“…For further details see table 2. After normalization the set of indicators was weighted because the different sub-indices determine the territorial capital with different weight (Arbia, 2006). Subsequently the figures were corrected with the method of penalty for bottleneck.…”
Section: The Model Of Territorial Capitalmentioning
“…For further details see table 2. After normalization the set of indicators was weighted because the different sub-indices determine the territorial capital with different weight (Arbia, 2006). Subsequently the figures were corrected with the method of penalty for bottleneck.…”
Section: The Model Of Territorial Capitalmentioning
“…The main reason is the availability of more complete data sets in which units characterized by spatial features are observed over time. In general, a spatial panel data set contains more information and less multicollinearity among the variables than a cross-section spatial counterpart -see Anselin (1988Anselin ( , 2010, Elhorst (2014b) and Arbia (2014) for an introduction to this literature.…”
Panel Data Toolbox is a new package for MATLAB that includes functions to estimate the main econometric methods of balanced and unbalanced panel data analysis. The package includes code for the standard fixed, between and random effects estimation methods, as well as for the existing instrumental panels and a wide array of spatial panels. A full set of relevant tests is also included. This paper describes the methodology and implementation of the functions and illustrates their use with well-known examples. We perform numerical checks against other popular commercial and free software to show the validity of the results.
This study proposes a spatial extension of time series autoregressive conditional heteroskedasticity (ARCH) models to those for areal data. We call the spatially extended ARCH models as spatial ARCH (S-ARCH) models. S-ARCH models specify conditional variances given surrounding observations, which constitutes a good contrast with time series ARCH models that specify conditional variances given past observations. We estimate the parameters of S-ARCH models by a two-step procedure of least squares and the quasi maximum likelihood estimation, which are validated to be consistent and asymptotically normal. We demonstrate the empirical properties by simulation studies and real data analysis of land price data in Tokyo areas.
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