Inference on Reliability of Stress-Strength Models for Poisson Data

Table 5

Simulation results: bias and root mean square error of variance estimators.

	𝑅=0.9	𝑅=0.8	𝑅=0.7	𝑅=0.6	𝑅=0.5
	(𝑛1,𝑛2)=(10,10)
RB(𝑣(𝑅))	0.22	−2.64	−2.37	−3.28	−5.23
RB(𝑣(𝑅))	1.02	−2.22	−2.09	−3.17	−5.15
RMSE(𝑣(𝑅))⋅10^4	25.9	36.1	34.0	25.3	19.8
RMSE(𝑣(𝑅))⋅10^4	27.5	40.4	39.1	29.5	22.9
	(𝑛1,𝑛2)=(10,20)
RB(𝑣(𝑅))	3.99	−0.07	−3.34	−2.72	−4.11
RB(𝑣(𝑅))	4.67	0.29	−3.17	−2.63	−4.08
RMSE(𝑣(𝑅))⋅10^4	15.5	22.7	21.9	15.8	10.7
RMSE(𝑣(𝑅))⋅10^4	16.1	24.7	24.1	17.6	11.9
	(𝑛1,𝑛2)=(10,50)
RB(𝑣(𝑅))	6.22	2.33	0.70	0.88	−0.55
RB(𝑣(𝑅))	6.66	2.56	0.82	0.93	−0.54
RMSE(𝑣(𝑅))⋅10^4	10.2	15.6	15.3	11.5	7.20
RMSE(𝑣(𝑅))⋅10^4	10.5	16.6	16.4	12.4	7.71
	(𝑛1,𝑛2)=(20,10)
RB(𝑣(𝑅))	−2.80	−3.56	−2.55	−3.67	−5.45
RB(𝑣(𝑅))	−2.58	−3.43	−2.47	−3.57	−5.37
RMSE(𝑣(𝑅))⋅10^4	18.4	26.3	24.8	18.3	14.6
RMSE(𝑣(𝑅))⋅10^4	19.1	28.5	27.6	20.7	16.1
	(𝑛1,𝑛2)=(20,20)
RB(𝑣(𝑅))	4.76	2.51	−0.60	1.38	−0.72
RB(𝑣(𝑅))	5.09	2.67	−0.54	1.40	−0.71
RMSE(𝑣(𝑅))⋅10^4	8.84	13.5	12.9	8.84	5.03
RMSE(𝑣(𝑅))⋅10^4	9.04	14.3	13.9	9.60	5.45
	(𝑛1,𝑛2)=(20,50)
RB(𝑣(𝑅))	7.39	4.45	2.23	2.81	2.20
RB(𝑣(𝑅))	7.60	4.55	2.28	2.84	2.21
RMSE(𝑣(𝑅))⋅10^4	4.67	7.41	7.24	5.13	2.68
RMSE(𝑣(𝑅))⋅10^4	4.74	7.69	7.58	5.39	2.81
	(𝑛1,𝑛2)=(50,10)
RB(𝑣(𝑅))	−3.24	−4.60	−5.48	−3.24	−5.42
RB(𝑣(𝑅))	−3.08	−4.59	−5.52	−3.27	−5.45
RMSE(𝑣(𝑅))⋅10^4	14.3	21.2	20.8	15.0	11.5
RMSE(𝑣(𝑅))⋅10^4	14.5	22.5	22.6	16.6	12.4
	(𝑛1,𝑛2)=(50,20)
RB(𝑣(𝑅))	1.79	−0.23	1.15	2.81	0.47
RB(𝑣(𝑅))	1.93	−0.16	1.18	2.84	0.48
RMSE(𝑣(𝑅))⋅10^4	5.64	9.00	8.78	5.13	3.21
RMSE(𝑣(𝑅))⋅10^4	5.68	9.34	9.25	5.39	3.40
	(𝑛1,𝑛2)=(50,50)
RB(𝑣(𝑅))	8.02	7.02	6.14	5.35	5.68
RB(𝑣(𝑅))	8.08	7.05	6.15	5.36	5.69
RMSE(𝑣(𝑅))⋅10^4	2.19	3.62	3.63	2.64	1.88
RMSE(𝑣(𝑅))⋅10^4	2.21	3.69	3.73	2.72	1.92