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

Table 14

“Naïve” ranking of empirically efficient DMUs in order of declining levels of efficiency. Values in bold correspond to DEA efficient units with a score of “1”.

	Rank	𝜃
	DMU15	2.076
	DMU14	1.566
	DMU11	1.22
	DMU1	1.167
	DMU2	1.012
	DMU9	1.008
Simulation 1	DMU4	0.98
	DMU6	0.896
	DMU3	0.883
	DMU7	0.874
	DMU13	0.867
	DMU10	0.779
	DMU12	0.742
	DMU8	0.712
	DMU5	0.664
	DMU2	1.356
	DMU1	1.266
	DMU12	1.252
	DMU15	1.237
	DMU8	1.213
	DMU14	1.173
Simulation 2	DMU10	1.022
	DMU3	1.013
	DMU7	0.947
	DMU13	0.944
	DMU11	0.906
	DMU9	0.843
	DMU6	0.837
	DMU5	0.812
	DMU4	0.594
	DMU14	13.632
	DMU15	1.807
	DMU9	1.498
	DMU1	1.157
	DMU2	1.15
	DMU11	1.036
Simulation 3	DMU13	1.024
	DMU7	0.986
	DMU5	0.985
	DMU4	0.877
	DMU8	0.87
	DMU3	0.833
	DMU12	0.803
	DMU10	0.774
	DMU6	0.765
	DMU14	2.388
Simulation 4	DMU15	1.802
	DMU11	1.283
	DMU1	1.202
	DMU7	1.039
	DMU2	1.01
	DMU13	0.991
	DMU3	0.99
	DMU12	0.954
	DMU4	0.898
	DMU10	0.812
	DMU9	0.807
	DMU8	0.775
	DMU5	0.726
	DMU6	0.622