2021
DOI: 10.3390/jrfm14080366
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Spurious Relationships for Nearly Non-Stationary Series

Abstract: Literature shows that the regression of independent and (nearly) nonstationary time series could result in spurious outcomes. In this paper, we conjecture that under some situations, the regression of two independent and nearly non-stationary series does not have any spurious problem at all. To check whether our conjecture holds, we set up several situations and conduct simulations to justify our conjecture. Our simulations show that under some situations, the chance that the regressions being spurious is very… Show more

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Cited by 6 publications
(4 citation statements)
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“…This paper uses panel autoregressive distributed lag (ARDL) models to examine the effect of economic policy uncertainty, gold, oil, and Bitcoin prices on sustainable investment returns. Extensions of our paper could include using our approach to study other important issues, for example funding liquidity (Abbas et al 2021), examining four-moment modified value at risk and conditional value at risk (using Cornish-Fisher Expansion) of different mixed portfolios pairing the assets under study (equity-oil and equity-gold portfolios) (Ali et al 2021) and nearly non-stationary series (Cheng et al 2021). There are many important issues to which academics and practitioners could apply the approach used in this paper.…”
Section: Discussionmentioning
confidence: 99%
“…This paper uses panel autoregressive distributed lag (ARDL) models to examine the effect of economic policy uncertainty, gold, oil, and Bitcoin prices on sustainable investment returns. Extensions of our paper could include using our approach to study other important issues, for example funding liquidity (Abbas et al 2021), examining four-moment modified value at risk and conditional value at risk (using Cornish-Fisher Expansion) of different mixed portfolios pairing the assets under study (equity-oil and equity-gold portfolios) (Ali et al 2021) and nearly non-stationary series (Cheng et al 2021). There are many important issues to which academics and practitioners could apply the approach used in this paper.…”
Section: Discussionmentioning
confidence: 99%
“…Checking the stationarity properties of the data is a prerequisite for analyzing the cointegration. The regression estimates based on non-stationary data will generate spurious regression ( Cheng et al, 2021 ). Therefore, to obtain efficient estimates, we have analyzed the stationarity characteristics of the data.…”
Section: Methodology and Modelmentioning
confidence: 99%
“…We take into account two types of time series models, a pure AR(1) model and a AR(1) model with a constant or a constant plus linear time trend. Recently, the asymptotic inference for a least squares (LS) estimate when the autoregressive parameter is close to 1 (i.e., the series is nearly non-stationary) has been receiving considerable attention in the statistics and econometric literature, such as Chan [22] and Cheng [23]. Therefore, we are also interested in deriving the asymptotic behavior of the proposed test in the context of the near-unit root.…”
Section: Introductionmentioning
confidence: 99%