by : Volker Mammitzsch

Download or read book Statistical Sciences written by Volker Mammitzsch and published by Walter de Gruyter. This book was released on 2011-05-09 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

The Limiting Distribution of Least Squares in an Errors-in-variables Linear Regrssion Model

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ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis The Limiting Distribution of Least Squares in an Errors-in-variables Linear Regrssion Model by : L. J. Gleser

Download or read book The Limiting Distribution of Least Squares in an Errors-in-variables Linear Regrssion Model written by L. J. Gleser and published by . This book was released on 1985 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Work of Raymond J. Carroll

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Publisher : Springer
ISBN 13 : 3319058010
Total Pages : 599 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis The Work of Raymond J. Carroll by : Marie Davidian

Download or read book The Work of Raymond J. Carroll written by Marie Davidian and published by Springer. This book was released on 2014-06-06 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains Raymond J. Carroll's research and commentary on its impact by leading statisticians. Each of the seven main parts focuses on a key research area: Measurement Error, Transformation and Weighting, Epidemiology, Nonparametric and Semiparametric Regression for Independent Data, Nonparametric and Semiparametric Regression for Dependent Data, Robustness, and other work. The seven subject areas reviewed in this book were chosen by Ray himself, as were the articles representing each area. The commentaries not only review Ray’s work, but are also filled with history and anecdotes. Raymond J. Carroll’s impact on statistics and numerous other fields of science is far-reaching. His vast catalog of work spans from fundamental contributions to statistical theory to innovative methodological development and new insights in disciplinary science. From the outset of his career, rather than taking the “safe” route of pursuing incremental advances, Ray has focused on tackling the most important challenges. In doing so, it is fair to say that he has defined a host of statistics areas, including weighting and transformation in regression, measurement error modeling, quantitative methods for nutritional epidemiology and non- and semiparametric regression.

The Theory and Practice of Econometrics

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Publisher : John Wiley & Sons
ISBN 13 : 047189530X
Total Pages : 1062 pages
Book Rating : 4.4/5 (718 download)

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Book Synopsis The Theory and Practice of Econometrics by : George G. Judge

Download or read book The Theory and Practice of Econometrics written by George G. Judge and published by John Wiley & Sons. This book was released on 1991-01-16 with total page 1062 pages. Available in PDF, EPUB and Kindle. Book excerpt: This broadly based graduate-level textbook covers the major models and statistical tools currently used in the practice of econometrics. It examines the classical, the decision theory, and the Bayesian approaches, and contains material on single equation and simultaneous equation econometric models. Includes an extensive reference list for each topic.

Properties of Estimators of Errors-in-variables Regression Models

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ISBN 13 :
Total Pages : 121 pages
Book Rating : 4.:/5 (256 download)

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Book Synopsis Properties of Estimators of Errors-in-variables Regression Models by : Paul P. Gallo

Download or read book Properties of Estimators of Errors-in-variables Regression Models written by Paul P. Gallo and published by . This book was released on 1982 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Categorical Data Analysis for the Behavioral and Social Sciences

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Publisher : Taylor & Francis
ISBN 13 : 100038389X
Total Pages : 327 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Categorical Data Analysis for the Behavioral and Social Sciences by : Razia Azen

Download or read book Categorical Data Analysis for the Behavioral and Social Sciences written by Razia Azen and published by Taylor & Francis. This book was released on 2021-05-26 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring a practical approach with numerous examples, the second edition of Categorical Data Analysis for the Behavioral and Social Sciences focuses on helping the reader develop a conceptual understanding of categorical methods, making it a much more accessible text than others on the market. The authors cover common categorical analysis methods and emphasize specific research questions that can be addressed by each analytic procedure, including how to obtain results using SPSS, SAS, and R, so that readers are able to address the research questions they wish to answer. Each chapter begins with a "Look Ahead" section to highlight key content. This is followed by an in-depth focus and explanation of the relationship between the initial research question, the use of software to perform the analyses, and how to interpret the output substantively. Included at the end of each chapter are a range of software examples and questions to test knowledge. New to the second edition: The addition of R syntax for all analyses and an update of SPSS and SAS syntax. The addition of a new chapter on GLMMs. Clarification of concepts and ideas that graduate students found confusing, including revised problems at the end of the chapters. Written for those without an extensive mathematical background, this book is ideal for a graduate course in categorical data analysis taught in departments of psychology, educational psychology, human development and family studies, sociology, public health, and business. Researchers in these disciplines interested in applying these procedures will also appreciate this book’s accessible approach.

Central Limit Theorem and Consistency in Linear Regression

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ISBN 13 :
Total Pages : 1 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Central Limit Theorem and Consistency in Linear Regression by : FRIEDHELM. EICKER

Download or read book Central Limit Theorem and Consistency in Linear Regression written by FRIEDHELM. EICKER and published by . This book was released on 1960 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several asymptotic properties of the least squares estimators for the parameters in the linear regression model with non-identical, independent errors are derived with regard to infinitely increasing sample size. The notion of convergence of a sequence of random variables b on a set F is introduced and applied, i.e., the b depend functionally on an arbitrarily chosen sequence of random variables all of which are elements of the set F, and they converge for (over) each such sequence. If F is any set of random variables with zero means and bounded variances which contains at least one normal variable, then there exists a simple necessary and sufficient condition for the regression matrix X such that the estimators are consistent on F. For asymptotic normality of essentially these estimators on any subset G in the set of all zero-mean random variables whose variances exist, necessary and sufficient conditions are given both for X and the set G simultaneously to be fulfilled. This is the central limit theorem for the linear regression model. For the case of unknown error variances, a statistic is constructed, and sufficient conditions for X and G are given to assure its asymptotic normality on G. One important aspect of the theory developed is its non-parametric character and the width of the range of admitted error distributions. Some examples and illustrations are given. (Author).

Social Networks and Travel Behaviour

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Publisher : Routledge
ISBN 13 : 1317053656
Total Pages : 223 pages
Book Rating : 4.3/5 (17 download)

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Book Synopsis Social Networks and Travel Behaviour by : Matthias Kowald

Download or read book Social Networks and Travel Behaviour written by Matthias Kowald and published by Routledge. This book was released on 2016-03-03 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: In aiming to understand and model peoples’ out-of-home movements, the academic field of transport planning is confronted with two major challenges. Firstly, leisure travel is increasing in importance and is more complex and variable than work-related travel, being less rigid in temporal and spatial patterns and more influenced by external factors such as social contacts or weather conditions. Secondly, traditional aggregated transport models do not include any information on peoples’ social interactions or their personal social networks. In contrast, the recent development and availability of disaggregated models allows more detailed modelling of elements such as individual characteristics, motivations, constraints and travel costs, as well as a consideration of influences from an actor’s social environment. People travel not only within an infrastructure but also within a social structure. These two main factors have driven transport planners to focus on peoples’ interaction and their social network. In recent years there have been a remarkable number of data collection efforts in the field, surveying information on the link between travel behaviour and social motivation. Providing an overview of selected exemplary studies, this volume addresses the overlap between transport planning and methods of social network analysis; applied methods of social network analysis and related empirical results; and current challenges and new research questions in this field.

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 556 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Regression Analysis Under A Priori Parameter Restrictions

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Publisher : Springer Science & Business Media
ISBN 13 : 1461405742
Total Pages : 245 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Regression Analysis Under A Priori Parameter Restrictions by : Pavel S. Knopov

Download or read book Regression Analysis Under A Priori Parameter Restrictions written by Pavel S. Knopov and published by Springer Science & Business Media. This book was released on 2011-09-28 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses on the construction of regression models with linear and non-linear constrain inequalities from the theoretical point of view. Unlike previous publications, this volume analyses the properties of regression with inequality constrains, investigating the flexibility of inequality constrains and their ability to adapt in the presence of additional a priori information The implementation of inequality constrains improves the accuracy of models, and decreases the likelihood of errors. Based on the obtained theoretical results, a computational technique for estimation and prognostication problems is suggested. This approach lends itself to numerous applications in various practical problems, several of which are discussed in detail The book is useful resource for graduate students, PhD students, as well as for researchers who specialize in applied statistics and optimization. This book may also be useful to specialists in other branches of applied mathematics, technology, econometrics and finance

Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences

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Publisher : Routledge
ISBN 13 : 1134801017
Total Pages : 666 pages
Book Rating : 4.1/5 (348 download)

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Book Synopsis Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences by : Jacob Cohen

Download or read book Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences written by Jacob Cohen and published by Routledge. This book was released on 2013-06-17 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text on multiple regression is noted for its nonmathematical, applied, and data-analytic approach. Readers profit from its verbal-conceptual exposition and frequent use of examples. The applied emphasis provides clear illustrations of the principles and provides worked examples of the types of applications that are possible. Researchers learn how to specify regression models that directly address their research questions. An overview of the fundamental ideas of multiple regression and a review of bivariate correlation and regression and other elementary statistical concepts provide a strong foundation for understanding the rest of the text. The third edition features an increased emphasis on graphics and the use of confidence intervals and effect size measures, and an accompanying website with data for most of the numerical examples along with the computer code for SPSS, SAS, and SYSTAT, at www.psypress.com/9780805822236 . Applied Multiple Regression serves as both a textbook for graduate students and as a reference tool for researchers in psychology, education, health sciences, communications, business, sociology, political science, anthropology, and economics. An introductory knowledge of statistics is required. Self-standing chapters minimize the need for researchers to refer to previous chapters.

Principles of Econometrics

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Publisher : John Wiley & Sons
ISBN 13 : 1118452275
Total Pages : 1808 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Principles of Econometrics by : R. Carter Hill

Download or read book Principles of Econometrics written by R. Carter Hill and published by John Wiley & Sons. This book was released on 2018-02-21 with total page 1808 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Econometrics, Fifth Edition, is an introductory book for undergraduate students in economics and finance, as well as first-year graduate students in a variety of fields that include economics, finance, accounting, marketing, public policy, sociology, law, and political science. Students will gain a working knowledge of basic econometrics so they can apply modeling, estimation, inference, and forecasting techniques when working with real-world economic problems. Readers will also gain an understanding of econometrics that allows them to critically evaluate the results of others’ economic research and modeling, and that will serve as a foundation for further study of the field. This new edition of the highly-regarded econometrics text includes major revisions that both reorganize the content and present students with plentiful opportunities to practice what they have read in the form of chapter-end exercises.

Regression Diagnostics

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Publisher : SAGE Publications
ISBN 13 : 1544375212
Total Pages : 138 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Regression Diagnostics by : John Fox

Download or read book Regression Diagnostics written by John Fox and published by SAGE Publications. This book was released on 2019-12-09 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regression diagnostics are methods for determining whether a regression model that has been fit to data adequately represents the structure of the data. For example, if the model assumes a linear (straight-line) relationship between the response and an explanatory variable, is the assumption of linearity warranted? Regression diagnostics not only reveal deficiencies in a regression model that has been fit to data but in many instances may suggest how the model can be improved. The Second Edition of this bestselling volume by John Fox considers two important classes of regression models: the normal linear regression model (LM), in which the response variable is quantitative and assumed to have a normal distribution conditional on the values of the explanatory variables; and generalized linear models (GLMs) in which the conditional distribution of the response variable is a member of an exponential family. R code and data sets for examples within the text can be found on an accompanying website.