Table 7: Rankings (mean ± std) per detector aggregated over the datasets, where lower positions mean lower costs (better). The table is divided into three parts, where each part has different costs for false positives, false negatives, and rejection. REJEX obtains the lowest (best) average ranking position for all the detectors and all cost functions.
DET.	RANKINGS FOR THE THREE COST FUNCTIONS (MEAN ± STD)
REJEX	SS-REPEN	MV	ENS	UDR	EM	STABILITY	NOREJECT
FALSE POSITIVE COST = 10, FALSE NEGATIVE COST = 1, REJECTION COST = min{10(1 - γ), γ}
AE	2.35 ± 1.37	3.84 ± 2.73	5.87 ± 2.40	3.68 ± 2.05	4.85 ± 1.96	5.33 ± 1.67	4.72 ± 1.68	5.36 ± 1.97
COPOD	2.25 ± 1.45	3.63 ± 2.66	4.79 ± 2.27	3.89 ± 2.27	4.94 ± 1.76	5.46 ± 1.71	5.51 ± 1.45	5.54 ± 2.17
ECOD	2.28 ± 1.30	3.51 ± 2.73	4.63 ± 2.36	3.85 ± 2.21	5.34 ± 1.74	5.11 ± 1.66	5.38 ± 1.39	5.90 ± 2.09
GMM	2.13 ± 0.99	3.10 ± 2.43	6.36 ± 2.23	3.31 ± 1.94	4.21 ± 1.69	6.28 ± 1.27	5.18 ± 1.53	5.44 ± 1.50
HBOS	2.12 ± 1.42	3.46 ± 2.85	5.41 ± 2.42	4.25 ± 2.06	4.78 ± 1.78	5.35 ± 1.66	5.42 ± 1.47	5.20 ± 1.95
IFOR	2.11 ± 1.49	3.69 ± 2.61	4.73 ± 2.26	4.02 ± 2.11	5.07 ± 1.87	5.39 ± 1.61	5.36 ± 1.41	5.63 ± 2.24
INNE	1.72 ± 1.24	3.09 ± 2.68	5.42 ± 2.45	6.16 ± 1.44	5.47 ± 1.59	4.60 ± 1.51	5.32 ± 1.31	4.21 ± 1.80
KDE	2.14 ± 1.25	3.82 ± 2.68	5.73 ± 2.36	3.54 ± 1.92	4.75 ± 1.85	5.84 ± 1.58	4.83 ± 1.91	5.36 ± 1.75
KNN	1.99 ± 1.28	3.50 ± 2.74	5.55 ± 2.21	3.92 ± 2.02	4.37 ± 1.86	5.73 ± 1.46	5.23 ± 1.68	5.71 ± 1.71
LODA	2.56 ± 1.53	3.31 ± 2.31	4.29 ± 2.48	4.34 ± 2.14	5.03 ± 1.95	5.42 ± 1.88	4.96 ± 2.04	6.08 ± 1.75
LOF	1.96 ± 1.03	3.04 ± 2.46	7.12 ± 1.28	3.14 ± 1.60	3.73 ± 1.31	6.27 ± 1.14	5.59 ± 1.66	5.15 ± 1.39
OCSVM	2.15 ± 1.20	3.93 ± 2.70	5.92 ± 2.30	3.58 ± 2.13	4.70 ± 1.92	5.40 ± 1.63	5.03 ± 1.89	5.29 ± 1.67
FALSE POSITIVE COST = 1, FALSE NEGATIVE COST = 10, REJECTION COST = min{1 - γ, 10γ}
AE	2.98 ± 1.93	3.82 ± 2.72	7.03 ± 1.95	4.30 ± 2.07	4.49 ± 1.82	4.96 ± 1.83	4.28 ± 1.62	4.14 ± 1.93
COPOD	2.91 ± 2.04	3.56 ± 2.69	7.13 ± 1.56	4.15 ± 1.97	4.43 ± 1.87	5.30 ± 1.86	4.50 ± 1.60	4.03 ± 1.79
ECOD	2.70 ± 1.96	3.88 ± 2.82	6.87 ± 1.72	4.15 ± 2.02	4.74 ± 1.79	5.01 ± 2.03	4.23 ± 1.50	4.42 ± 1.90
GMM	2.59 ± 1.70	3.99 ± 2.85	6.84 ± 2.22	4.04 ± 2.12	4.08 ± 1.77	5.73 ± 1.37	4.62 ± 1.55	4.12 ± 1.58
HBOS	2.96 ± 2.14	4.32 ± 2.93	6.41 ± 2.20	4.49 ± 1.92	4.37 ± 1.82	5.15 ± 1.94	4.48 ± 1.65	3.81 ± 1.81
IFOR	2.71 ± 2.06	4.51 ± 2.92	6.80 ± 2.00	4.47 ± 2.09	4.62 ± 1.72	4.33 ± 1.66	4.55 ± 1.47	4.01 ± 1.93
INNE	2.64 ± 1.94	4.71 ± 2.93	5.06 ± 2.95	5.85 ± 1.52	5.06 ± 1.80	4.03 ± 1.64	4.72 ± 1.50	3.94 ± 1.87
KDE	3.00 ± 2.01	4.49 ± 2.93	6.51 ± 2.27	4.00 ± 1.84	4.40 ± 1.68	5.01 ± 1.97	4.40 ± 1.78	4.18 ± 1.96
KNN	2.64 ± 2.01	4.11 ± 3.01	6.67 ± 2.23	4.17 ± 1.89	4.13 ± 1.87	4.99 ± 1.60	4.88 ± 1.54	4.41 ± 1.64
LODA	3.44 ± 1.96	3.66 ± 2.71	6.32 ± 2.30	4.22 ± 1.94	4.36 ± 1.95	4.47 ± 2.17	4.53 ± 2.09	4.99 ± 1.87
LOF	2.22 ± 1.38	3.43 ± 2.67	7.74 ± 0.67	3.47 ± 1.73	3.63 ± 1.40	5.95 ± 1.17	5.35 ± 1.57	4.22 ± 1.38
OCSVM	2.82 ± 1.71	3.83 ± 2.63	7.30 ± 1.50	4.23 ± 2.13	4.35 ± 1.78	5.34 ± 1.65	4.32 ± 1.95	3.80 ± 1.72
FALSE POSITIVE COST = 5, FALSE NEGATIVE COST = 5, REJECTION COST = γ
AE	2.31 ± 1.38	4.05 ± 2.78	5.85 ± 2.41	3.66 ± 2.12	4.69 ± 1.86	5.27 ± 1.68	4.84 ± 1.74	5.34 ± 1.92
COPOD	2.24 ± 1.49	3.72 ± 2.70	4.62 ± 2.17	3.98 ± 2.34	4.89 ± 1.87	5.26 ± 1.58	5.57 ± 1.50	5.72 ± 2.10
ECOD	2.18 ± 1.31	3.92 ± 2.75	4.22 ± 2.22	3.93 ± 2.33	5.30 ± 1.82	4.91 ± 1.69	5.48 ± 1.38	6.06 ± 1.94
GMM	1.96 ± 0.97	3.31 ± 2.44	6.39 ± 2.21	3.36 ± 1.89	4.09 ± 1.68	6.29 ± 1.25	5.11 ± 1.51	5.48 ± 1.50
HBOS	1.98 ± 1.37	3.95 ± 2.88	5.30 ± 2.46	4.18 ± 2.01	4.63 ± 1.83	5.36 ± 1.68	5.41 ± 1.46	5.18 ± 1.93
IFOR	2.01 ± 1.46	4.10 ± 2.67	4.71 ± 2.26	3.96 ± 2.05	4.98 ± 1.96	5.35 ± 1.60	5.29 ± 1.42	5.60 ± 2.24
INNE	1.70 ± 1.25	3.75 ± 2.82	4.17 ± 2.42	6.02 ± 1.44	5.57 ± 1.78	4.56 ± 1.36	5.36 ± 1.38	4.87 ± 2.08
KDE	2.22 ± 1.35	4.24 ± 2.73	5.49 ± 2.55	3.62 ± 2.00	4.71 ± 1.95	5.60 ± 1.50	4.79 ± 1.86	5.34 ± 1.87
KNN	1.98 ± 1.23	3.88 ± 2.82	5.49 ± 2.39	3.91 ± 1.86	4.29 ± 1.86	5.56 ± 1.71	5.19 ± 1.63	5.69 ± 1.70
LODA	2.58 ± 1.60	3.59 ± 2.36	4.34 ± 2.58	4.26 ± 2.17	4.93 ± 1.98	5.33 ± 1.98	5.02 ± 1.98	5.94 ± 1.75
LOF	1.88 ± 0.96	3.26 ± 2.51	7.18 ± 1.29	3.16 ± 1.60	3.65 ± 1.32	6.24 ± 1.12	5.53 ± 1.69	5.10 ± 1.37
OCSVM	2.15 ± 1.19	4.18 ± 2.77	5.73 ± 2.36	3.62 ± 2.20	4.59 ± 1.88	5.39 ± 1.59	5.05 ± 1.92	5.31 ± 1.67