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

Table 10

DEA-Chebyshev model efficiency analysis from simulation 3 at 𝛼=0.675.

	𝜃^𝑈𝛼=0.675; Upper bounds	𝜃^𝐿𝛼=0.675; Lower bounds	∑^𝑞𝑅=1𝜆^𝑈𝑟,𝑅	∑^𝑞𝑅=1𝜆^𝐿𝑟,𝑅	∑^𝑞𝑅=1𝜆𝑟,𝑅	St. dev (𝜃)	𝜃𝛼=0.675
DMU1	0.794	1.566	1.073 (3)	1.356 (2)	1.214 (0.48)	0.4796	1
DMU2	0.731	1.603	2.528 (9)	1.47 (7)	1.999 (0.006)	0.5503	1
DMU3	0.659	1.003	0	0	0	0.213	0.833
DMU4	0.67	1.079	0	0.461	0.23	0.255	0.877
DMU5	0.728	1.235	0.377 (1)	2.111 (8)	1.244 (0.06)	0.3195	0.985
DMU6	0.571	0.954	0	0	0	0.24	0.765
DMU7	0.725	1.24	5.206 (10)	2.573 (8)	3.889 (0.008)	0.326	1
DMU8	0.705	1.028	0	0.027	0.014	0.204	0.87
DMU9	0.791	2.408	0.805 (1)	1.061 (8)	0.933 (0.005)	0.9715	0.905
DMU10	0.664	0.88	0	0	0	0.1347	0.774
DMU11	0.799	1.298	0	1.077	0.538	0.2745	0.921
DMU12	0.674	0.926	0	0	0	0.157	0.803
DMU13	0.893	1.161	2.855 (7)	1.113 (5)	1.984 (0.03)	0.1655	1
DMU14	0.936	29.92	1 (1)	2.718 (6)	1.859 (0.04)	17.971	1
DMU15	0.926	2.77	1.156 (2)	1.034 (4)	1.095 (0.37)	1.2342	1