Research Article
Stress-Strength Reliability for Exponentiated Inverted Weibull Distribution with Application on Breaking of Jute Fiber and Carbon Fibers
Table 6
The length of bootstrap CI for stress-strength reliability with different level of intervals: Case 3.
| | 0.4 | 1.5 | | 90% | 95% | 99% | 90% | 95% | 99% | n, m | 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 | 0.00588 | 0.00587 | 0.00712 | 0.00713 | 0.01018 | 0.01017 | 0.00529 | 0.00538 | 0.00620 | 0.00625 | 0.00885 | 0.00870 | MPSE | 0.00619 | 0.00630 | 0.00748 | 0.00751 | 0.00925 | 0.00927 | 0.00535 | 0.00546 | 0.00647 | 0.00644 | 0.00835 | 0.00801 | MSADE | 0.00693 | 0.00701 | 0.00828 | 0.00838 | 0.01189 | 0.01070 | 0.00697 | 0.00688 | 0.00825 | 0.00832 | 0.01067 | 0.01074 | MSALDE | 0.00698 | 0.00698 | 0.00802 | 0.00802 | 0.01058 | 0.01057 | 0.00613 | 0.00610 | 0.00707 | 0.00720 | 0.01045 | 0.01032 | LSE | 0.00664 | 0.00664 | 0.00807 | 0.00807 | 0.01066 | 0.01065 | 0.00582 | 0.00581 | 0.00712 | 0.00697 | 0.00955 | 0.00984 | WLSE | 0.00675 | 0.00674 | 0.00801 | 0.00805 | 0.01058 | 0.01032 | 0.00628 | 0.00628 | 0.00720 | 0.00717 | 0.00924 | 0.00916 | CME | 0.00690 | 0.00686 | 0.00884 | 0.00879 | 0.01185 | 0.01149 | 0.00607 | 0.00606 | 0.00727 | 0.00727 | 0.01031 | 0.01032 | ADE | 0.00651 | 0.00643 | 0.00792 | 0.00780 | 0.01031 | 0.01040 | 0.00530 | 0.00530 | 0.00625 | 0.00628 | 0.00866 | 0.00871 |
| 35, 45 | MLE | 0.00616 | 0.00607 | 0.00725 | 0.00712 | 0.00976 | 0.00971 | 0.00489 | 0.00489 | 0.00594 | 0.00594 | 0.00838 | 0.00838 | MPSE | 0.00585 | 0.00589 | 0.00713 | 0.00715 | 0.01039 | 0.01052 | 0.00488 | 0.00489 | 0.00582 | 0.00582 | 0.00781 | 0.00781 | MSADE | 0.00686 | 0.00686 | 0.00826 | 0.00821 | 0.01091 | 0.01102 | 0.00671 | 0.00665 | 0.00787 | 0.00782 | 0.01018 | 0.00997 | MSALDE | 0.00676 | 0.00689 | 0.00840 | 0.00831 | 0.01060 | 0.01078 | 0.00557 | 0.00555 | 0.00648 | 0.00649 | 0.00898 | 0.00903 | LSE | 0.00635 | 0.00637 | 0.00783 | 0.00782 | 0.01019 | 0.01021 | 0.00556 | 0.00561 | 0.00674 | 0.00673 | 0.00936 | 0.00934 | WLSE | 0.00630 | 0.00641 | 0.00768 | 0.00769 | 0.00969 | 0.00968 | 0.00538 | 0.00540 | 0.00637 | 0.00641 | 0.00860 | 0.00850 | CME | 0.00676 | 0.00670 | 0.00782 | 0.00793 | 0.01056 | 0.01075 | 0.00601 | 0.00593 | 0.00695 | 0.00702 | 0.00969 | 0.00873 | ADE | 0.00579 | 0.00579 | 0.00675 | 0.00681 | 0.00975 | 0.00975 | 0.00472 | 0.00474 | 0.00574 | 0.00572 | 0.00747 | 0.00751 |
| 50, 60 | MLE | 0.00540 | 0.00547 | 0.00658 | 0.00632 | 0.00862 | 0.00848 | 0.00412 | 0.00411 | 0.00512 | 0.00511 | 0.00676 | 0.00683 | MPSE | 0.00533 | 0.00535 | 0.00619 | 0.00613 | 0.00775 | 0.00768 | 0.00415 | 0.00410 | 0.00495 | 0.00497 | 0.00664 | 0.00656 | MSADE | 0.00593 | 0.00593 | 0.00702 | 0.00704 | 0.00904 | 0.00901 | 0.00561 | 0.00550 | 0.00670 | 0.00668 | 0.00930 | 0.00906 | MSALDE | 0.00583 | 0.00575 | 0.00666 | 0.00665 | 0.00947 | 0.00945 | 0.00462 | 0.00475 | 0.00569 | 0.00562 | 0.00797 | 0.00786 | LSE | 0.00544 | 0.00543 | 0.00662 | 0.00666 | 0.00834 | 0.00874 | 0.00471 | 0.00468 | 0.00558 | 0.00557 | 0.00716 | 0.00709 | WLSE | 0.00523 | 0.00524 | 0.00610 | 0.00611 | 0.00848 | 0.00847 | 0.00426 | 0.00422 | 0.00507 | 0.00508 | 0.00698 | 0.00698 | CME | 0.00539 | 0.00540 | 0.00642 | 0.00630 | 0.00869 | 0.00866 | 0.00474 | 0.00477 | 0.00576 | 0.00581 | 0.00726 | 0.00745 | ADE | 0.00462 | 0.00464 | 0.00538 | 0.00538 | 0.00773 | 0.00778 | 0.00385 | 0.00383 | 0.00472 | 0.00472 | 0.00592 | 0.00595 |
| 70, 80 | MLE | 0.00439 | 0.00439 | 0.00517 | 0.00517 | 0.00616 | 0.00616 | 0.00351 | 0.00360 | 0.00421 | 0.00423 | 0.00544 | 0.00593 | MPSE | 0.00423 | 0.00425 | 0.00516 | 0.00512 | 0.00684 | 0.00692 | 0.00352 | 0.00348 | 0.00409 | 0.00410 | 0.00551 | 0.00555 | MSADE | 0.00498 | 0.00481 | 0.00596 | 0.00585 | 0.00798 | 0.00797 | 0.00471 | 0.00480 | 0.00575 | 0.00569 | 0.00748 | 0.00749 | MSALDE | 0.00478 | 0.00477 | 0.00583 | 0.00574 | 0.00773 | 0.00776 | 0.00418 | 0.00415 | 0.00499 | 0.00497 | 0.00664 | 0.00655 | LSE | 0.00487 | 0.00479 | 0.00592 | 0.00589 | 0.00747 | 0.00737 | 0.00402 | 0.00402 | 0.00475 | 0.00475 | 0.00635 | 0.00634 | WLSE | 0.00477 | 0.00478 | 0.00583 | 0.00592 | 0.00751 | 0.00750 | 0.00378 | 0.00378 | 0.00461 | 0.00461 | 0.00597 | 0.00597 | CME | 0.00479 | 0.00478 | 0.00558 | 0.00559 | 0.00760 | 0.00760 | 0.00420 | 0.00423 | 0.00506 | 0.00496 | 0.00637 | 0.00636 | ADE | 0.00378 | 0.00387 | 0.00461 | 0.00459 | 0.00589 | 0.00582 | 0.00335 | 0.00337 | 0.00400 | 0.00401 | 0.00505 | 0.00504 |
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