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

Table 8

DEA-Chebyshev model efficiency analysis from simulation 1 at 𝛼=0.75.

	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	0.786	1.548	1.85 (8)	2.127 (6)	1.988 (0.63)	0.539	1
DMU2	0.751	1.272	1.297 (3)	1.184 (5)	1.24 (0.83)	0.368	1
DMU3	0.683	1.082	0	0.357	0.179	0.282	0.883
DMU4	0.673	1.287	3.491 (7)	1.72 (8)	2.605 (0.02)	0.434	0.98
DMU5	0.47	0.858	0	0	0	0.275	0.664
DMU6	0.696	1.096	0	0.591	0.295	0.283	0.896
DMU7	0.643	1.104	0	0.547	0.274	0.326	0.874
DMU8	0.531	0.892	0	0	0	0.255	0.712
DMU9	0.767	1.249	4.839 (10)	2.363 (9)	3.601 (0.03)	0.341	1
DMU10	0.659	0.898	0	0	0	0.169	0.779
DMU11	0.813	1.628	0.101 (3)	2.328 (9)	1.214 (0.006)	0.577	0.906
DMU12	0.662	0.822	0	0	0	0.113	0.742
DMU13	0.768	0.965	0	0	0	0.14	0.867
DMU14	0.906	2.225	1.53 (4)	2.193 (8)	1.862 (0.55)	0.932	1
DMU15	0.92	3.232	1.892 (2)	1.592 (5)	1.742 (0.75)	1.635	1