English

Limit Theory under Network Dependence and Nonstationarity

Econometrics 2023-08-15 v4

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.

Keywords

Cite

@article{arxiv.2308.01418,
  title  = {Limit Theory under Network Dependence and Nonstationarity},
  author = {Christis Katsouris},
  journal= {arXiv preprint arXiv:2308.01418},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:1705.08413 by other authors

R2 v1 2026-06-28T11:46:50.055Z