2006
DOI: 10.1155/jamds/2006/12314
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New variance ratio tests to identify random walk from the general mean reversion model

Abstract: We develop some properties on the autocorrelation of the k-period returns for the general mean reversion (GMR) process in which the stationary component is not restricted to the AR(1) process but takes the form of a general ARMA process. We then derive some properties of the GMR process and three new nonparametric tests comparing the relative variability of returns over different horizons to validate the GMR process as an alternative to random walk. We further examine the asymptotic properties of these tests w… Show more

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Cited by 15 publications
(13 citation statements)
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“…Promoters of behavioral biases, see, for example, Wong (2010, 2011, henceforth LLW) and the references therein developed several behavioral models to explain the overreaction and underreaction phenomena. In contrast with the efficient market theory (Lam, Wong, and Wong, 2006;Lean, McAleer, and Wong, 2010), these models suggest that sophisticated investors may earn superior returns by taking advantage of underreaction and overreaction without assuming extra risk.…”
Section: Introductionmentioning
confidence: 85%
“…Promoters of behavioral biases, see, for example, Wong (2010, 2011, henceforth LLW) and the references therein developed several behavioral models to explain the overreaction and underreaction phenomena. In contrast with the efficient market theory (Lam, Wong, and Wong, 2006;Lean, McAleer, and Wong, 2010), these models suggest that sophisticated investors may earn superior returns by taking advantage of underreaction and overreaction without assuming extra risk.…”
Section: Introductionmentioning
confidence: 85%
“…Penm, Terrell, Wong (2003) present simulations and an application that demonstrates the usefulness of the zero-non-zero patterned vector error-correction models (VECMs). Lam, Wong, and Wong (2006) develop some properties on the autocorrelation of the k-period returns for the general mean reversion (GMR) process in which the stationary component is not restricted to the AR(1) process but takes the form of a general ARMA process. Bai, Wong, and Zhang (2010) develop a nonlinear causality test in multivariate settings.…”
Section: Statistical and Econometric Modelsmentioning
confidence: 99%
“…present simulations and an application that demonstrate the usefulness of the ZNZ patterned VECM. Lam et al (2006) develop some properties on the autocorrelation of the k-period returns for the general mean reversion (GMR) process, in which the stationary component is not restricted to the AR(1) process but takes the form of a general autoregressive-moving-average (ARMA) process. The authors derive some properties of the GMR process and three new nonparametric tests that compare the relative variability of returns over different horizons to validate the GMR process as an alternative to a random walk.…”
Section: Unit Roots Cointegration Causality Tests and Nonlinearitymentioning
confidence: 99%