Research Article

Exponentiated Inverse Rayleigh Distribution and an Application to Coating Weights of Iron Sheets Data

Table 3

Average bias values of estimates and their MSE (in brackets) when n=50.

ParametersMLE’sLSE’SWLSE’sPCE’s

0.0264(0.0154)-0.0058(0.0215)0.0036(0.0181)0.4028(0.5785)
0.0234(0.0091)0.0046(0.0112)0.0094(0.0097)0.0744(0.0281)
0.0166(0.0078)-0.0066(0.0105)0.0001(0.0089)-0.0327(0.0251)
0.0992(0.1302)0.0261(0.1717)0.0422(0.1420)-0.0405(0.1726)
0.0155(0.0069)-0.0065(0.0093)-0.0002(0.0079)-0.0330(0.0169)
0.1470(0.2695)0.0431(0.3623)0.0650(0.2962)-0.0776(0.3123)
0.0147(0.0063)-0.0064(0.0085)-0.0003(0.0072)-0.0311(0.0130)
0.1999 (0.4770)0.0636(0.6509)0.0915(0.5277)-0.1094(0.5007)
0.0527(0.0615)-0.0116(0.0860)0.0072(0.0722)0.8057(2.3139)
0.0234(0.0091)0.0046(0.0112)0.0094(0.0097)0.0744(0.0281)
0.0333(0.0312)-0.0133(0.0421)0.0002(0.0358)-0.0654(0.1003)
0.0992(0.1302)0.0261(0.1718)0.04226(0.0142)-0.0405(0.1726)
0.0309(0.0275)-0.0130(0.0371)-0.0003(0.03150)-0.0660(0.0674)
0.1469(0.2695)0.0431(0.3623) 0.0650(0.2962)-0.0776(0.3123)
0.0295(0.0252)-0.0128(0.0341)0.0002(0.0358)-0.0621(0.0518)
0.1999(0.4770)0.0636(0.6509)-0.9579(1.0577)-0.1094(0.5007)