Research Article
Half-Logistic Xgamma Distribution: Properties and Estimation under Censored Samples
Table 8
The sf and hrf estimates at
t0{3, 5, 10} of the HLXG distribution under TIIC.
| Parameters | | | Exact values | | | | | | | | |
| 0.5 | 0.5 | 30 | 21 | = 0.233346 = 0.122910 = 0.022299 = 0.316873 = 0.325682 = 0.357710 | 0.209338 | 0.099149 | 0.013145 | 0.366873 | 0.381720 | 0.426493 | 27 | 0.223111 | 0.110608 | 0.016766 | 0.345210 | 0.357746 | 0.397168 | 30 | 0.232564 | 0.119128 | 0.019874 | 0.329717 | 0.340573 | 0.376164 | 50 | 35 | 0.205363 | 0.099156 | 0.013952 | 0.358267 | 0.371267 | 0.413400 | 45 | 0.213266 | 0.105614 | 0.016006 | 0.346226 | 0.357975 | 0.397136 | 50 | 0.215099 | 0.107107 | 0.016494 | 0.343618 | 0.355109 | 0.393633 | 100 | 70 | 0.228756 | 0.118063 | 0.020173 | 0.326463 | 0.336412 | 0.370866 | 90 | 0.234576 | 0.123315 | 0.022232 | 0.317714 | 0.326775 | 0.359109 | 100 | 0.233687 | 0.122333 | 0.021784 | 0.319687 | 0.328987 | 0.361823 |
| 0.5 | 1.2 | 30 | 21 | = 0.0413473 = 0.0074909 = 0.0000601 = 0.8152270 = 0.8926640 = 1.0191500 | 0.021299 | 0.002269 | 0.000004 | 1.061410 | 1.172880 | 1.317870 | 27 | 0.025608 | 0.003150 | 0.000008 | 0.994555 | 1.097540 | 1.238630 | 30 | 0.028204 | 0.003736 | 0.000013 | 0.960171 | 1.058560 | 1.197370 | 50 | 35 | 0.021555 | 0.002348 | 0.000004 | 1.051110 | 1.161310 | 1.305730 | 45 | 0.028081 | 0.003789 | 0.000013 | 0.951551 | 1.048730 | 1.186930 | 50 | 0.029972 | 0.004258 | 0.000017 | 0.927689 | 1.021570 | 1.158020 | 100 | 70 | 0.034017 | 0.005185 | 0.000026 | 0.895045 | 0.984345 | 1.118220 | 90 | 0.036430 | 0.005859 | 0.000034 | 0.870220 | 0.955919 | 1.087670 | 100 | 0.036200 | 0.005796 | 0.000033 | 0.872305 | 0.958308 | 1.090240 |
| 1.7 | 0.9 | 30 | 21 | = 0.2849660 = 0.0861552 = 0.0028425 = 0.5597790 = 0.6288880 = 0.7261120 | 0.269852 | 0.071870 | 0.001641 | 0.617601 | 0.696475 | 0.803238 | 27 | 0.275798 | 0.076556 | 0.001969 | 0.598531 | 0.674527 | 0.778366 | 30 | 0.276290 | 0.077161 | 0.002020 | 0.595790 | 0.671264 | 0.774649 | 50 | 35 | 0.264273 | 0.072155 | 0.001778 | 0.607585 | 0.682591 | 0.787315 | 45 | 0.268432 | 0.074945 | 0.001969 | 0.597151 | 0.670820 | 0.773960 | 50 | 0.271044 | 0.076638 | 0.002087 | 0.591197 | 0.664155 | 0.766387 | 100 | 70 | 0.284424 | 0.082838 | 0.002446 | 0.576170 | 0.649138 | 0.749466 | 90 | 0.280601 | 0.080623 | 0.002291 | 0.582698 | 0.656203 | 0.757493 | 100 | 0.278566 | 0.079352 | 0.002201 | 0.586778 | 0.660712 | 0.762618 |
|
|