Research Article

Alpha Power Moment Exponential Model with Applications to Biomedical Science

Table 15

Av and MSE of the M1, M2, M3, M4, M5, and M6 estimates for the APTME distribution when  = 1.5.

M1M2M3M4M5M6
NAvMSEAvMSEAvMSEAvMSEAvMSEAvMSE

0.6501.21061.56261.47700.07491.49340.66571.21040.45381.51980.05341.47030.0983
0.68550.00560.60900.00520.61670.00700.68560.03630.60290.00430.60930.0041
1001.29290.56031.47810.08581.49580.14991.29280.25801.52020.09681.46490.1484
0.64520.00330.60520.00200.60750.00410.64520.01360.60140.00220.61030.0030
1501.29980.51891.36890.06061.40230.11501.29980.23901.44630.09121.51220.1322
0.63470.00270.61470.00200.60930.00370.63470.00910.60420.00210.59710.0018

1.6501.23915.38781.41020.47151.60321.47071.23890.78791.56090.46821.55280.7795
1.84830.05081.70090.07661.72500.18731.84860.23221.65010.05891.68860.0881
1001.25931.87091.44110.49211.52100.68961.25920.53101.54840.49841.52880.6993
1.76270.03161.68410.05871.68220.08621.76280.11391.64910.04731.67770.0670
1501.34551.13031.43750.42951.49000.44661.34620.34311.51920.44621.50740.4833
1.69280.02231.67540.04771.65810.04411.69270.05311.65070.04091.65690.0436

3501.25766.12581.61371.20241.70721.84481.25370.67781.86121.45151.93272.6429
3.34160.18123.20200.33733.23080.50493.34210.46303.08530.27843.13940.3612
1001.29562.71071.47940.63611.68171.39771.29560.45711.59460.66301.67151.1470
3.22820.11703.15140.19803.13580.25193.22840.23243.08770.16763.11900.2359
1501.36871.46681.52730.56141.64850.85871.36940.29791.62230.59591.62830.7126
3.13560.08103.11040.15823.09290.22833.13540.11723.06080.13623.07470.1559

5501.346610.43211.66011.20182.02953.22311.34290.61601.91231.49781.99502.5070
5.39500.34215.24370.46755.24150.74485.40000.50365.05540.39385.14910.5533
1001.41952.83371.79021.13441.98041.92341.41930.37231.95651.33811.99351.8771
5.27160.19285.12890.29605.09660.36205.27220.25605.01600.26495.06990.3345
1501.31931.16381.46280.68381.54861.03081.32090.27441.56980.75281.58230.9621
5.21720.14135.22960.28885.19100.29035.21650.16935.14310.25885.16460.2781