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Table 1 Bias and MSE for the parameters \(\lambda ,\alpha\), \(\beta\)

From: Weighted Lomax distribution

\(\lambda\)

α

β

n

Bias (λ)

MSE (λ)

Bias (α)

MSE (α)

Bias (β)

MSE (β)

0.03

2

0.5

20

−0.0285

0.00299

4.6345

35.5596

4.7126

36.5100

   

40

−0.0266

0.00071

3.8839

23.5742

4.0339

24.7811

   

70

−0.0261

0.00068

3.1262

15.2725

3.3071

16.3899

   

100

−0.0257

0.00066

2.7709

11.9247

2.9629

12.9699

0.01

2.5

1

20

−0.0083

0.000069

5.8120

60.4177

5.8464

61.0917

   

40

−0.0081

0.000066

5.1198

45.5128

5.2032

46.4064

   

70

−0.0078

0.000061

4.0102

28.6942

4.1131

29.5265

   

100

−0.0075

0.000058

3.4679

22.5719

3.5759

23.317