Page 136 - Contributed Paper Session (CPS) - Volume 2
P. 136
CPS1461 Michal P. et. al
normalized test statistic allows us to omit the variance estimation and the
bootstrap technique overcomes the estimation of the correlation structure.
Hence, neither nuisance nor smoothing parameters are present in the whole
testing process, which makes it very simple for practical use. Moreover, the
whole stochastic theory behind requires relatively simple assumptions, which
are not too restrictive. The whole setup can be also modified by considering a
large panel size accounting also for situations with T tending to infinity.
Consequently, the whole theory would lead to convergences to functionals of
Gaussian processes with a covariance structure derived in a similar fashion as
for fixed and small T.
References
1. J. Bai (2010): Common breaks in means and variances for panel data. J.
Econometrics, 157, 78–92.
2. B.H. Baltagi, Q. Feng, and C. Kao (2016): Estimation of heterogeneous
panels with structural breaks. J. Econometrics, 191, 176–195.
3. J. Chan, L. Horváth, and M. Hus ̌ková (2013): Change-point detection in
panel data.´ J. Statist. Plann. Inference, 143, 955–970.
4. L. Horváth, and M. Hus ̌ková (2012): Change-point detection in panel
data. J. Time Series Anal., 33, 631–648.
5. D. Kim (2011): Estimating a common deterministic time trend break in
large panels with cross section dependence. J. Econometrics, 164, 310–
330.
6. M. Maciak, B. Pes ̌tová, and M. Pes ̌ta (2018): Structural breaks in
dependent, heteroscedastic, and extremal panelˇ data. Kybernetika, 54,
1106–1121.
7. M. Pesaran (2006): Estimation and inference in large heterogeneous
panels with a multifactor error structure. Econometrica, 74, 967–1012.
8. M. Pes ̌ta and M. Wendler (2018): Nuisance parameters free changepoint
detection in non-stationary series. arXiv:1808.01905.
9. B. Pes ̌tová and M. Pes ̌ta (2015): Testing structural changes in panel data
with small fixed panel size and bootstrap. Metrika, 78, 665–689.
10. B. Pes ̌tová and M. Pes ̌ta (2017): Change point estimation in panel data
without boundary issue. Risks, 5, 7.
11. J. Qian and L. Su (2016): Shrinkage estimation of regression models with
multiple structural changes. Econometric Theory, 32, 1376–1433.
12. S. De Watcher and E. Tzavalis (2012): Detection of structural breaks in
linear dynamic panel data models. Comput. Statist. Data Anal., 56, 3020–
3034.
125 | I S I W S C 2 0 1 9