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Full-Text Articles in Social and Behavioral Sciences
Bubble Testing Under Polynomial Trends, Xiaohu Wang, Jun Yu
Bubble Testing Under Polynomial Trends, Xiaohu Wang, Jun Yu
Research Collection School Of Economics
This paper develops the asymptotic theory of the least squares estimator of the autoregressive (AR) coefficient in an AR(1) regression with intercept when data is generated from a polynomial trend model in different forms. It is shown that the commonly used right-tailed unit root tests tend to favor the explosive alternative. A new procedure, which implements the right-tailed unit root tests in an AR(2) regression, is proposed. It is shown that when the data generating process has a polynomial trend, the test statistics based on the new procedure cannot find evidence of explosiveness. Whereas, when the data generating process is …
Bubble Testing Under Deterministic Trends, Xiaohu Wang, Jun Yu
Bubble Testing Under Deterministic Trends, Xiaohu Wang, Jun Yu
Research Collection School Of Economics
This paper develops the asymptotic theory of the ordinary least squares estimator of the autoregressive (AR) coefficient in various AR models, when data is generated from trend-stationary models in different forms. It is shown that, depending on how the autoregression is specified, the commonly used right-tailed unit root tests may tend to reject the null hypothesis of unit root in favor of the explosive alternative. A new procedure to implement the right-tailed unit root tests is proposed. It is shown that when the data generating process is trend-stationary, the test statistics based on the proposed procedure cannot find evidence of …