Testing the Convergence Hypothesis
指出收敛假说与均值回归假说并不等价,在某些假设下收敛速度与均值回归程度无关,并通过实证例子展示两者检验结果可能不同。
The authors show that, contrary to the beliefs of some previous analysts of international economic growth, the hypotheses of convergence and of mean-reversion are not equivalent. Under some assumptions, the rate of convergence is independent of the degree of mean-reversion; under other assumptions, mean-reversion is a necessary, but not a sufficient, condition for convergence. The authors show the relationship between the convergence test and the mean-reversion test and provide an empirical example in which the null hypothesis of no mean-reversion is rejected but the null hypothesis of no convergence is not rejected. Copyright 1994 by MIT Press.