Spatial Invariance Principle and Unit Root Testing

26 Pages Posted: 6 Sep 2019 Last revised: 23 Aug 2021

See all articles by Michael Tseng

Michael Tseng

University of Central Florida

Gary Richardson

University of Central Florida

Date Written: August 30, 2019

Abstract

We obtain an invariance principle for two-dimensional Brownian sheet where the underlying random field need not be independent or stationary. The invariance principle is applied to obtain and analyze a frequency-domain test for spatial unit root against local-to-unity alternatives.

Keywords: Brownian sheet, m-dependent fields, Spatial unit root.

JEL Classification: C10

Suggested Citation

Tseng, Michael and Richardson, Gary, Spatial Invariance Principle and Unit Root Testing (August 30, 2019). Available at SSRN: https://ssrn.com/abstract=3445489 or http://dx.doi.org/10.2139/ssrn.3445489

Michael Tseng (Contact Author)

University of Central Florida ( email )

4000 Central Florida Blvd
Orlando, FL 32816-1400
United States

Gary Richardson

University of Central Florida ( email )

4000 Central Florida Blvd
Orlando, FL 32816-1400
United States

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