equivalent to a single restriction Since the CLDR property is not an issue with one constraint a possible strategy is to replace the q restriction by the single restriction and consider the corresponding test statistic. Of course, this simplification may have an important cost in terms of power since itdoes not take into account the fact that for an estimator ˆ θ$_{T}$ the components may be highly correlated. Then, the naive norm ∥ g ( ˆ θ$_{T}$ ) ∥ of the vector g ( ˆ θ$_{T}$ ) may not be the efficient way to assess its distance from zero; some weighting may be advantageous. Sometimes the asymptotic distribution of the Wald statistic under the null, even when non-standard, can be uniquely determined; this is the case in Example 3.3. But typically under conditions of Theorem 4.1 with possible singularity the asymptotic distribution under the null is not uniquely de- termined. Because the asymptotic distribution of the Wald statistic may be discontinuous in the true values it is useful to establish uniform bounds on the asymptotic distribution of the statistic, or on the critical values for the 28 5 Bounds on the statistic and bounds on crit- ical values ‖ g ( θ ) ‖ 2 = q ∑ i =1 g 2 $_{i}$( θ ) = 0 .