rsea_a_1742929_sm6460.pdf (51.9 kB)
Spatial extension of generalized autoregressive conditional heteroskedasticity models
journal contribution
posted on 2020-03-30, 09:56 authored by Takaki Sato, Yasumasa MatsudaThis paper proposes an extension of generalized autoregressive conditional heteroskedasticity (GARCH) models for a time series to those for spatial data, which are called here spatial GARCH (S-GARCH) models. S-GARCH models are re-expressed as spatial autoregressive moving-average (SARMA) models and a two-step procedure based on quasi-likelihood functions is proposed to estimate the parameters. The consistency and asymptotic normality are proven for the two-step estimators. S-GARCH models are applied to simulated and land-price data in areas of Tokyo to demonstrate the empirical properties.