NUMERICAL DISTRIBUTION FUNCTIONS OF FRACTIONAL UNIT ROOT AND COINTEGRATION TESTS
分数阶单位根与协整检验的数值分布函数AI 解读 ↓
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分数阶单位根与协整检验的数值分布函数AI 解读 ↓
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SUMMARY We calculate, by simulations, numerical asymptotic distribution functions of likelihood ratio tests for fractional unit roots and cointegration rank. Because these distributions depend on a real‐valued parameter b which must be estimated, simple tabulation is not feasible. Partly owing to the presence of this parameter, the choice of model specification for the response surface regressions used to obtain the numerical distribution functions is more involved than is usually the case. We deal with model uncertainty by model averaging rather than by model selection. We make available a computer program which, given the dimension of the problem, q , and a value of b , provides either a set of critical values or the asymptotic P ‐value for any value of the likelihood ratio statistic. Copyright © 2012 John Wiley & Sons, Ltd.
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