Research Article

Statistical Inferences and Applications of the Half Exponential Power Distribution

Table 2

Empirical means and SD for the MLE estimators of and .

σ
(SD) (SD) (SD) (SD) (SD) (SD)

1 1 1.0119 (0.1272) 1.0515 (0.2055) 1.0134 (0.1079) 1.0397 (0.1695) 1.0026 (0.0890) 1.0270 (0.1401)
1 2 1.0153 (0.1106) 2.2028 (0.6168) 1.0048 (0.0883) 2.0995 (0.4420) 1.0063 (0.0770) 2.0876 (0.3644)
1 3 1.0193 (0.1102) 3.4735 (1.3164) 1.0099 (0.0816) 3.2477 (0.7742) 1.0068 (0.0736) 3.1542 (0.6405)

2 1 2.0202 (0.2631) 1.0566 (0.2107) 2.0309 (0.2178) 1.0409 (0.1697) 2.0153 (0.1766) 1.0242 (0.1372)
2 2 2.0250 (0.2266) 2.1944 (0.6224) 2.0136 (0.1798) 2.1194 (0.4469) 2.0031 (0.1531) 2.0695 (0.3449)
2 3 2.0332 (0.2235) 3.4523 (1.4561) 2.0241 (0.1682) 3.2700 (0.8226) 2.0218 (0.1432) 3.2229 (0.7221)