Before revision:  The test compares the likelihood ratio statistic to a chi-squared critical value, where the degrees of freedom is the rank of the active inequalities . This test requires no tuning parameters or simulations, and therefore is computationally fast , even with many inequalities.
After revision:  The test compares the likelihood ratio statistic to a chi-squared critical value, where the degrees of freedom is the rank of the inequalities that are active in finite samples. The test requires no tuning parameters or simulations, and therefore is computationally fast , even with many inequalities.