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Dynamic Spatiotemporal ARCH Models: Small and Large Sample Results

Philipp Otto, Osman Doğan, Süleyman Taşpınar

arXiv 10 Dec 2023 · Statistics — Methodology · publishedAStA Advances in Statistical Analysis (2025)

arXiv:2312.05898 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper explores the estimation of a dynamic spatiotemporal autoregressive conditional heteroscedasticity (ARCH) model. The log-volatility term in this model can depend on (i) the spatial lag of the log-squared outcome variable, (ii) the time-lag of the log-squared outcome variable, (iii) the spatiotemporal lag of the log-squared outcome variable, (iv) exogenous variables, and (v) the unobserved heterogeneity across regions and time, i.e., the regional and time fixed effects. We examine the small and large sample properties of two quasi-maximum likelihood estimators and a generalized method of moments estimator for this model. We first summarize the theoretical properties of these estimators and then compare their finite sample properties through Monte Carlo simulations.

Citation extraction

8
references
28
in-text mentions
8
distinct cited
1
self-citations
6,040
main-text words

appendix boundary found by appendix_titled_section at “Appendix” · 93% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Lee, L.-F. and Yu, J (2010) Estimation of spatial autoregressive panel data models with fixed effects1.00093100%
2Otto, P., Do gan, O., and Ta spnar, S (2023) Dynamic spatiotemporal ARCH models self1.00083100%
3Lee, L.-F. L. and Yu, J (2014) Efficient GMM estimation of spatial dynamic panel data models with fixed effects0.73732100%
4Yu, J., de Jong, R., and Lee, L.-F (2008) Quasi-maximum likelihood estimators for spatial dynamic panel data with fixed effects when both n and T are large0.73732100%
5Lee, L.-F (2007) GMM and 2SLS estimation of mixed regressive, spatial autoregressive models0.64422100%
6Lee, P. M (2012) Bayesian Statistics : An Introduction0.40511100%
7Robinson, P. M (2009) Large-sample inference on spatial dependence0.40511100%
8Ta spnar, S., Do gan, O., Chae, J., and Bera, A. K (2021) Bayesian inference in spatial stochastic volatility models: An application to house price returns in Chicago0.40511100%

Showing the top 8 of 8 scored citations.