Statistical Inferences and Applications of the Half Exponential Power Distribution

Table 1

Empirical means and SD for the moment estimators of 𝜎 and 𝑝.

𝜎	𝑝	𝑛=100		𝑛=150		𝑛=200
		𝜎 (SD)	𝑝 (SD)	𝜎 (SD)	𝑝 (SD)	𝜎 (SD)	𝑝 (SD)
1	1	1.0116 (0.1274)	1.0643 (0.1949)	1.0099 (0.1077)	1.0450 (0.1675)	1.0084 (0.0935)	1.0380 (0.1426)
1	2	1.0046 (0.1014)	2.0544 (0.3443)	0.9989 (0.0816)	2.0369 (0.3167)	1.0034 (0.0745)	2.0484 (0.2869)
1	3	0.9972 (0.0844)	3.0454 (0.4233)	0.9998 (0.0714)	3.0375 (0.4089)	1.0044 (0.0640)	3.0547 (0.3970)
2	1	2.0365 (0.2499)	1.0660 (0.1959)	2.0390 (0.2099)	1.0559 (0.1635)	2.0233 (0.1872)	1.0443 (0.1505)
2	2	2.0090 (0.1983)	2.0726 (0.3453)	2.0111 (0.1710)	2.0541 (0.3117)	2.0014 (0.1424)	2.0372 (0.2814)
2	3	2.0033 (0.1660)	3.0516 (0.4338)	2.0013 (0.1392)	3.0344 (0.4054)	2.0116 (0.1275)	3.0607 (0.3974)