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Interactive Effects Panel Data Models with General Factors and Regressors

Westerlund, Joakim LU ; Su, Liangjun ; Peng, Bin and Yang, Yanrong (2023) In Econometric Theory
Abstract
This paper considers a model with general regressors and unobservable common factors. An estimator based on iterated principal component analysis is proposed, which is shown to be not only asymptotically normal, 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. 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... (More)
This paper considers a model with general regressors and unobservable common factors. An estimator based on iterated principal component analysis is proposed, which is shown to be not only asymptotically normal, 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. 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. (Less)
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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
epub
subject
in
Econometric Theory
publisher
Cambridge University Press
external identifiers
  • scopus:85170658733
ISSN
1469-4360
DOI
10.1017/S0266466623000270
language
English
LU publication?
yes
id
ce89a26b-0538-4a9c-8f96-5a52e8f0e35a
date added to LUP
2023-07-31 17:47:01
date last changed
2023-12-28 08:25:14
@article{ce89a26b-0538-4a9c-8f96-5a52e8f0e35a,
  abstract     = {{This paper considers a model with general regressors and unobservable common factors. An estimator based on iterated principal component analysis is proposed, which is shown to be not only asymptotically normal, 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. 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.}},
  author       = {{Westerlund, Joakim and Su, Liangjun and Peng, Bin and Yang, Yanrong}},
  issn         = {{1469-4360}},
  language     = {{eng}},
  publisher    = {{Cambridge University Press}},
  series       = {{Econometric Theory}},
  title        = {{Interactive Effects Panel Data Models with General Factors and Regressors}},
  url          = {{http://dx.doi.org/10.1017/S0266466623000270}},
  doi          = {{10.1017/S0266466623000270}},
  year         = {{2023}},
}