Interactive Effects Panel Data Models with General Factors and Regressors

Fuente: arXiv
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Main Authors: Peng, Bin, Su, Liangjun, Westerlund, Joakim, Yang, Yanrong
Format: Preprint
Published: 2021
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author Peng, Bin
Su, Liangjun
Westerlund, Joakim
Yang, Yanrong
author_facet Peng, Bin
Su, Liangjun
Westerlund, Joakim
Yang, Yanrong
contents This paper considers a model with general regressors and unobservable factors. An estimator based on iterated principal components is proposed, which is shown to be not only asymptotically normal and oracle efficient, but under certain conditions also free of the otherwise so common asymptotic incidental parameters bias. Interestingly, the conditions required to achieve unbiasedness become weaker the stronger the trends in the factors, and if the trending is strong enough unbiasedness comes at no cost at all. In particular, the approach does not require any knowledge of how many factors there are, or whether they are deterministic or stochastic. The order of integration of the factors is also treated as unknown, as is the order of integration of the regressors, which means that there is no need to pre-test for unit roots, or to decide on which deterministic terms to include in the model.
format Preprint
id arxiv_https___arxiv_org_abs_2111_11506
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Interactive Effects Panel Data Models with General Factors and Regressors
Peng, Bin
Su, Liangjun
Westerlund, Joakim
Yang, Yanrong
Econometrics
This paper considers a model with general regressors and unobservable factors. An estimator based on iterated principal components is proposed, which is shown to be not only asymptotically normal and oracle efficient, but under certain conditions also free of the otherwise so common asymptotic incidental parameters bias. Interestingly, the conditions required to achieve unbiasedness become weaker the stronger the trends in the factors, and if the trending is strong enough unbiasedness comes at no cost at all. In particular, the approach does not require any knowledge of how many factors there are, or whether they are deterministic or stochastic. The order of integration of the factors is also treated as unknown, as is the order of integration of the regressors, which means that there is no need to pre-test for unit roots, or to decide on which deterministic terms to include in the model.
title Interactive Effects Panel Data Models with General Factors and Regressors
topic Econometrics
url https://arxiv.org/abs/2111.11506