From: Extended cumulative entropy based on kth lower record values for the coherent systems lifetime
N | n | \({\mathcal{CE}}_{n,2}(T)\) | \(B_{1,n}\) | \(B_{2,n}\) | \(B_{2,n}{\mathcal{CE}}_{n,2}(X_{1})\) |
---|---|---|---|---|---|
1 | 3 | 0.1975 | 1 | 1 | 0.1975 |
4 | 0.1316 | 1 | 1 | 0.1316 | |
5 | 0.0877 | 1 | 1 | 0.0877 | |
2 | 3 | 0.1233 | 0 | 3.19 | 0.6300 |
4 | 0.0767 | 0 | 2.96 | 0.3895 | |
5 | 0.0489 | 0 | 2.75 | 0.2411 | |
3 | 3 | 0.2048 | 0 | 7.99 | 1.5780 |
4 | 0.1638 | 0 | 15.99 | 2.1042 | |
5 | 0.1310 | 0 | 31.99 | 2.8055 | |
4 | 3 | 0.0890 | 0 | 6.25 | 1.2343 |
4 | 0.0540 | 0 | 5.54 | 0.7290 | |
5 | 0.0338 | 0 | 4.90 | 0.4297 | |
5 | 3 | 0.1567 | 0 | 1.05 | 0.2073 |
4 | 0.1066 | 0 | 1.03 | 0.1355 | |
5 | 0.0730 | 0 | 1.01 | 0.0885 | |
6 | 3 | 0.1592 | 0 | 1.15 | 0.2271 |
4 | 0.1185 | 0 | 1.37 | 0.1802 | |
5 | 0.0901 | 0 | 1.73 | 0.1517 | |
7 | 3 | 0.1869 | 0 | 1.70 | 0.3357 |
4 | 0.1411 | 0 | 2.29 | 0.3013 | |
5 | 0.1082 | 0 | 3.19 | 0.2797 | |
8 | 3 | 0.1799 | 0 | 26.99 | 5.3305 |
4 | 0.1542 | 0 | 80.97 | 10.6556 | |
5 | 0.1321 | 0 | 242.93 | 21.3049 | |
9 | 3 | 0.0696 | 0 | 10.03 | 1.9809 |
4 | 0.0416 | 0 | 8.58 | 1.1291 | |
5 | 0.0258 | 0 | 7.35 | 0.6445 | |
10 | 3 | 0.1103 | 0 | 3.19 | 0.6300 |
4 | 0.0700 | 0 | 2.96 | 0.3895 | |
5 | 0.0455 | 0 | 2.75 | 0.2411 | |
11 | 3 | 0.1268 | 0 | 1.15 | 0.2271 |
4 | 0.0867 | 0 | 1.08 | 0.1421 | |
5 | 0.0603 | 0 | 1.04 | 0.0912 | |
12 | 3 | 0.1408 | 0 | 1.10 | 0.2172 |
4 | 0.0956 | 0 | 1.05 | 0.1381 | |
5 | 0.0659 | 0 | 1.03 | 0.0903 | |
13 | 3 | 0.1741 | 0 | 1.007 | 0.1988 |
4 | 0.1197 | 0 | 1.002 | 0.1318 | |
5 | 0.0820 | 0 | 1.0007 | 0.0877 | |
14 | 3 | 0.1277 | 0 | 1.0002 | 0.1975 |
4 | 0.0922 | 0 | 1.044 | 0.1373 | |
5 | 0.0686 | 0 | 1.15 | 0.1008 | |
15 | 3 | 0.1386 | 0 | 1.012 | 0.1998 |
4 | 0.1003 | 0 | 1.095 | 0.1441 | |
5 | 0.0748 | 0 | 1.253 | 0.1098 | |
16, 17 | 3 | 0.1496 | 0 | 1.054 | 0.2081 |
4 | 0.1093 | 0 | 1.193 | 0.1569 | |
5 | 0.0820 | 0 | 1.421 | 0.1246 | |
18, 19 | 3 | 0.1592 | 0 | 1.15 | 0.2271 |
4 | 0.1185 | 0 | 1.37 | 0.1802 | |
5 | 0.0901 | 0 | 1.73 | 0.1517 | |
20, 21 | 3 | 0.1655 | 0 | 1.32 | 0.2607 |
4 | 0.1264 | 0 | 1.71 | 0.2250 | |
5 | 0.0983 | 0 | 2.32 | 0.2034 | |
22 | 3 | 0.1661 | 0 | 1.59 | 0.3140 |
4 | 0.1306 | 0 | 2.28 | 0.3000 | |
5 | 0.1044 | 0 | 3.41 | 0.2990 | |
23 | 3 | 0.1580 | 0 | 1.96 | 0.3871 |
4 | 0.1263 | 0 | 3.11 | 0.4092 | |
5 | 0.103 | 0 | 5.22 | 0.4577 | |
24 | 3 | 0.1806 | 0 | 1.29 | 0.2547 |
4 | 0.1314 | 0 | 1.58 | 0.2079 | |
5 | 0.0980 | 0 | 2.004 | 0.1757 | |
25 | 3 | 0.1849 | 0 | 2.26 | 0.4463 |
4 | 0.1453 | 0 | 3.45 | 0.4540 | |
5 | 0.1157 | 0 | 5.45 | 0.4779 | |
26 | 3 | 0.1711 | 0 | 2.92 | 0.5767 |
4 | 0.1375 | 0 | 5.04 | 0.6632 | |
5 | 0.1125 | 0 | 9.08 | 0.7963 | |
27 | 3 | 0.1810 | 0 | 7.99 | 1.5780 |
4 | 0.1487 | 0 | 16 | 2.1056 | |
5 | 0.1234 | 0 | 32.41 | 2.8423 | |
28 | 3 | 0.1560 | 0 | 63.9 | 12.6202 |
4 | 0.1387 | 0 | 255.89 | 33.6751 | |
5 | 0.1233 | 0 | 1023.5 | 89.7609 |