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Limit Theory under Network Dependence and Nonstationarity

Christis Katsouris

arXiv 2 Aug 2023 · Econometrics

arXiv:2308.01418 · PDF · DOI · OpenAlex · Extracted main text

Abstract

These lecture notes represent supplementary material for a short course on time series econometrics and network econometrics. We give emphasis on limit theory for time series regression models as well as the use of the local-to-unity parametrization when modeling time series nonstationarity. Moreover, we present various non-asymptotic theory results for moderate deviation principles when considering the eigenvalues of covariance matrices as well as asymptotics for unit root moderate deviations in nonstationary autoregressive processes. Although not all applications from the literature are covered we also discuss some open problems in the time series and network econometrics literature.

Citation extraction

119
references
172
in-text mentions
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distinct cited
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self-citations
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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
1Kojevnikov, D., Marmer, V., and Song, K (2021) Limit theorems for network dependent random variables0.69391100%
2Lee, J. H. and Song, K (2019) Stable limit theorems for empirical processes under conditional neighborhood dependence0.69361100%
3Andrews, D. W (1993) Tests for parameter instability and structural change with unknown change point0.64441100%
4Grnneberg, S. and Holcblat, B (2019) On partial-sum processes of armax residuals0.64441100%
5Magdalinos, T. and Phillips, P. C (2009) Limit theory for cointegrated systems with moderately integrated and moderately explosive regressors0.64441100%
6Phillips, P. C (1987) Time series regression with a unit root0.64441100%
7Stock, J. H (1991) Confidence intervals for the largest autoregressive root in us macroeconomic time series0.6443267%
8Grama, I. and Haeusler, E (2006) An asymptotic expansion for probabilities of moderate deviations for multivariate martingales0.64422100%
9Jansson, M. and Moreira, M. J (2006) Optimal inference in regression models with nearly integrated regressors0.58531100%
10Katsouris, C (2023) Predictability tests robust against parameter instability self0.58531100%

Showing the top 10 of 120 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Optimal Estimation Methodologies for Panel Data Regression Models0.64432
2Structural Analysis of Vector Autoregressive Models0.64422
3Robust Estimation in Network Vector Autoregression with Nonstationary Regressors0.64422