R Package spGARCH

spGARCH: An R-Package for Spatial ARCH and GARCH Models

Otto, P. (2019): spGARCH: An R-Package for Spatial ARCH and GARCH Models. The R Journal 11(2) (DOI)

Abstract

In this paper, a general overview on spatial and spatiotemporal ARCH models is provided. In particular, we distinguish between three different spatial ARCH-type models. In addition to the original definition of Otto (2016), we introduce an logarithmic spatial ARCH model in this paper. For this new model, maximum-likelihood estimators for the parameters are proposed. In addition, we consider a new complex-valued definition of the spatial ARCH process. Moreover, spatial GARCH models are briefly discussed. From a practical point of view, the use of the R-package spGARCH is demonstrated. To be precise, we show how the proposed spatial ARCH models can be simulated and summarize the variety of spatial models, which can be estimated by the estimation functions provided in the package. Eventually, we apply all procedures to a real-data example.

The package is live on CRAN: https://cran.r-project.org/web/packages/spGARCH/index.html

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Research interests

I am interested in statistical data science and statistical methodology for data in multidimensional spaces, e.g., geo-referenced data. Most of my papers have one theory in common - Tobler's first law of geography: "everything is related to everything else, but near things are more related than distant things."