Research Article
Bayesian Estimation of the Stress-Strength Reliability Based on Generalized Order Statistics for Pareto Distribution
Table 5
Bias, MSE,
L, and CP of ML and Bayesian confidence interval based on GOS in the special case of Pareto distribution (
and
).
| | | | OOS | FR | PTII | | | | | | |
| 0.75 | 10, 10 | | −0.074 | 0.250 | −0.120 | 0.250 | 0.015 | 0.250 | | 0.018 | 0.062 | 0.185 | 0.063 | 0.008 | 0.062 | | 0.589 | 0.550 | 0.562 | 0.451 | 0.439 | 0.550 | | 0.896 | 0.950 | 0.961 | 0.951 | 0.962 | 0.962 | 10, 15 | | −0.136 | 0.250 | −0.647 | 0.248 | −0.067 | 0.250 | | 0.032 | 0.062 | 0.484 | 0.062 | 0.015 | 0.062 | | 0.543 | 0.550 | 0.491 | 0.451 | 0.384 | 0.551 | | 0.812 | 0.951 | 0.665 | 0.951 | 0.899 | 0.950 | 15, 10 | | −0.033 | 0.250 | 0.223 | 0.247 | 0.064 | 0.250 | | 0.010 | 0.062 | 0.067 | 0.161 | 0.009 | 0.062 | | 0.515 | 0.520 | 0.465 | 0.450 | 0.358 | 0.549 | | 0.929 | 0.959 | 0.972 | 0.950 | 0.965 | 0.951 | 20, 20 | | −0.093 | 0.250 | −0.151 | −0.357 | −0.007 | 0.250 | | 0.016 | 0.062 | 0.219 | 0.127 | 0.006 | 0.062 | | 0.447 | 0.505 | 0.464 | 0.406 | 0.348 | 0.548 | | 0.836 | 0.950 | 0.965 | 0.950 | 0.948 | 0.955 |
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