On the covariance matrix estimators of the white noise process of a vector autoregressive model

1994 ◽  
Vol 23 (1) ◽  
pp. 249-256 ◽  
Author(s):  
ByoungSeon Choi
Keyword(s):  
White Noise ◽  
Covariance Matrix ◽  
Autoregressive Model ◽  
Vector Autoregressive Model ◽  
White Noise Process ◽  
Vector Autoregressive ◽  
Noise Process

scholarly journals Modelling Inflation Sectors in Indonesia Using Vector Autoregressive (VAR)

2019 ◽  
Vol 20 (1) ◽  
pp. 47
Author(s):  
Alan Prahutama ◽  
S. Suparti ◽  
Dwi Ispriyanti ◽  
Tiani Wahyu Utami
Keyword(s):  
Time Series ◽  
White Noise ◽  
Granger Causality ◽  
Autoregressive Model ◽  
Vector Autoregressive Model ◽  
Vector Autoregressive

Analisis time series dapat dibagi menjadi dua yaitu analisis time series univariat dan analisis time series multivariat. Analisis time series univariat salah satunya menggunakan ARIMA, sedangkan analisis time series multivariat dapat menggunakan VAR. VAR merupakan pemodelan persamaan simultan yang memiliki beberapa variabel endogen secara bersamaan. Asumsi dalam model VAR antara lain terjadi kausalitas antar variabel (kausalitas Granger), residual white noise dan berdistribusi normal multivariat. Pada paper ini, metode VAR diimplementasikan dalam memodelkan sektor-sektor Inflasi di Indonesia. Adapun sektor-sektor tersebut antara lain sektor makanan (Y1t),Sektor Makanan Jadi, Minuman, Rokok dan Tembakau (Y2), Sektor perumahan, listrik, air, gas dan bahan bakar (Y3), Sektor Sandang (Y4), Sektor Kesehatan (Y5), Sektor Pendidikan dan Olahraga (Y6), Sektor Transportasi, Komunikasi dan Jasa Keuangan (Y7). Hasilnya adalah tidak semua variabel sektor inflasi berpengaruh terhadap sektor lainnya. Hanya beberapa variabel yang berpengaruh terhadap suatu sektor. Asumsi kausalitas Granger tidak semua dipenuhi oleh semua variabel. Begitu juga dengan normal multivariat juga tidak terpenuhi. Akan tetapi residual model sudah white noise. Keywords: vector autoregressive model, sectors of inflation, Granger Causality.

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

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 883
Author(s):  
Yaqing Liu ◽  
Hongbing Ouyang ◽  
Xiaolu Wei
Keyword(s):  
Autoregressive Model ◽  
Common Factors ◽  
Interactive Effects ◽  
Vector Autoregressive Model ◽  
Finite Sample ◽  
Vector Autoregressive ◽  
Spatial Panel ◽  
The Common ◽  
Structural Vector Autoregressive Model ◽  
Structural Vector

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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