A New Useful Exponential Model with Applications to Quality Control and Actuarial Data

Table 6

Biases, MSEs, CPs, and AWs for different scenarios.

Scenario I				Scenario II				Scenario III
n				n				n
Biases
25	0.282	0.050	0.152	25	0.006	0.063	0.176	25	0.162	0.067	0.375
50	0.098	0.028	0.105	50	0.002	0.038	0.112	50	0.038	0.048	0.289
100	0.046	0.015	0.050	100	0.010	0.017	0.042	100	−0.007	0.031	0.196
500	0.028	0.005	0.009	500	0.001	0.000	-0.009	500	0.008	0.007	0.043
MSE
25	1.398	0.010	0.162	25	0.007	0.023	0.198	25	0.669	0.009	0.258
50	0.584	0.005	0.122	50	0.004	0.012	0.145	50	0.204	0.005	0.169
100	0.262	0.002	0.073	100	0.001	0.006	0.094	100	0.001	0.006	0.094
500	0.055	0.001	0.021	500	0.000	0.001	0.029	500	0.000	0.001	0.029
CPs
25	0.968	0.955	0.982	25	0.972	0.963	0.959	25	0.957	0.938	0.930
50	0.965	0.960	0.980	50	0.976	0.957	0.971	50	0.925	0.927	0.904
100	0.955	0.953	0.969	100	0.940	0.954	0.972	100	0.928	0.927	0.903
500	0.930	0.945	0.950	500	0.940	0.948	0.964	500	0.881	0.965	0.945
AWs
25	5.001	0.396	2.461	25	0.405	0.627	2.721	25	3.158	0.316	2.375
50	3.123	0.276	1.782	50	0.279	0.455	2.047	50	1.873	0.222	1.751
100	2.078	0.196	1.276	100	0.082	0.327	1.485	100	1.170	0.154	1.271
500	0.887	0.088	0.573	500	0.082	0.149	0.671	500	0.443	0.067	0.607