A Spatial Panel Structural Vector Autoregressive Model with Interactive Effects and Its Simulation

The existing spatial panel structural vector auto-regressive model can effectively capture the time and spatial dynamic dependence of endogenous variables. However, the hypothesis that the common factors have the same effect for all spatial units is unreasonable. Therefore, incorporating time effect...

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Main Authors: Yaqing Liu, Hongbing Ouyang, Xiaolu Wei
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/8/883
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author Yaqing Liu
Hongbing Ouyang
Xiaolu Wei
author_facet Yaqing Liu
Hongbing Ouyang
Xiaolu Wei
author_sort Yaqing Liu
collection DOAJ
description The existing spatial panel structural vector auto-regressive model can effectively capture the time and spatial dynamic dependence of endogenous variables. However, the hypothesis that the common factors have the same effect for all spatial units is unreasonable. Therefore, incorporating time effects, spatial effects, and time-individual effects, this paper develops a more general spatial panel structural vector autoregressive model with interactive effects (ISpSVAR) that can reflect the different effects of common factors on different spatial units. Additionally, based on whether or not the common factors can be observed, this paper proposes procedures to estimate ISpSVAR separately and studies the finite sample properties of estimators by Monte Carlo simulation. The simulation results show the effectiveness of the proposed ISpSVAR model and its estimation procedures.
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spelling doaj.art-b40a5126db074e9ab303fe8570e6d3862023-11-21T15:51:55ZengMDPI AGMathematics2227-73902021-04-019888310.3390/math9080883A Spatial Panel Structural Vector Autoregressive Model with Interactive Effects and Its SimulationYaqing Liu0Hongbing Ouyang1Xiaolu Wei2School of Medicine and Health Management, Tongji Medical College, Huazhong University of Science & Technology, Hangkong Road 13, Wuhan 430030, ChinaSchool of Economics, Huazhong University of Science & Technology and Wenhua College, Luoyu Road 1037, Wuhan 430074, ChinaSchool of Business, Hubei University, Youyi Road 368, Wuhan 430062, ChinaThe existing spatial panel structural vector auto-regressive model can effectively capture the time and spatial dynamic dependence of endogenous variables. However, the hypothesis that the common factors have the same effect for all spatial units is unreasonable. Therefore, incorporating time effects, spatial effects, and time-individual effects, this paper develops a more general spatial panel structural vector autoregressive model with interactive effects (ISpSVAR) that can reflect the different effects of common factors on different spatial units. Additionally, based on whether or not the common factors can be observed, this paper proposes procedures to estimate ISpSVAR separately and studies the finite sample properties of estimators by Monte Carlo simulation. The simulation results show the effectiveness of the proposed ISpSVAR model and its estimation procedures.https://www.mdpi.com/2227-7390/9/8/883spatial panel datastructural vector autoregressive modelinteractive effects
spellingShingle Yaqing Liu
Hongbing Ouyang
Xiaolu Wei
A Spatial Panel Structural Vector Autoregressive Model with Interactive Effects and Its Simulation
Mathematics
spatial panel data
structural vector autoregressive model
interactive effects
title A Spatial Panel Structural Vector Autoregressive Model with Interactive Effects and Its Simulation
title_full A Spatial Panel Structural Vector Autoregressive Model with Interactive Effects and Its Simulation
title_fullStr A Spatial Panel Structural Vector Autoregressive Model with Interactive Effects and Its Simulation
title_full_unstemmed A Spatial Panel Structural Vector Autoregressive Model with Interactive Effects and Its Simulation
title_short A Spatial Panel Structural Vector Autoregressive Model with Interactive Effects and Its Simulation
title_sort spatial panel structural vector autoregressive model with interactive effects and its simulation
topic spatial panel data
structural vector autoregressive model
interactive effects
url https://www.mdpi.com/2227-7390/9/8/883
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AT hongbingouyang aspatialpanelstructuralvectorautoregressivemodelwithinteractiveeffectsanditssimulation
AT xiaoluwei aspatialpanelstructuralvectorautoregressivemodelwithinteractiveeffectsanditssimulation
AT yaqingliu spatialpanelstructuralvectorautoregressivemodelwithinteractiveeffectsanditssimulation
AT hongbingouyang spatialpanelstructuralvectorautoregressivemodelwithinteractiveeffectsanditssimulation
AT xiaoluwei spatialpanelstructuralvectorautoregressivemodelwithinteractiveeffectsanditssimulation