Table 7 MLEs, MSEs, lower 95% ACI Limit (L95%CL), upper 95% ACI limit (U95%CL) and 95% ACI coverage probability (95%ACICP) under multiply censored data with \(\left( {\alpha = 0.2,\beta = 1.6,\theta = 2.5,CL = 0.30,\tau = 5} \right)\).
n | Parameters | MLEs | MSEs | L95%CL | U95%CL | 95%ACIL | 95%ACICP |
|---|---|---|---|---|---|---|---|
80 | \(\alpha\) | 0.171446 | 0.0213531 | 0.1295938 | 0.2132982 | 0.083704 | 95.18905 |
\(\beta\) | 1.962471 | 0.820904 | 0.3534995 | 3.571443 | 3.217911 | 95.50904 | |
\(\theta\) | 2.725251 | 0.7837417 | 1.189118 | 4.261385 | 3.072236 | 95.00905 | |
90 | \(\alpha\) | 0.1766426 | 0.0208124 | 0.1358502 | 0.217435 | 0.081584 | 95.45905 |
\(\beta\) | 1.841277 | 0.7137327 | 0.4423609 | 3.240193 | 2.797804 | 95.57904 | |
\(\theta\) | 2.682347 | 0.7729612 | 1.167344 | 4.197351 | 3.029977 | 94.69905 | |
100 | \(\alpha\) | 0.1772288 | 0.0203246 | 0.1373925 | 0.2170652 | 0.079672 | 95.40905 |
\(\beta\) | 1.837299 | 0.6865213 | 0.4917177 | 3.182881 | 2.691136 | 95.35905 | |
\(\theta\) | 2.694221 | 0.7757881 | 1.173676 | 4.214765 | 3.041059 | 95.10905 | |
110 | \(\alpha\) | 0.1750145 | 0.0189565 | 0.1378596 | 0.2121695 | 0.074309 | 95.47905 |
\(\beta\) | 1.85638 | 0.6671368 | 0.5487923 | 3.163969 | 2.615151 | 95.58904 | |
\(\theta\) | 2.742036 | 0.7588724 | 1.254647 | 4.229426 | 2.974749 | 95.16905 | |
120 | \(\alpha\) | 0.175405 | 0.0181038 | 0.1399213 | 0.2108886 | 0.070967 | 95.42905 |
\(\beta\) | 1.845531 | 0.6238778 | 0.6227309 | 3.068332 | 2.445577 | 95.51904 | |
\(\theta\) | 2.735305 | 0.7447443 | 1.275606 | 4.195004 | 2.919369 | 95.11905 |
