Changepoint estimation for dependent and non-stationary panels
Applications of Mathematics, Tome 65 (2020) no. 3, pp. 299-310
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The changepoint estimation problem of a common change in panel means for a very general panel data structure is considered. The observations within each panel are allowed to be generally dependent and non-stationary. Simultaneously, the panels are weakly dependent and non-stationary among each other. The follow up period can be extremely short and the changepoint magnitudes may differ across the panels accounting also for a specific situation that some magnitudes are equal to zero (thus, no jump is present in such case). We introduce a novel changepoint estimator without a boundary issue meaning that it can estimate the change close to the extremities of the studied time interval. The consistency of the nuisance-parameter-free estimator is proved regardless of the presence/absence of the change in panel means under relatively simple conditions. Empirical properties of the proposed estimator are investigated through a simulation study.
DOI :
10.21136/AM.2020.0296-19
Classification :
62F10, 62H12, 62P05
Keywords: panel data; changepoint; change in means; estimation; dependence; non-stationarity; call options; non-life insurance
Keywords: panel data; changepoint; change in means; estimation; dependence; non-stationarity; call options; non-life insurance
@article{10_21136_AM_2020_0296_19,
author = {Pe\v{s}ta, Michal and Pe\v{s}tov\'a, Barbora and Maciak, Mat\'u\v{s}},
title = {Changepoint estimation for dependent and non-stationary panels},
journal = {Applications of Mathematics},
pages = {299--310},
publisher = {mathdoc},
volume = {65},
number = {3},
year = {2020},
doi = {10.21136/AM.2020.0296-19},
mrnumber = {4114254},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0296-19/}
}
TY - JOUR AU - Pešta, Michal AU - Peštová, Barbora AU - Maciak, Matúš TI - Changepoint estimation for dependent and non-stationary panels JO - Applications of Mathematics PY - 2020 SP - 299 EP - 310 VL - 65 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0296-19/ DO - 10.21136/AM.2020.0296-19 LA - en ID - 10_21136_AM_2020_0296_19 ER -
%0 Journal Article %A Pešta, Michal %A Peštová, Barbora %A Maciak, Matúš %T Changepoint estimation for dependent and non-stationary panels %J Applications of Mathematics %D 2020 %P 299-310 %V 65 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0296-19/ %R 10.21136/AM.2020.0296-19 %G en %F 10_21136_AM_2020_0296_19
Pešta, Michal; Peštová, Barbora; Maciak, Matúš. Changepoint estimation for dependent and non-stationary panels. Applications of Mathematics, Tome 65 (2020) no. 3, pp. 299-310. doi: 10.21136/AM.2020.0296-19
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