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Table 2 Average values of estimates and the corresponding MSEs

From: A new Weibull-X family of distributions: properties, characterizations and applications

Set 1: α= 0.5, θ= 0.2, γ= 1.5

n

MLEs

OLSEs

PEs

Estimates

MSEs

Estimates

MSEs

Estimates

MSEs

30

0.243115

0.006933

0.500000

2.62247*10^-13

0.499999

1.20077*10^-12

0.038949

0.002646

0.200000

3.69762*10^-14

0.200000

1.69355*10^-13

2.215720

0.011471

1.500000

2.42796*10^-12

1.500000

9.23321*10^-12

100

0.243066

0.006983

0.500000

2.41978*10^-13

0.499999

1.17444*10^-12

0.038940

0.002669

0.200000

3.42612*10^-14

0.200000

1.6606*10^-13

2.215470

0.011554

1.500000

2.23827*10^-12

1.500000

9.02771*10^-12