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Unit Root Inference in Generally Trending and Cross-Correlated Fixed-T Panels

Robertson, Donald ; Sarafidis, Vasilis and Westerlund, Joakim LU (2018) In Journal of Business & Economic Statistics 36(3). p.493-504
Abstract

This article proposes a new panel unit root test based on the generalized method of moments approach for panels with a possibly small number of time periods, T, and a large number of cross-sectional units, N. In the model that we consider the deterministic trend function is essentially unrestricted and the errors obey a multifactor structure that allows for rich forms of unobserved heterogeneity. In spite of these allowances, the GMM estimator considered is shown to be asymptotically unbiased, (Formula presented.)-consistent, and asymptotically normal for all values of the autoregressive (AR) coefficient, ρ, including unity, making it a natural candidate for unit root inference. Results from our Monte Carlo study suggest that the... (More)

This article proposes a new panel unit root test based on the generalized method of moments approach for panels with a possibly small number of time periods, T, and a large number of cross-sectional units, N. In the model that we consider the deterministic trend function is essentially unrestricted and the errors obey a multifactor structure that allows for rich forms of unobserved heterogeneity. In spite of these allowances, the GMM estimator considered is shown to be asymptotically unbiased, (Formula presented.)-consistent, and asymptotically normal for all values of the autoregressive (AR) coefficient, ρ, including unity, making it a natural candidate for unit root inference. Results from our Monte Carlo study suggest that the asymptotic properties are borne out well in small samples. The implementation is illustrated by using a large sample of US banking institutions to test Gibrat’s Law.

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Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Business & Economic Statistics
volume
36
issue
3
pages
493 - 504
publisher
American Statistical Association
external identifiers
  • scopus:85018162563
ISSN
0735-0015
DOI
10.1080/07350015.2016.1191501
language
English
LU publication?
yes
id
71e2f1a8-a7ef-4dd3-a0b8-bae6d2de54f6
date added to LUP
2016-05-14 14:23:30
date last changed
2022-03-08 18:36:52
@article{71e2f1a8-a7ef-4dd3-a0b8-bae6d2de54f6,
  abstract     = {{<p>This article proposes a new panel unit root test based on the generalized method of moments approach for panels with a possibly small number of time periods, T, and a large number of cross-sectional units, N. In the model that we consider the deterministic trend function is essentially unrestricted and the errors obey a multifactor structure that allows for rich forms of unobserved heterogeneity. In spite of these allowances, the GMM estimator considered is shown to be asymptotically unbiased, (Formula presented.)-consistent, and asymptotically normal for all values of the autoregressive (AR) coefficient, ρ, including unity, making it a natural candidate for unit root inference. Results from our Monte Carlo study suggest that the asymptotic properties are borne out well in small samples. The implementation is illustrated by using a large sample of US banking institutions to test Gibrat’s Law.</p>}},
  author       = {{Robertson, Donald and Sarafidis, Vasilis and Westerlund, Joakim}},
  issn         = {{0735-0015}},
  language     = {{eng}},
  month        = {{07}},
  number       = {{3}},
  pages        = {{493--504}},
  publisher    = {{American Statistical Association}},
  series       = {{Journal of Business & Economic Statistics}},
  title        = {{Unit Root Inference in Generally Trending and Cross-Correlated Fixed-T Panels}},
  url          = {{http://dx.doi.org/10.1080/07350015.2016.1191501}},
  doi          = {{10.1080/07350015.2016.1191501}},
  volume       = {{36}},
  year         = {{2018}},
}