English

A 2-Dimensional Functional Central Limit Theorem for Non-stationary Dependent Random Fields

Probability 2019-10-08 v1 Econometrics

Abstract

We obtain an elementary invariance principle for multi-dimensional Brownian sheet where the underlying random fields are not necessarily independent or stationary. Possible applications include unit-root tests for spatial as well as panel data models.

Keywords

Cite

@article{arxiv.1910.02577,
  title  = {A 2-Dimensional Functional Central Limit Theorem for Non-stationary Dependent Random Fields},
  author = {Michael C. Tseng},
  journal= {arXiv preprint arXiv:1910.02577},
  year   = {2019}
}
R2 v1 2026-06-23T11:35:53.776Z