Table 10 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 \(\left( {\alpha = 0.2,\beta = 1.6,\theta = 2.5,CL = 0.30,\tau = 8} \right)\).
n | Parameters | MLEs | MSEs | L95%CL | U95%CL | 95%ACIL | 95%ACICP |
|---|---|---|---|---|---|---|---|
80 | \(\alpha\) | 0.177812 | 0.022881 | 0.132965 | 0.22266 | 0.089694 | 95.30905 |
\(\beta\) | 1.75734 | 0.751602 | 0.284201 | 3.230479 | 2.946249 | 95.80904 | |
\(\theta\) | 2.56948 | 0.738227 | 1.122556 | 4.016405 | 2.89382 | 95.01905 | |
90 | \(\alpha\) | 0.178401 | 0.021554 | 0.136155 | 0.220648 | 0.084492 | 95.34905 |
\(\beta\) | 1.73631 | 0.676127 | 0.411102 | 3.061518 | 2.650389 | 95.48905 | |
\(\theta\) | 2.584085 | 0.738027 | 1.137552 | 4.030617 | 2.893036 | 95.24905 | |
100 | \(\alpha\) | 0.1792 | 0.020719 | 0.138591 | 0.219809 | 0.081217 | 95.40905 |
\(\beta\) | 1.718056 | 0.641242 | 0.461222 | 2.97489 | 2.513643 | 95.81904 | |
\(\theta\) | 2.565261 | 0.72391 | 1.146397 | 3.984125 | 2.8377 | 95.08905 | |
110 | \(\alpha\) | 0.175728 | 0.019147 | 0.1382 | 0.213255 | 0.075054 | 95.40905 |
\(\beta\) | 1.764415 | 0.611778 | 0.565329 | 2.963501 | 2.398148 | 95.56904 | |
\(\theta\) | 2.619841 | 0.712766 | 1.222819 | 4.016862 | 2.794015 | 95.03905 | |
120 | \(\alpha\) | 0.176476 | 0.01852 | 0.140177 | 0.212776 | 0.072598 | 95.04905 |
\(\beta\) | 1.745166 | 0.589055 | 0.590618 | 2.899715 | 2.309074 | 95.45905 | |
\(\theta\) | 2.601612 | 0.699721 | 1.230159 | 3.973065 | 2.742879 | 95.01905 |
