Research Article
Stress-Strength Reliability for Exponentiated Inverted Weibull Distribution with Application on Breaking of Jute Fiber and Carbon Fibers
Table 5
The length of bootstrap CI for stress-strength reliability with different level of intervals: Case 2.
| | 0.4 | 2 | | 90% | 95% | 99% | 90% | 95% | 99% | | ā | L.BP | L.BCP | L.BP | L.BCP | L.BP | L.BCP | L.BP | L.BCP | L.BP | L.BCP | L.BP | L.BCP |
| 30, 40 | MLE | 0.00321 | 0.00320 | 0.00393 | 0.00396 | 0.00493 | 0.00493 | 0.00652 | 0.00653 | 0.00765 | 0.00767 | 0.01011 | 0.01049 | MPSE | 0.00326 | 0.00327 | 0.00392 | 0.00393 | 0.00537 | 0.00530 | 0.00644 | 0.00642 | 0.00763 | 0.00758 | 0.01048 | 0.01050 | MSADE | 0.00689 | 0.00684 | 0.00805 | 0.00807 | 0.01032 | 0.01012 | 0.00726 | 0.00723 | 0.00875 | 0.00883 | 0.01161 | 0.01170 | MSALDE | 0.00406 | 0.00408 | 0.00497 | 0.00497 | 0.00655 | 0.00642 | 0.00686 | 0.00687 | 0.00831 | 0.00833 | 0.01064 | 0.01064 | LSE | 0.00373 | 0.00376 | 0.00443 | 0.00442 | 0.00575 | 0.00575 | 0.00706 | 0.00711 | 0.00867 | 0.00858 | 0.01125 | 0.01131 | WLSE | 0.00361 | 0.00362 | 0.00427 | 0.00429 | 0.00563 | 0.00562 | 0.00679 | 0.00679 | 0.00793 | 0.00794 | 0.01074 | 0.01076 | CME | 0.00369 | 0.00369 | 0.00443 | 0.00464 | 0.00607 | 0.00605 | 0.00721 | 0.00715 | 0.00834 | 0.00837 | 0.01101 | 0.01104 | ADE | 0.00404 | 0.00396 | 0.00482 | 0.00483 | 0.00606 | 0.00622 | 0.00585 | 0.00585 | 0.00735 | 0.00733 | 0.00975 | 0.00966 |
| 35, 45 | MLE | 0.00312 | 0.00311 | 0.00370 | 0.00373 | 0.00444 | 0.00443 | 0.00564 | 0.00575 | 0.00689 | 0.00688 | 0.00839 | 0.00836 | MPSE | 0.00320 | 0.00311 | 0.00374 | 0.00370 | 0.00487 | 0.00492 | 0.00579 | 0.00592 | 0.00716 | 0.00710 | 0.00955 | 0.00976 | MSADE | 0.00617 | 0.00616 | 0.00723 | 0.00719 | 0.00952 | 0.00941 | 0.00668 | 0.00669 | 0.00851 | 0.00842 | 0.01074 | 0.01069 | MSALDE | 0.00361 | 0.00359 | 0.00406 | 0.00419 | 0.00583 | 0.00601 | 0.00646 | 0.00639 | 0.00745 | 0.00752 | 0.00945 | 0.00949 | LSE | 0.00354 | 0.00354 | 0.00428 | 0.00428 | 0.00578 | 0.00578 | 0.00664 | 0.00644 | 0.00787 | 0.00781 | 0.01064 | 0.01079 | WLSE | 0.00358 | 0.00356 | 0.00425 | 0.00428 | 0.00538 | 0.00559 | 0.00638 | 0.00621 | 0.00734 | 0.00740 | 0.01003 | 0.01014 | CME | 0.00363 | 0.00364 | 0.00424 | 0.00425 | 0.00570 | 0.00573 | 0.00700 | 0.00707 | 0.00835 | 0.00827 | 0.01122 | 0.01164 | ADE | 0.00384 | 0.00383 | 0.00486 | 0.00487 | 0.00582 | 0.00595 | 0.00575 | 0.00575 | 0.00701 | 0.00699 | 0.00932 | 0.00919 |
| 50, 60 | MLE | 0.00250 | 0.00248 | 0.00302 | 0.00305 | 0.00446 | 0.00446 | 0.00496 | 0.00495 | 0.00598 | 0.00599 | 0.00810 | 0.00813 | MPSE | 0.00251 | 0.00251 | 0.00306 | 0.00306 | 0.00418 | 0.00418 | 0.00515 | 0.00514 | 0.00626 | 0.00624 | 0.00824 | 0.00822 | MSADE | 0.00489 | 0.00490 | 0.00583 | 0.00584 | 0.00781 | 0.00778 | 0.00552 | 0.00550 | 0.00660 | 0.00658 | 0.00878 | 0.00891 | MSALDE | 0.00332 | 0.00330 | 0.00388 | 0.00394 | 0.00525 | 0.00533 | 0.00549 | 0.00549 | 0.00648 | 0.00649 | 0.00852 | 0.00853 | LSE | 0.00321 | 0.00313 | 0.00389 | 0.00392 | 0.00509 | 0.00515 | 0.00520 | 0.00517 | 0.00612 | 0.00609 | 0.00771 | 0.00775 | WLSE | 0.00286 | 0.00285 | 0.00342 | 0.00341 | 0.00481 | 0.00474 | 0.00514 | 0.00516 | 0.00633 | 0.00620 | 0.00801 | 0.00799 | CME | 0.00311 | 0.00312 | 0.00370 | 0.00369 | 0.00484 | 0.00480 | 0.00574 | 0.00564 | 0.00687 | 0.00687 | 0.00879 | 0.00883 | ADE | 0.00350 | 0.00353 | 0.00421 | 0.00410 | 0.00547 | 0.00550 | 0.00483 | 0.00478 | 0.00582 | 0.00584 | 0.00761 | 0.00756 |
| 70, 80 | MLE | 0.00227 | 0.00225 | 0.00267 | 0.00268 | 0.00363 | 0.00382 | 0.00407 | 0.00403 | 0.00510 | 0.00508 | 0.00658 | 0.00660 | MPSE | 0.00225 | 0.00225 | 0.00266 | 0.00265 | 0.00340 | 0.00340 | 0.00391 | 0.00384 | 0.00479 | 0.00489 | 0.00638 | 0.00633 | MSADE | 0.00353 | 0.00351 | 0.00427 | 0.00423 | 0.00583 | 0.00572 | 0.00516 | 0.00515 | 0.00644 | 0.00632 | 0.00843 | 0.00835 | MSALDE | 0.00262 | 0.00265 | 0.00317 | 0.00317 | 0.00424 | 0.00427 | 0.00489 | 0.00489 | 0.00558 | 0.00569 | 0.00820 | 0.00817 | LSE | 0.00274 | 0.00277 | 0.00335 | 0.00328 | 0.00441 | 0.00433 | 0.00472 | 0.00472 | 0.00565 | 0.00559 | 0.00740 | 0.00727 | WLSE | 0.00263 | 0.00262 | 0.00314 | 0.00322 | 0.00394 | 0.00399 | 0.00482 | 0.00482 | 0.00581 | 0.00576 | 0.00689 | 0.00697 | CME | 0.00281 | 0.00284 | 0.00320 | 0.00324 | 0.00439 | 0.00422 | 0.00462 | 0.00465 | 0.00558 | 0.00564 | 0.00781 | 0.00803 | ADE | 0.00309 | 0.00299 | 0.00367 | 0.00366 | 0.00499 | 0.00516 | 0.00382 | 0.00378 | 0.00445 | 0.00440 | 0.00573 | 0.00585 |
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