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Quasi ML Estimation of the Panel AR(1) Model with Additional Regressors

Quasi ML Estimation of the Panel AR(1) Model with Additional Regressors
Author: Hugo Kruiniger
Publisher:
Total Pages: 38
Release: 2019
Genre:
ISBN:

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In this paper we discuss several limited information (LI) and full information (FI) random effects and fixed effects Quasi ML estimators (MLEs) for panel AR(1) models with additional regressors. We also consider related GMM estimators. All estimators are consistent for short (large N, fixed T) panels. The models allow for arbitrary initial conditions and heteroskedasticity and are extensions and generalizations of the models considered in Kruiniger (2013. Quasi ML estimation of the panel AR(1) model with arbitrary initial conditions. Journal of Econometrics 173, 175-188). Among other things, we distinguish between the case where the regressors are strictly exogenous, the case where some of them are predetermined with respect to the idiosyncratic errors, including the case where they are weakly exogenous, and the case where some regressors are contemporaneously correlated with the idiosyncratic errors; we consider the possibility that the regressors are correlated with the individual effects; and we discuss estimation of models with time-varying individual effects. We also discuss how to choose between a random effects and a fixed effects approach. When the distribution of the data is correctly specified, the LI MLEs have better finite sample properties than the corresponding GMM estimators and when the time-dimension, T, is not small relative to the cross-section dimension, N, Wald tests based on the QMLEs have better size properties than GMM based Wald tests. Finally, the LI QMLEs for dynamic models with additional predetermined regressors are more easily computed and more precise than the ss-LIMLE of Moral-Benito (2013. Likelihood-based estimation of dynamic panels with predetermined regressors. Journal of Business & Economic Statistics 31, 451-472) and also more easily computed and in finite samples often more precise than the FI QMLEs.


The Oxford Handbook of Panel Data

The Oxford Handbook of Panel Data
Author: Badi Hani Baltagi
Publisher:
Total Pages: 705
Release: 2015
Genre: Business & Economics
ISBN: 0199940045

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The Oxford Handbook of Panel Data examines new developments in the theory and applications of panel data. It includes basic topics like non-stationary panels, co-integration in panels, multifactor panel models, panel unit roots, measurement error in panels, incidental parameters and dynamic panels, spatial panels, nonparametric panel data, random coefficients, treatment effects, sample selection, count panel data, limited dependent variable panel models, unbalanced panel models with interactive effects and influential observations in panel data. Contributors to the Handbook explore applications of panel data to a wide range of topics in economics, including health, labor, marketing, trade, productivity, and macro applications in panels. This Handbook is an informative and comprehensive guide for both those who are relatively new to the field and for those wishing to extend their knowledge to the frontier. It is a trusted and definitive source on panel data, having been edited by Professor Badi Baltagi-widely recognized as one of the foremost econometricians in the area of panel data econometrics. Professor Baltagi has successfully recruited an all-star cast of experts for each of the well-chosen topics in the Handbook.


Dynamic Linear Panel Regression Models with Interactive Fixed Effects

Dynamic Linear Panel Regression Models with Interactive Fixed Effects
Author: Hyungsik Roger Moon
Publisher:
Total Pages: 100
Release: 2014
Genre:
ISBN:

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We analyze linear panel regression models with interactive fixed effects and predetermined regressors, e.g. lagged-dependent variables. The first order asymptotic theory of the least squares (LS) estimator of the regression coefficients is worked out in the limit where both the cross sectional dimension and the number of time periods become large. We find that there are two sources of asymptotic bias of the LS estimator: bias due to correlation or heteroscedasticity of the idiosyncratic error term, and bias due to predetermined (as opposed to strictly exogenous) regressors. A bias corrected least squares estimator is provided. We also present bias corrected versions of the three classical test statistics (Wald, LR and LM test) and show that their asymptotic distribution is a x 2-distribution. Monte Carlo simulations show that the bias correction of the LS estimator and of the test statistics also work well for finite sample sizes.


Fixed Effects Regression Methods for Longitudinal Data Using SAS

Fixed Effects Regression Methods for Longitudinal Data Using SAS
Author: Paul D. Allison
Publisher:
Total Pages: 160
Release: 2019-07-12
Genre:
ISBN: 9781642953237

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Fixed Effects Regression Methods for Longitudinal Data Using SAS, written by Paul Allison, is an invaluable resource for all researchers interested in adding fixed effects regression methods to their tool kit of statistical techniques. First introduced by economists, fixed effects methods are gaining widespread use throughout the social sciences. Designed to eliminate major biases from regression models with multiple observations (usually longitudinal) for each subject (usually a person), fixed effects methods essentially offer control for all stable characteristics of the subjects, even characteristics that are difficult or impossible to measure. This straightforward and thorough text shows you how to estimate fixed effects models with several SAS procedures that are appropriate for different kinds of outcome variables. The theoretical background of each model is explained, and the models are then illustrated with detailed examples using real data. The book contains thorough discussions of the following uses of SAS procedures: PROC GLM for estimating fixed effects linear models for quantitative outcomes, PROC LOGISTIC for estimating fixed effects logistic regression models, PROC PHREG for estimating fixed effects Cox regression models for repeated event data, PROC GENMOD for estimating fixed effects Poisson regression models for count data, and PROC CALIS for estimating fixed effects structural equation models. To gain the most benefit from this book, readers should be familiar with multiple linear regression, have practical experience using multiple regression on real data, and be comfortable interpreting the output from a regression analysis. An understanding of logistic regression and Poisson regression is a plus. Some experience with SAS is helpful, but not required.


Half-Panel Jackknife Fixed Effects Estimation of Panels with Weakly Exogenous Regressor

Half-Panel Jackknife Fixed Effects Estimation of Panels with Weakly Exogenous Regressor
Author: Alexander Chudik
Publisher:
Total Pages: 70
Release: 2017
Genre:
ISBN:

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This paper considers estimation and inference in fixed effects (FE) panel regression models with lagged dependent variables and/or other weakly exogenous (or predetermined) regressors when NN (the cross section dimension) is large relative to TT (the time series dimension). The paper first derives a general formula for the bias of the FE estimator which is a generalization of the Nickell type bias derived in the literature for the pure dynamic panel data models. It shows that in the presence of weakly exogenous regressors, inference based on the FE estimator will result in size distortions unless NN/TT is sufficiently small. To deal with the bias and size distortion of FE estimator when NN is large relative to TT, the use of half-panel Jackknife FE estimator is proposed and its asymptotic distribution is derived. It is shown that the bias of the proposed estimator is of order TT -2, and for valid inference it is only required that NN/TT3 --> 0, as NN, TT --> 00 jointly. Extensions to panel data models with time effects (TE), for balanced as well as unbalanced panels, are also provided. The theoretical results are illustrated with Monte Carlo evidence. It is shown that the FE estimator can suffer from large size distortions when NN > TT, with the proposed estimator showing little size distortions. The use of half-panel jackknife FE-TE estimator is illustrated with two empirical applications from the literature.


Econometrics in Theory and Practice

Econometrics in Theory and Practice
Author: Panchanan Das
Publisher: Springer Nature
Total Pages: 565
Release: 2019-09-05
Genre: Business & Economics
ISBN: 9813290196

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This book introduces econometric analysis of cross section, time series and panel data with the application of statistical software. It serves as a basic text for those who wish to learn and apply econometric analysis in empirical research. The level of presentation is as simple as possible to make it useful for undergraduates as well as graduate students. It contains several examples with real data and Stata programmes and interpretation of the results. While discussing the statistical tools needed to understand empirical economic research, the book attempts to provide a balance between theory and applied research. Various concepts and techniques of econometric analysis are supported by carefully developed examples with the use of statistical software package, Stata 15.1, and assumes that the reader is somewhat familiar with the Strata software. The topics covered in this book are divided into four parts. Part I discusses introductory econometric methods for data analysis that economists and other social scientists use to estimate the economic and social relationships, and to test hypotheses about them, using real-world data. There are five chapters in this part covering the data management issues, details of linear regression models, the related problems due to violation of the classical assumptions. Part II discusses some advanced topics used frequently in empirical research with cross section data. In its three chapters, this part includes some specific problems of regression analysis. Part III deals with time series econometric analysis. It covers intensively both the univariate and multivariate time series econometric models and their applications with software programming in six chapters. Part IV takes care of panel data analysis in four chapters. Different aspects of fixed effects and random effects are discussed here. Panel data analysis has been extended by taking dynamic panel data models which are most suitable for macroeconomic research. The book is invaluable for students and researchers of social sciences, business, management, operations research, engineering, and applied mathematics.


Panel Data Econometrics

Panel Data Econometrics
Author: Manuel Arellano
Publisher: Oxford University Press
Total Pages: 244
Release: 2003
Genre: Business & Economics
ISBN: 0199245282

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Written by one of the world's leading experts on dynamic panel data reviews, this volume reviews most of the important topics in the subject. It deals with static models, dynamic models, discrete choice and related models.


Nonstationary Panels, Panel Cointegration, and Dynamic Panels

Nonstationary Panels, Panel Cointegration, and Dynamic Panels
Author: Badi H. Baltagi
Publisher: Elsevier
Total Pages: 351
Release: 2000
Genre: Business & Economics
ISBN: 0762306882

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In the 16th Edition of Advances in Econometrics we present twelve papers discussing the current interface between Marketing and Econometrics. The authors are leading scholars in the fields and introduce the latest models for analysing marketing data. The papers are representative of the types of problems and methods that are used within the field of marketing. Marketing focuses on the interaction between the firm and the consumer. Economics encompasses this interaction as well as many others. Economics, along with psychology and sociology, provides a theoretical foundation for marketing.