Research Article
Stress-Strength Reliability for Exponentiated Inverted Weibull Distribution with Application on Breaking of Jute Fiber and Carbon Fibers
Table 4
The length of bootstrap CI for stress-strength reliability with different level of intervals: Case 1.
| | 0.1 | 3 | | 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 | 0.00657 | 0.00658 | 0.00764 | 0.00764 | 0.01029 | 0.01030 | 0.00129 | 0.00128 | 0.00151 | 0.00152 | 0.00201 | 0.00200 | MPSE | 0.00623 | 0.00628 | 0.00748 | 0.00744 | 0.01001 | 0.00991 | 0.00123 | 0.00124 | 0.00147 | 0.00147 | 0.00204 | 0.00204 | MSADE | 0.00704 | 0.00708 | 0.00844 | 0.00846 | 0.01115 | 0.01130 | 0.00407 | 0.00403 | 0.00495 | 0.00494 | 0.00681 | 0.00667 | MSALDE | 0.00707 | 0.00707 | 0.00850 | 0.00845 | 0.01070 | 0.01073 | 0.00166 | 0.00167 | 0.00201 | 0.00201 | 0.00262 | 0.00273 | LSE | 0.00668 | 0.00676 | 0.00794 | 0.00781 | 0.01063 | 0.01085 | 0.00165 | 0.00164 | 0.00202 | 0.00203 | 0.00256 | 0.00258 | WLSE | 0.00674 | 0.00680 | 0.00812 | 0.00811 | 0.01034 | 0.01034 | 0.00164 | 0.00163 | 0.00191 | 0.00191 | 0.00249 | 0.00250 | CME | 0.00744 | 0.00744 | 0.00900 | 0.00900 | 0.01154 | 0.01158 | 0.00158 | 0.00158 | 0.00195 | 0.00196 | 0.00255 | 0.00256 | ADE | 0.00620 | 0.00622 | 0.00764 | 0.00758 | 0.00987 | 0.00978 | 0.00218 | 0.00217 | 0.00255 | 0.00259 | 0.00332 | 0.00344 |
| 35, 45 | MLE | 0.00586 | 0.00592 | 0.00724 | 0.00718 | 0.00948 | 0.00943 | 0.00118 | 0.00117 | 0.00142 | 0.00141 | 0.00184 | 0.00185 | MPSE | 0.00629 | 0.00607 | 0.00735 | 0.00744 | 0.00974 | 0.00979 | 0.00122 | 0.00122 | 0.00146 | 0.00146 | 0.00185 | 0.00188 | MSADE | 0.00690 | 0.00697 | 0.00832 | 0.00838 | 0.01165 | 0.01135 | 0.00390 | 0.00394 | 0.00473 | 0.00480 | 0.00610 | 0.00653 | MSALDE | 0.00674 | 0.00669 | 0.00786 | 0.00782 | 0.00982 | 0.00993 | 0.00167 | 0.00169 | 0.00202 | 0.00203 | 0.00252 | 0.00252 | LSE | 0.00668 | 0.00668 | 0.00790 | 0.00790 | 0.01061 | 0.01061 | 0.00151 | 0.00150 | 0.00177 | 0.00178 | 0.00233 | 0.00232 | WLSE | 0.00621 | 0.00626 | 0.00770 | 0.00772 | 0.01054 | 0.01081 | 0.00147 | 0.00145 | 0.00170 | 0.00172 | 0.00215 | 0.00216 | CME | 0.00676 | 0.00680 | 0.00836 | 0.00839 | 0.01140 | 0.01133 | 0.00143 | 0.00141 | 0.00170 | 0.00169 | 0.00224 | 0.00226 | ADE | 0.00574 | 0.00575 | 0.00674 | 0.00674 | 0.00875 | 0.00877 | 0.00206 | 0.00209 | 0.00245 | 0.00244 | 0.00341 | 0.00347 |
| 50, 60 | MLE | 0.00505 | 0.00500 | 0.00598 | 0.00598 | 0.00814 | 0.00821 | 0.00108 | 0.00108 | 0.00125 | 0.00125 | 0.00161 | 0.00162 | MPSEE | 0.00484 | 0.00472 | 0.00585 | 0.00586 | 0.00815 | 0.00796 | 0.00109 | 0.00109 | 0.00126 | 0.00126 | 0.00163 | 0.00163 | MSADE | 0.00618 | 0.00620 | 0.00740 | 0.00737 | 0.00931 | 0.00933 | 0.00297 | 0.00302 | 0.00369 | 0.00365 | 0.00465 | 0.00482 | MSALDE | 0.00569 | 0.00568 | 0.00677 | 0.00681 | 0.00910 | 0.00908 | 0.00136 | 0.00134 | 0.00161 | 0.00163 | 0.00216 | 0.00220 | LSE | 0.00552 | 0.00547 | 0.00650 | 0.00652 | 0.00887 | 0.00884 | 0.00142 | 0.00142 | 0.00166 | 0.00166 | 0.00211 | 0.00211 | WLSE | 0.00558 | 0.00558 | 0.00681 | 0.00685 | 0.00947 | 0.00936 | 0.00124 | 0.00123 | 0.00148 | 0.00149 | 0.00211 | 0.00207 | CME | 0.00597 | 0.00600 | 0.00694 | 0.00697 | 0.00908 | 0.00901 | 0.00131 | 0.00133 | 0.00163 | 0.00162 | 0.00211 | 0.00209 | ADE | 0.00442 | 0.00438 | 0.00534 | 0.00517 | 0.00686 | 0.00689 | 0.00206 | 0.00203 | 0.00235 | 0.00236 | 0.00322 | 0.00322 |
| 70, 80 | MLE | 0.00405 | 0.00416 | 0.00501 | 0.00497 | 0.00646 | 0.00659 | 0.00087 | 0.00087 | 0.00105 | 0.00106 | 0.00146 | 0.00146 | MPSE | 0.00407 | 0.00412 | 0.00488 | 0.00488 | 0.00669 | 0.00662 | 0.00088 | 0.00091 | 0.00108 | 0.00108 | 0.00143 | 0.00153 | MSADE | 0.00512 | 0.00513 | 0.00623 | 0.00628 | 0.00807 | 0.00807 | 0.00191 | 0.00192 | 0.00230 | 0.00230 | 0.00310 | 0.00311 | MSALDE | 0.00480 | 0.00483 | 0.00598 | 0.00596 | 0.00787 | 0.00798 | 0.00108 | 0.00110 | 0.00130 | 0.00129 | 0.00168 | 0.00168 | LSE | 0.00465 | 0.00464 | 0.00557 | 0.00555 | 0.00797 | 0.00791 | 0.00108 | 0.00107 | 0.00128 | 0.00128 | 0.00181 | 0.00178 | WLSE | 0.00463 | 0.00461 | 0.00551 | 0.00551 | 0.00762 | 0.00774 | 0.00100 | 0.00101 | 0.00123 | 0.00120 | 0.00153 | 0.00153 | CME | 0.00492 | 0.00484 | 0.00585 | 0.00583 | 0.00782 | 0.00781 | 0.00110 | 0.00111 | 0.00129 | 0.00130 | 0.00160 | 0.00160 | ADE | 0.00382 | 0.00378 | 0.00449 | 0.00449 | 0.00579 | 0.00575 | 0.00177 | 0.00178 | 0.00217 | 0.00219 | 0.00284 | 0.00280 |
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