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Table 3 Average values of estimates and the corresponding MSEs

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

Set 2: α= 0.8, θ= 0.2, γ= 1.5

n

MLEs

OLSEs

PEs

Estimates

MSEs

Estimates

MSEs

Estimates

MSEs

30

0.625068

0.009387

0.800000

1.48037*10^-15

0.800000

2.08848*10^-14

0.038624

0.003470

0.200000

2.97589*10^-17

0.200000

4.14824*10^-16

2.206900

0.014437

1.500000

6.85963*10^-15

1.500000

7.49312*10^-14

100

0.625035

0.009409

0.800000

1.06613*10^-15

0.800000

1.15878*10^-14

0.038620

0.003481

0.200000

2.14695*10^-17

0.200000

2.33517*10^-16

2.206810

0.014468

1.500000

4.93807*10^-15

1.500000

4.14635*10^-14