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Advances in Panel Data Econometrics: Theory and Practice

Paper Session

Sunday, Jan. 5, 2020 10:15 AM - 12:15 PM (PDT)

Marriott Marquis, Mission Hills
Hosted By: International Association of Applied Econometrics
  • Chair: M. Hashem Pesaran, University of Southern California

Network and Panel Quantile Effects Via Distribution Regression

Victor Chernozhukov
,
Massachusetts Institute of Technology
Mert Demirer
,
Massachusetts Institute of Technology
Esther Duflo
,
Massachusetts Institute of Technology
Iván Fernández-Val
,
Boston University

Abstract

This paper provides a method to construct simultaneous confidence bands for quantile functions and quantile effects in nonlinear network and panel models with unobserved two-way effects, strictly exogenous covariates, and possibly discrete outcome variables. The method is based upon projection of simultaneous confidence bands for distribution functions constructed from fixed effects distribution regression estimators. These fixed effects estimators are bias corrected to deal with the incidental parameter problem. Under asymptotic sequences where both dimensions of the data set grow at the same rate, the confidence bands for the quantile functions and effects have correct joint coverage in large samples. An empirical application to gravity models of trade illustrates the applicability of the methods to network data.

Transformed Estimation for Panel Interactive Effects Models

Cheng Hsiao
,
University of Southern California
Zhentao Shi
,
Chinese University of Hong Kong
Qiankun Zhou
,
Louisiana State University

Abstract

We propose a transformed quasi-maximum likelihood estimation (QMLE) for panel models with interactive effects. The alternative estimator doesn’t need to estimate the interactive effects in the model. It is computationally simple and is consistent and asymptotically normally distributed whether the regressors are exogenous or contain predetermined variables as long as either N or T goes to infinity. The finite sample performance of the transformed QMLE is examined through extensive simulations, and we find the alternative estimator works remarkably well in our designs, regardless of whether the model is static or dynamic, whether the common factors are stationary, cointegrated or structure changing, and whether the idiosyncratic errors are homoskedastic or heteroskedastic or weakly cross-sectionally dependent.

Variational Random-Effects for Panel Data

Stephane Bonhomme
,
University of Chicago
Thibaut Lamadon
,
University of Chicago

Abstract

A popular approach in panel data models is to specify the distribution of individual heterogeneity parametrically, and to approximate the integrated likelihood using numerical methods. In this paper we explore the use of Gaussian variational approximations, developed in machine learning, to simplify implementation in these settings. We study the frequentist properties of variational estimators as both N and T tend to infinity. We illustrate their finite sample performance through simulations.

Forecasting Using Cross-Section Average-Augmented Time Series Regressions

Joakim Westerlund
,
Lund University
Hande Karabiyik
,
Vrije University Amsterdam

Abstract

There is a large and growing literature concerned with forecasting time series variables using factor-augmented regression models. The workhorse of this literature is a two-step approach in which the factors are first estimated by applying the principal components method to a large panel of variables, and the forecast regression is estimated conditional on the first-step factor estimates. Another stream of research that has attracted much attention is that concerned with the use of cross-section averages as common factor estimates in interactive effects panel regression models. The main justification for this second development is the simplicity and good performance of the cross-section averages when compared to estimated principal component factors. In view of this, it is quite surprising that no one has yet considered the use of cross-section averages for forecasting. Indeed, given the purpose to forecast the conditional mean, the use of the cross-section average to estimate the factors is only natural. The present paper can be seen as a reaction to this. The purpose is to investigate the asymptotic and small-sample properties of forecasts based on cross-section average-augmented regressions. In contrast to existing studies, the investigation is carried out while allowing the number of factors to be known.
JEL Classifications
  • C1 - Econometric and Statistical Methods and Methodology: General
  • C5 - Econometric Modeling