Fractionally integrated curve time series with cointegration

Fuente: arXiv
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Hauptverfasser: Seo, Won-Ki, Shang, Han Lin
Format: Preprint
Veröffentlicht: 2022
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author Seo, Won-Ki
Shang, Han Lin
author_facet Seo, Won-Ki
Shang, Han Lin
contents We introduce methods and theory for fractionally cointegrated curve time series. We develop a variance-ratio test to determine the dimensions associated with the nonstationary and stationary subspaces. For each subspace, we apply a local Whittle estimator to estimate the long-memory parameter and establish its consistency. A Monte Carlo study of finite-sample performance is included, along with two empirical applications.
format Preprint
id arxiv_https___arxiv_org_abs_2212_04071
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Fractionally integrated curve time series with cointegration
Seo, Won-Ki
Shang, Han Lin
Statistics Theory
37M10, 62F03
We introduce methods and theory for fractionally cointegrated curve time series. We develop a variance-ratio test to determine the dimensions associated with the nonstationary and stationary subspaces. For each subspace, we apply a local Whittle estimator to estimate the long-memory parameter and establish its consistency. A Monte Carlo study of finite-sample performance is included, along with two empirical applications.
title Fractionally integrated curve time series with cointegration
topic Statistics Theory
37M10, 62F03
url https://arxiv.org/abs/2212.04071