Sample size

$\theta =0.25$

$\alpha =0.75$

$\delta =2.25$

$n=60$

MME (MLE)

0.4238 (0.3265)

0.9074 (0.7305)

4.5009 (2.9685)

bias

0.1738 (0.0765)

0.1574 (−0.0195)

2.2509 (0.7185)

MSE

0.0538 (0.0184)

0.0351 (0.0302)

7.9620 (1.3852)

$n=100$

MME (MLE)

0.3875 (0.2996)

0.8858 (0.7268)

4.1126 (2.7266)

bias

0.1375 (0.0497)

0.1358 (−0.0232)

1.8626 (0.4765)

MSE

0.0407 (0.0098)

0.0332 (0.0324)

6.3121 (0.7030)

$n=140$

MME (MLE)

0.3866 (0.2797)

0.8809 (0.7355)

3.8923 (2.5781)

bias

0.1366 (0.0298)

0.1309 (−0.0145)

1.6423 (0.3282)

MSE

0.0364 (0.0039)

0.0202 (0.0090)

5.0442 (0.4240)

$n=180$

MME (MLE)

0.3523 (0.2682)

0.8703 (0.7362)

3.7950 (2.4670)

bias

0.1023 (0.0182)

0.1203 (−0.0137)

1.5450 (0.2170)

MSE

0.0213 (0.0027)

0.0195 (0.0077)

3.8063 (0.3170)