A Distribution-Free Approach to Stochastic Efficiency Measurement with Inclusion of Expert Knowledge

Table 9

DEA-Chebyshev model efficiency analysis from simulation 2 at 𝛼=0.74.

	𝜃^𝑈𝛼=0.75; Upper bounds	𝜃^𝐿𝛼=0.75; Lower bounds	∑^𝑞𝑅=1𝜆^𝑈𝑟,𝑅	∑^𝑞𝑅=1𝜆^𝐿𝑟,𝑅	∑^𝑞𝑅=1𝜆𝑟,𝑅	St. dev (𝜃)	𝜃𝛼=0.75
DMU1	0.793	1.739	1.787 (8)	1.45 (5)	1.619 (0.5)	0.669	1
DMU2	0.748	1.964	0.809 (1)	1.178 (7)	0.994 (0.25)	0.86	0.874
DMU3	0.684	1.342	4.027 (8)	2.832 (7)	3.429 (0.05)	0.465	1
DMU4	0.417	0.771	0	0	0	0.25	0.594
DMU5	0.604	1.02	0	0.115	0.058	0.294	0.812
DMU6	0.628	1.047	0	0.337	0.169	0.296	0.837
DMU7	0.719	1.174	0	0.764	0.382	0.322	0.947
DMU8	0.769	1.657	3.568 (10)	2.269 (10)	2.918 (0.08)	0.627	1
DMU9	0.719	0.967	0	0	0	0.176	0.843
DMU10	0.78	1.264	0	0.794	0.397	0.342	0.89
DMU11	0.782	1.03	0	0.115	0.057	0.175	0.906
DMU12	0.84	1.664	2.26 (5)	2.103 (8)	2.182 (0.83)	0.582	1
DMU13	0.852	1.037	0	0.152	0.076	0.131	0.944
DMU14	0.887	1.46	0.646 (1)	1.273 (4)	0.959 (0.08)	0.405	0.943
DMU15	0.918	1.556	1.904 (5)	1.617 (5)	1.761 (0.29)	0.452	1