Journal of Mathematics / 2023 / Article / Tab 8 / Research Article
Statistical Prediction Based on Ordered Ranked Set Sampling Using Type-II Censored Data from the Rayleigh Distribution under Progressive-Stress Accelerated Life Tests Table 8 BPPRs using SER and LEX loss functions for
(two-cycle).
Exact value SER LEX ABPPR BIAS MSPER ABPPR BIAS MSPER ABPPR BIAS MSPER 1 5 2 1 0.69438 0.58506 0.00328 0.00353 0.58615 0.00437 0.00354 0.58402 0.00224 0.00352 0.88627 0.86742 0.01317 0.01658 0.87328 0.01903 0.01678 0.86179 0.00754 0.01647 1.18939 1.39627 0.03011 0.05564 1.4186 0.05243 0.05752 1.37576 0.0096 0.05482 2 0.65358 0.5447 0.00261 0.00323 0.54142 −0.00066 0.00544 0.54992 0.00783 0.00556 0.82822 0.81225 0.0154 0.01493 0.81795 0.02111 0.01515 0.80681 0.00996 0.01479 1.12003 1.31911 0.03713 0.04995 1.34182 0.05983 0.05225 1.29829 0.01631 0.04879 3 1 0.88627 0.79665 0.00267 0.00796 0.79893 0.00494 0.00797 0.7945 0.00051 0.00795 1.18939 1.29083 0.01329 0.05736 1.30881 0.03127 0.05817 1.27415 −0.00339 0.0572 2 0.83017 0.74382 0.00334 0.007 0.7457 0.00522 0.00703 0.74218 0.00169 0.007 1.11609 1.21342 0.0182 0.05068 1.23093 0.03571 0.05164 1.19726 0.00204 0.05035 4 1 1.18939 1.15677 0.0046 0.04579 1.16982 0.01764 0.04609 1.14498 −0.00719 0.04583 2 1.11609 1.07954 0.00668 0.04145 1.09196 0.0191 0.04178 1.06833 −0.00453 0.04144 2 5 2 1 0.68266 0.58088 0.00331 0.00362 0.58199 0.00442 0.00363 0.57981 0.00225 0.00361 0.88878 0.86386 0.01319 0.01676 0.86978 0.01911 0.01696 0.85818 0.00751 0.01665 1.18128 1.39424 0.0301 0.05583 1.41664 0.05249 0.05773 1.37367 0.00953 0.05501 2 0.64523 0.54401 0.00276 0.00329 0.54141 0.00016 0.00443 0.54828 0.00702 0.00452 0.83682 0.81613 0.01538 0.01487 0.82182 0.02107 0.01509 0.81069 0.00995 0.01473 1.11542 1.31996 0.03715 0.05001 1.34268 0.05987 0.05231 1.29913 0.01632 0.04885 3 1 0.88878 0.78993 0.00268 0.00811 0.79224 0.00499 0.00813 0.78773 0.00048 0.0081 1.18128 1.28221 0.01328 0.05772 1.30028 0.03135 0.05854 1.26544 −0.00349 0.05757 2 0.83786 0.74267 0.00336 0.00707 0.74474 0.00542 0.00709 0.74075 0.00143 0.00706 1.11542 1.21218 0.01821 0.05081 1.22972 0.03576 0.05178 1.19598 0.00202 0.05049 4 1 1.18128 1.1492 0.0046 0.04641 1.16242 0.01782 0.04672 1.13726 −0.00734 0.04645 2 1.11542 1.08764 0.00668 0.04086 1.0999 0.01894 0.04118 1.07658 −0.00439 0.04084