Stationarity with Occasionally Binding Constraints

Fuente: arXiv
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Autori principali: Duffy, James A., Mavroeidis, Sophocles, Wycherley, Sam
Natura: Preprint
Pubblicazione: 2023
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_version_ 1866916619685462016
author Duffy, James A.
Mavroeidis, Sophocles
Wycherley, Sam
author_facet Duffy, James A.
Mavroeidis, Sophocles
Wycherley, Sam
contents This paper studies a class of multivariate threshold autoregressive models, known as censored and kinked structural vector autoregressions (CKSVAR), which are notably able to accommodate series that are subject to occasionally binding constraints. We develop a set of sufficient conditions for the processes generated by a CKSVAR to be stationary, ergodic, and weakly dependent. Our conditions relate directly to the stability of the deterministic part of the model, and are therefore less conservative than those typically available for general vector threshold autoregressive (VTAR) models. Though our criteria refer to quantities, such as refinements of the joint spectral radius, that cannot feasibly be computed exactly, they can be approximated numerically to a high degree of precision.
format Preprint
id arxiv_https___arxiv_org_abs_2307_06190
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Stationarity with Occasionally Binding Constraints
Duffy, James A.
Mavroeidis, Sophocles
Wycherley, Sam
Econometrics
Statistics Theory
62M10 (Primary) 60G10, 60G65, 60J05 (Secondary)
This paper studies a class of multivariate threshold autoregressive models, known as censored and kinked structural vector autoregressions (CKSVAR), which are notably able to accommodate series that are subject to occasionally binding constraints. We develop a set of sufficient conditions for the processes generated by a CKSVAR to be stationary, ergodic, and weakly dependent. Our conditions relate directly to the stability of the deterministic part of the model, and are therefore less conservative than those typically available for general vector threshold autoregressive (VTAR) models. Though our criteria refer to quantities, such as refinements of the joint spectral radius, that cannot feasibly be computed exactly, they can be approximated numerically to a high degree of precision.
title Stationarity with Occasionally Binding Constraints
topic Econometrics
Statistics Theory
62M10 (Primary) 60G10, 60G65, 60J05 (Secondary)
url https://arxiv.org/abs/2307.06190