Research Article

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

Table 1

Average bias values of estimates and their MSE (in brackets) when n=20.

ParametersMLE’sLSE’SWLSE’sPCE’s

0.0720(0.0474)-0.0050(0.0637)0.0065(0.0552)0.3384(0.5745)
0.0667(0.0359)0.0226(0.0491)0.0262(0.0397)0.0968(0.0578)
0.0452(0.0225)-0.0108(0.0295)-0.0027(0.0258)-0.0068(0.0347)
0.2957(0.6249)0.1433(1.7474)0.1402(1.1410)0.0733(0.4290)
0.0419(0.0197)-0.0109(0.0259)-0.0032(0.0227)-0.01400(0.0247)
0.4445(1.3893)0.2432(5.4847)0.2289(3.3600)0.0736(0.7986)
0.0400(0.0181)-0.0109(0.0238)-0.0034(0.0208)-0.0172(0.0202)
0.6120(2.6197)0.3703(14.2642)0.3383(8.3954)0.0770(1.3550)
0.1439(0.1896)-0.0100(0.2549)0.0130(0.2208)0.6767(2.2979)
0.0667(0.0359)0.0226(0.0491)0.0262(0.0397)0.0968(0.0578)
0.0904(0.0901)-0.0216(0.1181)-0.0053(0.1032)-0.0136(0.1386)
0.2957(0.6250)0.1433(1.7474)0.1402(1.1410)0.0733(0.4290)
0.0839(0.0790)-0.0218(0.1037)-0.0064(0.0906)-0.0280(0.0989)
0.4445(1.3893)0.2432(5.4847)0.2289(3.3600)0.0736(0.7986)
0.0800(0.0723)-0.0217(0.0952)-0.0053(0.1032)-0.0344(0.0807)
0.6120(2.6197)0.3703(14.2642)-0.8598(1.8606)0.0770(1.3550)