Research Article

Alpha Power Moment Exponential Model with Applications to Biomedical Science

Table 13

Av and MSE of the M1, M2, M3, M4, M5, and M6 estimates for the APTME distribution when  = 0.15.

M1M2M3M4M5M6
nAvMSEAvMSEAvMSEAvMSEAvMSEAvMSE

0.6500.20321.15180.15450.00700.17210.02570.24000.06580.14830.00850.16240.0186
0.67490.04110.62250.00910.63150.01510.60000.03610.63250.01070.63960.0158
1000.18100.87440.16850.00960.18590.02550.15000.03850.16130.01020.17210.0197
0.67020.03690.61280.00700.61620.01020.60000.02840.62140.00830.62680.0116
1500.16280.78680.14800.00290.16480.05260.15000.02800.14470.00300.14780.0055
0.66770.03260.61540.00390.61920.00670.60000.02470.61900.00410.62480.0072

1.6500.24601.76170.21690.05130.34731.19660.39000.13230.23380.07920.27080.1568
1.70780.29791.57100.02701.57350.05401.60000.14781.57290.03131.58130.0530
1000.20280.97460.17100.01210.21810.10180.15000.06970.17110.01530.18350.0334
1.70380.26961.59220.01361.59150.03271.60000.11371.59810.01411.60690.0255
1500.19700.79860.16320.00520.22150.08500.15000.05140.16140.00520.18110.0178
1.67670.26421.59630.01041.57390.03241.60000.08851.60120.01081.59740.0266

3500.22850.73540.19700.03680.31300.37720.60000.09230.20830.05430.27510.2062
3.09820.11332.96670.03382.93840.14063.00000.27872.96220.04152.94060.1149
1000.18350.73080.18010.02410.23540.16160.15000.04100.18170.02980.19950.0652
3.10170.11032.97280.02432.96420.08213.00000.18032.97790.02852.98020.0530
1500.18360.72250.15980.00400.19880.06250.15000.02920.16260.00880.16920.0174
3.05580.10912.99270.00982.96760.06453.00000.14362.99280.01292.99540.0306

5500.18410.71920.18140.01980.29020.43980.90000.02930.18810.03080.24100.1802
5.10620.03854.97370.03064.91910.22445.00000.29844.96680.03564.93670.1639
1000.15850.70230.17230.01920.22810.18010.15000.01240.17270.02330.19470.0801
5.11860.03824.97320.02934.94290.15055.00000.17514.97840.03304.97550.0920
1500.15720.67230.15840.00400.18540.04410.15000.00700.15740.00340.16330.0111
5.07030.03944.99350.01064.96110.09885.00000.12054.99620.00904.99670.0322