Table 6 MLEs, MSEs, lower 95% ACI limit (L95%CL), upper 95% ACI limit (U95%CL), 95% ACI length (95%ACIL) and 95% ACI coverage probability (95%ACICP) under multiply censored data with \(\left( {\alpha = 0.2,\beta = 1.6,\theta = 2.5,CL = 0.20,\tau = 5} \right)\).
n | Parameters | MLEs | MSEs | L95%CL | U95%CL | 95%ACIL | 95%ACICP |
|---|---|---|---|---|---|---|---|
80 | \(\alpha\) | 0.1674595 | 0.0205570 | 0.1271677 | 0.2077513 | 0.080583 | 95.33905 |
\(\beta\) | 1.769901 | 0.737674 | 0.32406 | 3.215742 | 2.891653 | 95.19905 | |
\(\theta\) | 2.769546 | 0.7580471 | 1.283774 | 4.255319 | 2.971515 | 94.73905 | |
90 | \(\alpha\) | 0.1658654 | 0.0193200 | 0.1279981 | 0.2037327 | 0.075734 | 95.17905 |
\(\beta\) | 1.688259 | 0.6639709 | 0.3868759 | 2.989642 | 2.60274 | 95.68904 | |
\(\theta\) | 2.810845 | 0.7488733 | 1.343053 | 4.278637 | 2.935555 | 94.94905 | |
100 | \(\alpha\) | 0.1641433 | 0.0181911 | 0.1284886 | 0.199798 | 0.071309 | 95.12905 |
\(\beta\) | 1.695375 | 0.6315235 | 0.4575886 | 2.933161 | 2.475548 | 95.41905 | |
\(\theta\) | 2.870894 | 0.7401584 | 1.420184 | 4.321605 | 2.901392 | 95.42905 | |
110 | \(\alpha\) | 0.1658051 | 0.0175181 | 0.1314695 | 0.2001406 | 0.06867 | 94.97905 |
\(\beta\) | 1.687168 | 0.6067909 | 0.4978576 | 2.876478 | 2.378597 | 95.71904 | |
\(\theta\) | 2.871401 | 0.7416124 | 1.41784 | 4.324961 | 2.907092 | 95.65904 | |
120 | \(\alpha\) | 0.164657 | 0.0167029 | 0.1319192 | 0.1973949 | 0.065475 | 95.24905 |
\(\beta\) | 1.7164 | 0.5776405 | 0.5842243 | 2.848575 | 2.264328 | 95.64904 | |
\(\theta\) | 2.876607 | 0.7224927 | 1.460521 | 4.292693 | 2.832144 | 95.55904 |
