Mildly explosive autoregression with anti-persistent errors

An asymptotic distribution is derived for the least squares (LS) estimate of a first-order autoregression with a mildly explosive root and anti-persistent errors. While the sample moments depend on the Hurst parameter asymptotically, the Cauchy limiting distribution theory remains valid for the LS e...

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Main Authors: LUI, Yui Lim, YU, Jun, Jun YU
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Language:English
Published: Institutional Knowledge at Singapore Management University 2021
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Online Access:https://ink.library.smu.edu.sg/soe_research/2550
https://ink.library.smu.edu.sg/context/soe_research/article/3549/viewcontent/Antipersistence15.pdf
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spelling sg-smu-ink.soe_research-35492022-02-07T04:46:42Z Mildly explosive autoregression with anti-persistent errors LUI, Yui Lim YU, Jun Jun YU, An asymptotic distribution is derived for the least squares (LS) estimate of a first-order autoregression with a mildly explosive root and anti-persistent errors. While the sample moments depend on the Hurst parameter asymptotically, the Cauchy limiting distribution theory remains valid for the LS estimates in the model without intercept and a model with an asymptotically negligible intercept. Monte Carlo studies are designed to check the precision of the Cauchy distribution in finite samples. An empirical study based on the monthly NASDAQ index highlights the usefulness of the model and the new limiting distribution. 2021-04-01T07:00:00Z text application/pdf https://ink.library.smu.edu.sg/soe_research/2550 info:doi/10.1111/obes.12395 https://ink.library.smu.edu.sg/context/soe_research/article/3549/viewcontent/Antipersistence15.pdf http://creativecommons.org/licenses/by-nc-nd/4.0/ Research Collection School Of Economics eng Institutional Knowledge at Singapore Management University Anti-persistence unit root mildly explosive sequential limit theory bubble fractional integration Econometrics
institution Singapore Management University
building SMU Libraries
continent Asia
country Singapore
Singapore
content_provider SMU Libraries
collection InK@SMU
language English
topic Anti-persistence
unit root
mildly explosive
sequential limit theory
bubble
fractional integration
Econometrics
spellingShingle Anti-persistence
unit root
mildly explosive
sequential limit theory
bubble
fractional integration
Econometrics
LUI, Yui Lim
YU, Jun
Jun YU,
Mildly explosive autoregression with anti-persistent errors
description An asymptotic distribution is derived for the least squares (LS) estimate of a first-order autoregression with a mildly explosive root and anti-persistent errors. While the sample moments depend on the Hurst parameter asymptotically, the Cauchy limiting distribution theory remains valid for the LS estimates in the model without intercept and a model with an asymptotically negligible intercept. Monte Carlo studies are designed to check the precision of the Cauchy distribution in finite samples. An empirical study based on the monthly NASDAQ index highlights the usefulness of the model and the new limiting distribution.
format text
author LUI, Yui Lim
YU, Jun
Jun YU,
author_facet LUI, Yui Lim
YU, Jun
Jun YU,
author_sort LUI, Yui Lim
title Mildly explosive autoregression with anti-persistent errors
title_short Mildly explosive autoregression with anti-persistent errors
title_full Mildly explosive autoregression with anti-persistent errors
title_fullStr Mildly explosive autoregression with anti-persistent errors
title_full_unstemmed Mildly explosive autoregression with anti-persistent errors
title_sort mildly explosive autoregression with anti-persistent errors
publisher Institutional Knowledge at Singapore Management University
publishDate 2021
url https://ink.library.smu.edu.sg/soe_research/2550
https://ink.library.smu.edu.sg/context/soe_research/article/3549/viewcontent/Antipersistence15.pdf
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