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Table 7 MLE of the parameter \({\beta }\)

From: Further results involving Marshall–Olkin log-logistic distribution: reliability analysis, estimation of the parameter, and applications

\(\beta\)

n

Estimate

Bias

MSE

\({\alpha =0.3}\)

20

1.91064

−0.0893629

0.394056

50

2.02933

0.0293271

0.0744106

70

1.9975

−0.00249889

0.0850081

150

2.01348

0.0134826

0.0190133

\({\alpha =1.2}\)

20

1.96364

−0.036358

0.341544

50

2.03782

0.0378182

0.0577503

70

2.02835

0.0283514

0.0409679

150

2.01348

0.0134826

0.0190133

\({\alpha =2.5}\)

20

1.94389

−0.0561107

0.372105

50

1.9975

−0.00249889

0.0850081

70

2.02563

0.0283514

0.0409679

150

2.01095

0.0109501

0.0227298