Research Article

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

Table 4

Average bias values of estimates and their MSE (in brackets) when n=100.

ParametersMLE’sLSE’SWLSE’sPCE’s

0.0123(0.0071)-0.0037(0.0102)0.0026(0.0083)0.4887(0.6267)
0.0110(0.0040)0.0016(0.0051)0.0051(0.0044)0.0732(0.0201)
0.0078(0.0037)-0.0038(0.0051)0.0007(0.0042)-0.0465(0.0217)
0.0464(0.0546)0.0096(0.0732)0.0218(0.0608)-0.0759(0.1151)
0.0073(0.0033)-0.0037(0.0045)0.0005(0.0037)-0.0398(0.0133)
0.0686(0.1113)0.0162(0.1506)0.0332(0.1244)-0.1157(0.2009)
0.0070(0.0030)-0.0036(0.0041)0.0004(0.0034)-0.0343(0.0095)
0.0931(0.1943)0.0242(0.2650)0.0462(0.2181)-0.1487(0.3103)
0.2463(0.02854)-0.0073(0.0407)0.0052(0.0333)0.9773(2.5066)
0.0110(0.0040)0.0016(0.0051)0.0051(0.0044)0.0732(0.0201)
0.0156(0.0148)-0.0076(0.0202)0.0013(0.0168)-0.0930(0.0868)
0.0464(0.0546)0.0096(0.0732)0.0218(0.0608)-0.0759(0.1151)
0.0146(0.0131)-0.0074(0.0178)0.0010(0.0148)-0.0799(0.0533)
0.0686(0.1113)0.0162(0.1506)0.0332(0.1244)-0.1157(0.2009)
0.0139(0.0120)-0.0072(0.0164)0.0013(0.0168)-0.0687(0.0379)
0.0931(0.1943)0.0242(0.2650)-0.9783(1.0173)-0.1487(0.3103)