Research Article

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

Table 2

Average bias values of estimates and their MSE (in brackets) when n=40.

ParametersMLE’sLSE’SWLSE’sPCE’s

0.0331(0.0203)-0.0080(0.0271)0.0027(0.0231)0.3920(0.5673)
0.0304(0.0126)0.0067(0.0154)0.0122(0.0136)0.0792(0.0328)
0.0208(0.0103)-0.0087(0.0133)-0.0011(0.0114)-0.0273(0.0267)
0.1300(0.1877)0.0375(0.2478)0.0553(0.2118)-0.0195(0.2064)
0.0193(0.0090)-0.0085(0.0118)-0.0013(0.0101)-0.0291(0.0181)
0.1930(0.3942)0.0612(0.5325)0.0856(0.4511)-0.0505(0.3764)
0.0184(0.0083)-0.0083(0.0108)-0.0014(0.0092)-0.0292(0.0143)
0.2630(0.7065)0.0898(0.9731)0.12067(0.8183)-0.0819(0.6130)
0.0661(0.0813)-0.0159(0.1086)0.0055(0.0922)0.7841(2.2692)
0.0304(0.0126)0.0067(0.0155)0.0122(0.0136)0.0792(0.0328)
0.0415(0.0410)0.0174(0.0533)-0.0021(0.0456)-0.0546(0.1066)
0.1299(0.1877)0.0375(0.2478)0.0553(0.2118)-0.0195(0.2064)
0.0386(0.0361)-0.0170(0.0470)-0.0023(0.0402)-0.0581(0.0723)
0.1930(0.3942)0.0612(0.5325)0.0856(0.4511)-0.0505(0.3764)
0.0368(0.0331)-0.0167(0.0432)-0.0021(0.0456)-0.0585(0.0573)
0.2631(0.7065)0.0898(0.9731)-0.9447(1.1011)-0.0819(0.6130)