Table 2.

Asymptotic contiguous power of the MDPDE-based Wald-type test for testing symmetry ( ${\gamma }_0=0$) at 5% level of significance with ${\mathit{\theta }}_0=(0,1,0{)}^T$ and different values of α and d.

	α
d	0	0.05	0.1	0.2	0.3	0.5	0.7	1
3.00	0.6685	0.6678	0.6662	0.6471	0.6327	0.6011	0.5507	0.4905
3.50	0.7982	0.7975	0.7960	0.7785	0.7649	0.7342	0.6827	0.6175
4.00	0.8915	0.8910	0.8899	0.8763	0.8655	0.8401	0.7948	0.7329
4.50	0.9489	0.9485	0.9478	0.9390	0.9317	0.9137	0.8792	0.8275
5.00	0.9790	0.9788	0.9784	0.9736	0.9694	0.9585	0.9356	0.8974
5.50	0.9925	0.9924	0.9922	0.9900	0.9879	0.9823	0.9690	0.9440
6.00	0.9977	0.9977	0.9976	0.9967	0.9958	0.9933	0.9866	0.9721
7.00	0.9999	0.9999	0.9998	0.9998	0.9997	0.9993	0.9982	0.9947
8.00	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	0.9998	0.9993
9.00	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	0.9999