International Scholarly Research Notices

Research Article

Inference for the Geometric Extreme Exponential Distribution under Progressive Type II Censoring

Table 2

Absolute bias, variance, and variance from observed Fisher information for the MLE of 𝜆 .
𝑛 𝑚 SchemeAB( ̂ 𝜆 )var( ̂ 𝜆 ) 𝐼 1 1
15 5 (10, 4 * 0) 0.0845 0.1124 0.1087
15 5 (4 * 0, 10) 0.0876 0.1174 0.1113
15 5 (5 * 2) 0.0862 0.1156 0.1145
15 6 (9, 5 * 0) 0.0745 0.0963 0.0917
15 6 (5 * 0, 9) 0.0810 0.1035 0.0943
15 6 (3 * 3, 3 * 0) 0.0788 0.1012 0.0922
15 7 (8, 6 * 0) 0.0689 0.0897 0.0842
15 7 (6 * 0, 8) 0.0736 0.0940 0.0912
15 7 (3 * 0, 4 * 2) 0.0755 0.0928 0.0892
20 6 (14, 5 * 0) 0.0644 0.0912 0.0878
20 6 (5 * 0, 14) 0.0689 0.0964 0.0912
20 6 (2 * 7, 4 * 0) 0.0674 0.0936 0.0890
20 8 (12, 7 * 0) 0.0574 0.0734 0.0701
20 8 (7 * 0, 12) 0.0619 0.0792 0.0723
20 8 (3 * 4, 5 * 0) 0.0604 0.0756 0.0716
20 10 (10, 9 * 0) 0.0511 0.0612 0.0579
20 10 (9 * 0, 10) 0.0556 0.0641 0.0618
20 10 (10 * 1) 0.0544 0.0632 0.0609
30 8 (22, 7 * 0) 0.0513 0.0667 0.0634
30 8 (7 * 0, 22) 0.0576 0.0689 0.0655
30 8 (8, 8, 6, 5 * 0) 0.0566 0.0671 0.0640
30 10 (20, 9 * 0) 0.0409 0.0581 0.0487
30 10 (9 * 0, 20) 0.0452 0.0621 0.0595
30 10 (10 * 2) 0.0444 0.0604 0.0543
30 15 (15, 14 * 0) 0.0346 0.0497 0.0442
30 15 (14 * 0, 15) 0.0380 0.0544 0.0507
30 15 (15 * 1) 0.0354 0.0530 0.0487
40 15 (25, 14 * 0) 0.0276 0.0482 0.0424
40 15 (14 * 0, 25) 0.0312 0.0512 0.0464
40 15 (10, 8, 7, 12 * 0) 0.0283 0.0491 0.0448
40 20 (20, 19 * 0) 0.0214 0.0423 0.0394
40 20 (19 * 0, 20) 0.0288 0.0449 0.0412
40 20 (20 * 1) 0.0294 0.0433 0.0407
50 20 (30, 19 * 0) 0.0204 0.0387 0.0325
50 20 (19 * 0, 30) 0.0298 0.0422 0.0401
50 20 (3 * 10, 17 * 0) 0.0254 0.0408 0.0385
50 25 (25, 24 * 0) 0.0140 0.0319 0.0279
50 25 (24 * 0, 25) 0.0199 0.0335 0.0308
5025(25 * 1)0.01940.03240.0309