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来源类型Working Paper
规范类型报告
DOI10.3386/t0066
来源IDTechnical Working Paper 0066
The Size and Power of the Variance Ratio Test in Finite Samples: A Monte Carlo Investigation
Andrew W. Lo; A. Craig MacKinlay
发表日期1988-06-01
出版年1988
语种英语
摘要We examine the finite sample properties of the variance ratio test of the random walk hypothesis via Monte Carlo simulations under two null and three alternative hypotheses. These results are compared to the performance of the Dickey-Fuller t and the Box-Pierce Q statistics. Under the null hypothesis of a random walk with independent and identically distributed Gaussian increments, the empirical size of all three tests are comparable. Under a heteroscedastic random walk null, the variance ratio test is more reliable than either the Dickey-Fuller or Box-Pierce tests. We compute the power of these three tests against three alternatives of recent empirical interest: a stationary AR(1), the sum of this AR(1) and a random walk, and an integrated AR( 1). By choosing the sampling frequency appropriately, the variance ratio test is shown to be as powerful as the Dickey-Fuller and Box-Pierce tests against the stationary alternative, and is more powerful than either of the two tests against the two unit-root alternatives.
URLhttps://www.nber.org/papers/t0066
来源智库National Bureau of Economic Research (United States)
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条目标识符http://119.78.100.153/handle/2XGU8XDN/559861
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Andrew W. Lo,A. Craig MacKinlay. The Size and Power of the Variance Ratio Test in Finite Samples: A Monte Carlo Investigation. 1988.
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