Sample size

θ = 0.75

α = 1.50

δ = 3.25

n = 60

MME (MLE)

0.5170 (0.9194)

0.9258 (1.3100)

1.5156 (3.7137)

bias

−0.2329 (0.1694)

−0.5741 (−0.1899)

−1.7343 (0.4637)

MSE

0.1140 (0.1026)

0.4276 (0.3873)

3.6539 (2.0807)

n = 100

MME (MLE)

0.6202 (0.8710)

1.0321 (1.3759)

1.7230 (3.6485)

bias

−0.1297 (0.1210)

−0.4678 (−0.1240)

−1.5269 (0.3985)

MSE

0.0894 (0.0617)

0.2200 (0.2026)

3.5129 (1.2336)

n = 140

MME (MLE)

0.6736 (0.8369)

1.0805 (1.4098)

1.9488 (3.5212)

bias

−0.0763 (0.0869)

−0.4194 (−0.0901)

−1.3011 (0.2712)

MSE

0.0590 (0.0535)

0.2137 (0.1126)

2.9998 (0.8791)

n = 180

MME (MLE)

0.7005 (0.7832)

1.1019 (1.4652)

1.9701 (3.3997)

bias

−0.0494 (0.0332)

−0.3980 (−0.0347)

−1.2798 (0.1497)

MSE

0.0456 (0.0140)

0.1985 (0.0650)

2.3752 (0.5366)