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Model Selection Uniform Inference And Nonparametric Regression


Model Selection Uniform Inference And Nonparametric Regression
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Model Selection Uniform Inference And Nonparametric Regression


Model Selection Uniform Inference And Nonparametric Regression
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Author : Alexis De Boeck
language : en
Publisher:
Release Date : 2019

Model Selection Uniform Inference And Nonparametric Regression written by Alexis De Boeck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.




Model Selection And Inference


Model Selection And Inference
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Author : Kenneth P. Burnham
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Model Selection And Inference written by Kenneth P. Burnham 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 2013-11-11 with Mathematics categories.


Statisticians and applied scientists must often select a model to fit empirical data. This book discusses the philosophy and strategy of selecting such a model using the information theory approach pioneered by Hirotugu Akaike. This approach focuses critical attention on a priori modeling and the selection of a good approximating model that best represents the inference supported by the data. The book includes practical applications in biology and environmental science.



Nonparametric Model Selection


Nonparametric Model Selection
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Author : Maurizio Tiso
language : en
Publisher:
Release Date : 1999

Nonparametric Model Selection written by Maurizio Tiso and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.




Essays On Nonparametric Inference And Instrument Selection


Essays On Nonparametric Inference And Instrument Selection
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Author :
language : en
Publisher:
Release Date : 2016

Essays On Nonparametric Inference And Instrument Selection written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.


My dissertation consists of two chapters on nonparametric inference and model selection in econometric models. First chapter constructs inference methods for nonparametric series regression models and introduces tests based on the infimum of t-statistics over different series terms. First, I provide a uniform asymptotic theory for the t-statistic process indexed by the number of series terms. Using this result, I show that the test based on the infimum of the t-statistics and its asymptotic critical value controls the asymptotic size with the undersmoothing condition. We can construct a valid confidence interval (CI) by test statistic inversion that has correct asymptotic coverage probability. Even when asymptotic bias terms are present without the undersmoothing condition, I show that the CI based on the infimum of the t-statistics bounds the coverage distortions. In an illustrative example, nonparametric estimation of wage elasticity of the expected labor supply from Blomquist and Newey (2002), proposed CI is close to or tighter than those based on existing methods with possibly ad hoc choice of series terms. Second chapter provides instrument selection criteria in instrumental variable (IV) regression model when there is a large set of instruments with potential invalidity. Economic data identified by IV model sometimes involve large sets of potential instruments and debates about their validity. Existing methods for instrument selection are largely based on a priori assumption of an instrument's validity and/or based on the first-order asymptotics, which may lead to a large finite sample bias with many and invalid instruments. First, I derive higher-order mean square error (MSE) approximation for two-stage least squares (2SLS), limited information maximum likelihood (LIML), modified Fuller (FULL) and bias-adjusted 2SLS (B2SLS) estimator allowing locally invalid instruments. Based on the approximation to the higher-order MSE, I propose an invalidity-robust instrument selection criteria (IRC) that capture two sources of finite sample bias at the same time: bias from using many instruments and bias from invalid instruments. I also show optimality result of choice of instruments based on the criteria of Donald and Newey (2001) under certain locally invalid instruments specification.



Model Selection And Multimodel Inference


Model Selection And Multimodel Inference
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Author : Kenneth P. Burnham
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-28

Model Selection And Multimodel Inference written by Kenneth P. Burnham 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 2007-05-28 with Mathematics categories.


A unique and comprehensive text on the philosophy of model-based data analysis and strategy for the analysis of empirical data. The book introduces information theoretic approaches and focuses critical attention on a priori modeling and the selection of a good approximating model that best represents the inference supported by the data. It contains several new approaches to estimating model selection uncertainty and incorporating selection uncertainty into estimates of precision. An array of examples is given to illustrate various technical issues. The text has been written for biologists and statisticians using models for making inferences from empirical data.



Nonparametric Regression And Spline Smoothing Second Edition


Nonparametric Regression And Spline Smoothing Second Edition
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Author : Randall L. Eubank
language : en
Publisher: CRC Press
Release Date : 1999-02-09

Nonparametric Regression And Spline Smoothing Second Edition written by Randall L. Eubank and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-02-09 with Mathematics categories.


Provides a unified account of the most popular approaches to nonparametric regression smoothing. This edition contains discussions of boundary corrections for trigonometric series estimators; detailed asymptotics for polynomial regression; testing goodness-of-fit; estimation in partially linear models; practical aspects, problems and methods for confidence intervals and bands; local polynomial regression; and form and asymptotic properties of linear smoothing splines.



Regression And Time Series Model Selection


Regression And Time Series Model Selection
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Author : Allan D. R. McQuarrie
language : en
Publisher: World Scientific
Release Date : 1998

Regression And Time Series Model Selection written by Allan D. R. McQuarrie and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


This important book describes procedures for selecting a model from a large set of competing statistical models. It includes model selection techniques for univariate and multivariate regression models, univariate and multivariate autoregressive models, nonparametric (including wavelets) and semiparametric regression models, and quasi-likelihood and robust regression models. Information-based model selection criteria are discussed, and small sample and asymptotic properties are presented. The book also provides examples and large scale simulation studies comparing the performances of information-based model selection criteria, bootstrapping, and cross-validation selection methods over a wide range of models.



Model Selection


Model Selection
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Author : Parhasarathi Lahiri
language : en
Publisher: IMS
Release Date : 2001

Model Selection written by Parhasarathi Lahiri and has been published by IMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.




Nonparametric And Semiparametric Methods In Econometrics And Statistics


Nonparametric And Semiparametric Methods In Econometrics And Statistics
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Author : William A. Barnett
language : en
Publisher: Cambridge University Press
Release Date : 1991-06-28

Nonparametric And Semiparametric Methods In Econometrics And Statistics written by William A. Barnett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-06-28 with Business & Economics categories.


Papers from a 1988 symposium on the estimation and testing of models that impose relatively weak restrictions on the stochastic behaviour of data.



On Nonparametric Estimation And Inference With Censored Data Bandwidth Selection For Local Polynomial Regression And Subset Selection In Explanatory Regression Analyses


On Nonparametric Estimation And Inference With Censored Data Bandwidth Selection For Local Polynomial Regression And Subset Selection In Explanatory Regression Analyses
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Author : Derick Randall Peterson
language : en
Publisher:
Release Date : 1998

On Nonparametric Estimation And Inference With Censored Data Bandwidth Selection For Local Polynomial Regression And Subset Selection In Explanatory Regression Analyses written by Derick Randall Peterson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.