Research Article

Alpha Power Moment Exponential Model with Applications to Biomedical Science

Table 14

Av and MSE of the M1, M2, M3, M4, M5, and M6 estimates for the APTME distribution when  = 0.75.

M1M2M3M4M5M6
NAvMSEAvMSEAvMSEAvMSEAvMSEAvMSE

0.6500.60481.85400.71640.05010.75820.21310.60420.24940.76570.05300.76130.1332
0.72660.00840.61900.00630.63400.01180.72720.05690.60840.00570.62020.0077
1000.58350.50120.73250.07810.75180.11490.58300.18820.76860.07340.75870.3026
0.70540.00510.61540.00410.61840.00590.70560.03980.60750.00360.62300.0073
1500.62240.32680.71200.06270.73300.04840.62280.13400.73710.06160.73620.0715
0.67080.00380.62020.00450.61290.00380.67070.02330.61430.00400.61700.0056

1.6500.71813.10350.81970.30320.97290.78920.71750.43720.93510.37290.93740.5236
1.87110.06951.67990.08021.68180.11601.87210.28231.62350.07031.66630.1012
1000.66231.08160.81830.29130.86020.39580.66180.28630.90520.35390.89060.4263
1.82610.04161.66860.06791.67960.09261.82660.19341.62910.06151.65870.0777
1500.68390.53670.81360.22710.83150.26790.68440.20630.86300.25110.86900.3038
1.75570.03041.64850.04951.64810.06561.75540.11801.62370.04621.63320.0533

3500.73723.62221.01840.75201.11781.72330.73680.39081.19691.01441.22931.5815
3.36580.19463.05470.26173.09880.37283.36680.58582.94150.25893.03920.3643
1000.68561.19720.86300.34850.93040.59410.68540.24360.94760.41310.94830.5652
3.29650.12913.08240.19123.10120.27003.29700.38163.01350.17963.07270.2446
1500.70410.58300.17500.31930.19060.50800.14090.17100.18820.37210.18590.4139
3.19850.09933.05490.16693.03240.18833.19810.22673.00300.16133.03090.1774

5500.75104.61221.02800.78231.42263.88920.75090.29921.20021.08431.26191.7012
5.38490.32465.04040.56195.03880.97255.38600.81924.87670.58164.98810.8161
1000.70851.04361.00730.67541.08381.05520.70840.17511.11820.86401.08051.0174
5.29800.16744.99210.44185.02400.61865.29850.49454.88740.46695.02690.6399
1500.72330.49380.94930.45270.95400.48030.72370.11951.02720.55640.98800.5618
5.19330.13474.99680.37045.02710.47015.19290.28764.91580.38364.99500.4493