Research Article

Inference on Exponentiated Power Lindley Distribution Based on Order Statistics with Application

Table 6

Simulated values of the distribution of when and .

1%2.50%5%10%90%95%97.50%99%

170−1.291825−1.262013−1.219325−1.1494672.2223953.5238474.9400927.134944
1−1.293906−1.257118−1.216151−1.1405512.3503433.7650885.3893017.852344
2−1.252756−1.219676−1.181444−1.1062552.5459324.1591476.0760958.899025
100−1.323036−1.286828−1.242329−1.1653812.1100513.2236124.4983126.167443
1−1.308061−1.270312−1.231131−1.1616112.1489753.2627314.5249376.631667
2−1.294854−1.264969−1.227509−1.1574872.2529173.4117044.7047526.501364
3−1.291825−1.262013−1.219325−1.1494672.2223953.5238474.9400927.134944
4−1.293906−1.257118−1.216151−1.1405512.3503433.7650885.3893017.852344

270−1.299635−1.254525−1.210859−1.1400812.3200863.5840045.1717397.060132
1−1.269125−1.231214−1.188392−1.1193882.4772813.8719415.4052747.898144
2−1.234267−1.201231−1.165376−1.0941192.6208754.1256885.9525718.910766
100−1.316707−1.279803−1.234296−1.1556442.1277523.2572334.5117555.975934
1−1.318328−1.274231−1.231598−1.1525252.1589893.3807084.5544986.349453
2−1.306309−1.266361−1.220428−1.1427382.2270793.4869144.6948816.876191
3−1.299635−1.254525−1.210859−1.1400812.3200863.5840045.1717397.060132
4−1.269125−1.231214−1.188392−1.1193882.4772813.8719415.4052747.898144

370−1.289032−1.249364−1.210882−1.1316582.2407143.4579874.9177267.291664
1−1.258874−1.224641−1.180973−1.1030542.3198613.7130395.3049178.216081
2−1.243127−1.210756−1.171678−1.0994422.5213284.0719256.0716649.205739
100−1.340722−1.297027−1.250248−1.1740112.0807143.2467394.4594086.277229
1−1.326197−1.285656−1.237163−1.1553452.0906443.2918854.7507226.487507
2−1.313368−1.278006−1.229561−1.1521972.1731853.3662414.7640536.650645
3−1.289032−1.249364−1.210882−1.1316582.2407143.4579874.9177267.291664
4−1.258874−1.224641−1.180973−1.1030542.3198613.7130395.3049178.216081