Research Article

Modified Slash Lindley Distribution

Table 1

Empirical means and SD for the MLE estimators of and of MSL distribution.

(SD) (SD) (SD) (SD) (SD) (SD) (SD) (SD)

1.0 1.0 0.9851 (0.2747) 1.1886 (0.1853) 1.1223 (0.2278) 0.9640 (0.0898) 1.0552 (0.1605) 1.0387 (0.0808) 0.9750 (0.1027) 1.0379 (0.0774)
2.0 1.0954 (0.2110) 2.2455 (0.7985) 0.9489 (0.1667) 2.1419 (0.5861) 1.0248 (0.1516) 2.0774 (0.4849) 1.0227 (0.1460) 1.8972 (0.3098)
3.0 1.0226 (0.1422) 3.1068 (0.6515) 1.0112 (0.1059) 3.0265 (0.6214) 1.0258 (0.0926) 3.0183 (0.6211) 0.9985 (0.0860) 2.9957 (0.6083)
2.0 1.0 1.9635 (0.4886) 1.0926 (0.1390) 2.0276 (0.1597) 0.9809 (0.1084) 2.0243 (0.1293) 1.0164 (0.0456) 1.9755 (0.0347) 0.9842 (0.0110)
2.0 1.9682 (0.5096) 2.1367 (0.7198) 2.0142 (0.2867) 2.1358 (0.6465) 2.0142 (0.2867) 2.1358 (0.2661) 2.0301 (0.2264) 1.9619 (0.1602)
3.0 1.9751 (0.2893) 2.9374 (0.8254) 2.0568 (0.1853) 3.1459 (0.6483) 2.0381 (0.1450) 3.1482 (0.5828) 2.0167 (0.1401) 3.1034 (0.5469)
3.0 1.0 3.1778 (0.9120) 0.9904 (0.2537) 2.9683 (0.4836) 1.0102 (0.0915) 3.0395 (0.2637) 1.0109 (0.0865) 2.9991 (0.1343) 0.9842 (0.0554)
2.0 2.9809 (0.9879) 2.1940 (0.6991) 2.9259 (0.5831) 2.1793 (0.5714) 2.9457 (0.5517) 2.1249 (0.5237) 3.0159 (0.3946) 2.1202 (0.4817)
3.0 2.9091 (0.5866) 3.1248 (0.7443) 3.0304 (0.5791) 2.9697 (0.7089) 3.0304 (0.5791) 2.9697 (0.7089) 2.9849 (0.2684) 3.0498 (0.6866)
4.0 1.0 4.0870 (0.9069) 1.0462 (0.1096) 3.8912 (0.6294) 0.9819 (0.0913) 4.0325 (0.5819) 0.9854 (0.0862) 3.9763 (0.5440) 1.0341 (0.0645)
2.0 4.5154 (0.5064) 1.9870 (0.2169) 3.9653 (0.4912) 2.0438 (0.1484) 3.9788 (0.2978) 2.0708 (0.1426) 3.9912 (0.0041) 2.0024 (0.1401)
3.0 4.1487 (0.8627) 3.2438 (0.7974) 4.0190 (0.4633) 3.1469 (0.4665) 4.0825 (0.3607) 3.1308 (0.3849) 4.0508 (0.2894) 3.0714 (0.2110)