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Endogenous Econometric Models And Multi Stage Estimation In High Dimensional Settings
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Book Synopsis Endogenous Econometric Models and Multi-Stage Estimation in High-Dimensional Settings by : Ying Zhu
Download or read book Endogenous Econometric Models and Multi-Stage Estimation in High-Dimensional Settings written by Ying Zhu and published by . This book was released on 2015 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Econometric models based on observational data are often endogenous due to measurement error, autocorrelated errors, simultaneity and omitted variables, non-random sampling, self-selection, etc. Parameter estimates of these models without corrective measures may be inconsistent. The potential high-dimensional feature of these models (where the dimension of the parameters of interests is comparable to or even larger than the sample size) further complicates the statistical estimation and inference. My dissertation studies two different types of high-dimensional endogenous econometrics problems in depth and develops statistical tools together with their theoretical guarantees. The first essay in this dissertation explores the validity of the two-stage regularized least squares estimation procedure for sparse linear models in high-dimensional settings with possibly many endogenous regressors. The second essay is focused on the semiparametric sample selection model in high-dimensional settings under a weak nonparametric restriction on the form of the selection correction, for which a multi-stage projection-based regularized procedure is proposed. The number of regressors in the main equation, p, and the number of regressors in the first-stage equation, d, can grow with and exceed the sample size n in the respective models. The analysis considers the sparsity case where the number of non-zero components in the vectors of coefficients is bounded above by some integer which is allowed to grow with n but slowly compared to n, or the vectors of coefficients can be approximated by exactly sparse vectors. Simulations are conducted to gain insight on the small-sample performance of these high-dimensional multi-stage estimators. The proposed estimators in the second essay are also applied to study the pricing decisions of the gasoline retailers in the Greater Saint Louis area. The main theoretical results of both essays are finite-sample bounds from which sufficient scaling conditions on the sample size for estimation consistency and variable selection consistency (i.e., the multi-stage high-dimensional estimation procedures correctly select the non-zero coefficients in the main equation with high probability) are established. A technical issue regarding the so-called "restricted eigenvalue (RE) condition" for estimation consistency and the "mutual incoherence (MI) condition" for selection consistency arises in these multi-stage estimation procedures from allowing the number of regressors in the main equation to exceed n and this paper provides analysis to verify these RE and MI conditions. In particular, for the semiparametric sample selection model, these verifications also provide a finite-sample guarantee of the population identification condition required by the semiparametric sample selection models. In the second essay, statistical efficiency of the proposed estimators is studied via lower bounds on minimax risks and the result shows that, for a family of models with exactly sparse structure on the coefficient vector in the main equation, one of the proposed estimators attains the smallest estimation error up to the (n, d, p)-scaling among a class of procedures in worst-case scenarios. Inference procedures for the coefficients of the main equation, one based on a pivotal Dantzig selector to construct non-asymptotic confidence sets and one based on a post-selection strategy (when perfect or near-perfect selection of the high-dimensional coefficients is achieved), are discussed. Other theoretical contributions of this essay include establishing the non-asymptotic counterpart of the familiar asymptotic "oracle" type of results from previous literature: the estimator of the coefficients in the main equation behaves as if the unknown nonparametric component were known, provided the nonparametric component is sufficiently smooth.
Book Synopsis Dealing with Endogeneity in Regression Models with Dynamic Coefficients by : Chang-Jin Kim
Download or read book Dealing with Endogeneity in Regression Models with Dynamic Coefficients written by Chang-Jin Kim and published by Now Publishers Inc. This book was released on 2010 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this monograph is to present a unified econometric framework for dealing with the issues of endogeneity in Markov-switching models and time-varying parameter models, as developed by Kim (2004, 2006, 2009), Kim and Nelson (2006), Kim et al. (2008), and Kim and Kim (2009). While Cogley and Sargent (2002), Primiceri (2005), Sims and Zha (2006), and Sims et al. (2008) consider estimation of simultaneous equations models with stochastic coefficients as a system, we deal with the LIML (limited information maximum likelihood) estimation of a single equation of interest out of a simultaneous equations model. Our main focus is on the two-step estimation procedures based on the control function approach, and we show how the problem of generated regressors can be addressed in second-step regressions.
Book Synopsis Problems of Building and Estimation of Large Econometric Models by :
Download or read book Problems of Building and Estimation of Large Econometric Models written by and published by . This book was released on 1990 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Econometric Models and Economic Forecasts by : Robert S. Pindyck
Download or read book Econometric Models and Economic Forecasts written by Robert S. Pindyck and published by . This book was released on 1998 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated edition of the text has been restructured into four parts: multiple regression model; single-equation regression models; revised exposition and a small macroeconomic model; and a revised treatment of time-series analysis.
Book Synopsis Estimation of Dynamic Econometric Models with Errors in Variables by : Jaime Terceiro Lomba
Download or read book Estimation of Dynamic Econometric Models with Errors in Variables written by Jaime Terceiro Lomba and published by Springer. This book was released on 1990 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Econometric Models For Industrial Organization by : Matthew Shum
Download or read book Econometric Models For Industrial Organization written by Matthew Shum and published by World Scientific. This book was released on 2016-12-14 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic Models for Industrial Organization focuses on the specification and estimation of econometric models for research in industrial organization. In recent decades, empirical work in industrial organization has moved towards dynamic and equilibrium models, involving econometric methods which have features distinct from those used in other areas of applied economics. These lecture notes, aimed for a first or second-year PhD course, motivate and explain these econometric methods, starting from simple models and building to models with the complexity observed in typical research papers. The covered topics include discrete-choice demand analysis, models of dynamic behavior and dynamic games, multiple equilibria in entry games and partial identification, and auction models.
Book Synopsis Small Sample Estimation and Stochastic Simulation of an Econometric Model by : Monica Ahlstedt
Download or read book Small Sample Estimation and Stochastic Simulation of an Econometric Model written by Monica Ahlstedt and published by . This book was released on 1986 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis High Dimensional Econometrics and Identification by : Chihwa Kao
Download or read book High Dimensional Econometrics and Identification written by Chihwa Kao and published by World Scientific Publishing Company. This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many applications of econometrics and economics, a large proportion of the questions of interest are identification. An economist may be interested in uncovering the true signal when the data could be very noisy, such as time-series spurious regression and weak instruments problems, to name a few. In this book, High Dimensional Econometrics and Identification, we illustrate the true signal and, hence, identification can be recovered even with noisy data in high-dimensional data, e.g., large panels. High-dimensional data in econometrics is the rule rather than the exception. One of the tools to analyze large, high-dimensional data is the panel data model. High Dimensional Econometrics and Identification grew out of research work on the identification and high-dimensional econometrics that we have collaborated on over the years, and it aims to provide an up-to-date presentation of the issues of identification and high-dimensional econometrics, as well as insights into the use of these results in empirical studies. This book is designed for high-level graduate courses in econometrics and statistics, as well as used as a reference for researchers.
Book Synopsis Inference for High-dimensional Sparse Econometric Models by : Alexandre Belloni
Download or read book Inference for High-dimensional Sparse Econometric Models written by Alexandre Belloni and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This article is about estimation and inference methods for high dimensional sparse (HDS) regression models in econometrics. High dimensional sparse models arise in situations where many regressors (or series terms) are available and the regression function is well-approximated by a parsimonious, yet unknown set of regressors. The latter condition makes it possible to estimate the entire regression function effectively by searching for approximately the right set of regressors. We discuss methods for identifying this set of regressors and estimating their coefficients based on l1 -penalization and describe key theoretical results. In order to capture realistic practical situations, we expressly allow for imperfect selection of regressors and study the impact of this imperfect selection on estimation and inference results. We focus the main part of the article on the use of HDS models and methods in the instrumental variables model and the partially linear model. We present a set of novel inference results for these models and illustrate their use with applications to returns to schooling and growth regression. -- inference under imperfect model selection ; structural effects ; high-dimensional econometrics ; instrumental regression ; partially linear regression ; returns-to-schooling ; growth regression
Book Synopsis Structural Econometric Models by : Eugene Choo
Download or read book Structural Econometric Models written by Eugene Choo and published by Emerald Group Publishing. This book was released on 2013-12-18 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on recent developments in the use of structural econometric models in empirical economics. The first part looks at recent developments in the estimation of dynamic discrete choice models. The second part looks at recent advances in the area empirical matching models.
Book Synopsis Econometric Modelling and Forecasting of Tourism Demand by : Doris Chenguang Wu
Download or read book Econometric Modelling and Forecasting of Tourism Demand written by Doris Chenguang Wu and published by Taylor & Francis. This book was released on 2022-10-27 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This insightful and timely volume provides a succinct, expert-led introduction to the latest developments in advanced econometric methodologies in the context of tourism demand modelling and forecasting. Written by a plethora of worldwide experts on this topic, this book offers a comprehensive approach to tourism econometrics. Accurate demand forecasts are crucial to decision-making in the tourism industry and this book provides real-life tourism applications and the corresponding R code alongside theoretical foundations, in order to enhance understanding and practice amongst its readers. The methodologies introduced include general to specific modelling, cointegration, vector autoregression, time-varying parameter modelling, spatiotemporal econometric models, mixed-frequency forecasting, hybrid forecasting models, forecasting combination techniques, density forecasting, judgemental forecasting, scenario forecasting under crisis, and web-based tourism forecasting. Embellished with insightful figures and tables throughout, this book is an invaluable resource for those using advanced econometric methodologies in their studies and research, including both undergraduate and postgraduate students, researchers, and practitioners.
Book Synopsis Microeconometrics by : A. Colin Cameron
Download or read book Microeconometrics written by A. Colin Cameron and published by Cambridge University Press. This book was released on 2005-05-09 with total page 1058 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the most comprehensive treatment to date of microeconometrics, the analysis of individual-level data on the economic behavior of individuals or firms using regression methods for cross section and panel data. The book is oriented to the practitioner. A basic understanding of the linear regression model with matrix algebra is assumed. The text can be used for a microeconometrics course, typically a second-year economics PhD course; for data-oriented applied microeconometrics field courses; and as a reference work for graduate students and applied researchers who wish to fill in gaps in their toolkit. Distinguishing features of the book include emphasis on nonlinear models and robust inference, simulation-based estimation, and problems of complex survey data. The book makes frequent use of numerical examples based on generated data to illustrate the key models and methods. More substantially, it systematically integrates into the text empirical illustrations based on seven large and exceptionally rich data sets.
Book Synopsis Large-dimensional Panel Data Econometrics: Testing, Estimation And Structural Changes by : Feng Qu
Download or read book Large-dimensional Panel Data Econometrics: Testing, Estimation And Structural Changes written by Feng Qu and published by World Scientific. This book was released on 2020-08-24 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to fill the gap between panel data econometrics textbooks, and the latest development on 'big data', especially large-dimensional panel data econometrics. It introduces important research questions in large panels, including testing for cross-sectional dependence, estimation of factor-augmented panel data models, structural breaks in panels and group patterns in panels. To tackle these high dimensional issues, some techniques used in Machine Learning approaches are also illustrated. Moreover, the Monte Carlo experiments, and empirical examples are also utilised to show how to implement these new inference methods. Large-Dimensional Panel Data Econometrics: Testing, Estimation and Structural Changes also introduces new research questions and results in recent literature in this field.
Book Synopsis The Palgrave Companion to LSE Economics by : Robert A. Cord
Download or read book The Palgrave Companion to LSE Economics written by Robert A. Cord and published by Springer. This book was released on 2019-01-18 with total page 949 pages. Available in PDF, EPUB and Kindle. Book excerpt: The London School of Economics (LSE) has been and continues to be one of the most important global centres for economics. With six chapters on themes in LSE economics and 29 chapters on the lives and work of LSE economists, this volume shows how economics became established at the School, how it produced some of the world’s best-known economists, including Lionel Robbins and Bill Phillips, plus Nobel Prize winners, such as Friedrich Hayek, John Hicks and Christopher Pissarides, and how it remains a global force for the very best in teaching and research in economics. With original contributions from a stellar cast, this volume provides economists – especially those interested in macroeconomics and the history of economic thought – with the first in-depth analysis of LSE economics.
Book Synopsis Partially Linear Models by : Wolfgang Härdle
Download or read book Partially Linear Models written by Wolfgang Härdle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last ten years, there has been increasing interest and activity in the general area of partially linear regression smoothing in statistics. Many methods and techniques have been proposed and studied. This monograph hopes to bring an up-to-date presentation of the state of the art of partially linear regression techniques. The emphasis is on methodologies rather than on the theory, with a particular focus on applications of partially linear regression techniques to various statistical problems. These problems include least squares regression, asymptotically efficient estimation, bootstrap resampling, censored data analysis, linear measurement error models, nonlinear measurement models, nonlinear and nonparametric time series models.
Book Synopsis Evaluation of Econometric Models by : Jan Kmenta
Download or read book Evaluation of Econometric Models written by Jan Kmenta and published by Academic Press. This book was released on 2014-05-10 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evaluation of Econometric Models presents approaches to assessing and enhancing the progress of applied economic research. This book discusses the problems and issues in evaluating econometric models, use of exploratory methods in economic analysis, and model construction and evaluation when theoretical knowledge is scarce. The data analysis by partial least squares, prediction analysis of economic models, and aggregation and disaggregation of nonlinear equations are also elaborated. This text likewise covers the comparison of econometric models by optimal control techniques, role of time series analysis in econometric model evaluation, and hypothesis testing in spectral regression. Other topics include the relevance of laboratory experiments to testing resource allocation theory and token economy and animal models for the experimental analysis of economic behavior. This publication is intended for students and researchers interested in evaluating econometric models.
Book Synopsis The Oxford Handbook of Applied Nonparametric and Semiparametric Econometrics and Statistics by : Jeffrey Racine
Download or read book The Oxford Handbook of Applied Nonparametric and Semiparametric Econometrics and Statistics written by Jeffrey Racine and published by Oxford University Press. This book was released on 2013-12-31 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, edited by Jeffrey Racine, Liangjun Su, and Aman Ullah, contains the latest research on nonparametric and semiparametric econometrics and statistics. These data-driven models seek to replace the classical parametric models of the past, which were rigid and often linear. Chapters by leading international econometricians and statisticians highlight the interface between econometrics and statistical methods for nonparametric and semiparametric procedures. They provide a balanced view of new developments in the modeling of cross-section, time series, panel, and spatial data. Topics of the volume include: the methodology of semiparametric models and special regressor methods; inverse, ill-posed, and well-posed problems; methodologies related to additive models; sieve regression, nonparametric and semiparametric regression, and the true error of competing approximate models; support vector machines and their modeling of default probability; series estimation of stochastic processes and their application in Econometrics; identification, estimation, and specification problems in semilinear time series models; nonparametric and semiparametric techniques applied to nonstationary or near nonstationary variables; the estimation of a set of regression equations; and a new approach to the analysis of nonparametric models with exogenous treatment assignment.
