Journal of Probability and Statistics / 2020 / Article / Tab 6 / Research Article
Estimation of Generalized Gompertz Distribution Parameters under Ranked-Set Sampling Table 6 Coverage probability (CP) and half length (HL) of the MLE and Bayes estimates under RSS and SRS for different sample sizes and different set sizes when
, , and
. MLE Bayes MLE Bayes MLE Bayes Sampling CP HL CP HL CP HL CP HL CP HL CP HL SRS 0.818 2.297 0.976 2.410 0.979 3.368 0.963 1.759 0.931 0.680 0.961 0.939 RSS 2 0.839 2.083 0.971 2.087 0.984 3.010 0.953 1.629 0.934 0.600 0.967 0.771 5 0.833 1.642 0.969 1.643 0.983 2.524 0.949 1.463 0.928 0.443 0.959 0.557 SRS 0.874 1.438 0.950 1.311 0.986 1.743 0.950 1.079 0.950 0.371 0.950 0.409 RSS 2 0.885 1.314 0.950 1.179 0.982 1.622 0.950 1.044 0.946 0.337 0.950 0.340 5 0.886 1.095 0.950 0.949 0.976 1.420 0.950 0.951 0.945 0.277 0.950 0.268 SRS 0.920 0.856 0.949 0.792 0.970 0.902 0.952 0.705 0.957 0.210 0.949 0.209 RSS 2 0.925 0.787 0.951 0.730 0.969 0.858 0.949 0.691 0.955 0.194 0.951 0.191 5 0.934 0.674 0.951 0.635 0.969 0.778 0.951 0.656 0.955 0.164 0.950 0.162 SRS 0.929 0.593 0.949 0.618 0.961 0.596 0.952 0.573 0.959 0.144 0.949 0.148 RSS 2 0.943 0.551 0.949 0.583 0.963 0.571 0.951 0.560 0.960 0.133 0.950 0.141 5 0.947 0.471 0.950 0.501 0.958 0.523 0.950 0.538 0.955 0.114 0.951 0.120