Research Article
Parameter Estimation and Joint Confidence Regions for the Parameters of the Generalized Lindley Distribution
Table 3
Results of the methods for constructing intervals for
with confidence level
.
| | Methods | ā | | | | | |
| | | Mean width | 2.4282 | 2.4056 | 2.3482 | 2.3093 | 2.2885 | Coverage rate | 0.947 | 0.947 | 0.941 | 0.944 | 0.951 | | Mean width | 1.3872 | 1.3424 | 1.2958 | 1.2705 | 1.2539 | Coverage rate | 0.948 | 0.942 | 0.955 | 0.943 | 0.952 |
| 40 | | Mean width | 2.2463 | 2.2405 | 2.2048 | 2.1733 | 2.1644 | Coverage rate | 0.945 | 0.95 | 0.947 | 0.957 | 0.958 | | Mean width | 1.1937 | 1.1545 | 1.1209 | 1.0939 | 1.0828 | Coverage rate | 0.947 | 0.938 | 0.938 | 0.958 | 0.948 |
| 50 | | Mean width | 2.1506 | 2.107 | 2.0635 | 2.0356 | 2.0293 | Coverage rate | 0.953 | 0.945 | 0.936 | 0.954 | 0.949 | | Mean width | 1.0566 | 1.0174 | 0.9953 | 0.9732 | 0.9563 | Coverage rate | 0.953 | 0.945 | 0.943 | 0.947 | 0.95 |
| 60 | | Mean width | 2.0555 | 2.0197 | 1.98 | 1.9502 | 1.9397 | Coverage rate | 0.953 | 0.952 | 0.955 | 0.948 | 0.951 | | Mean width | 0.9627 | 0.9331 | 0.9021 | 0.8856 | 0.8692 | Coverage rate | 0.94 | 0.957 | 0.952 | 0.942 | 0.952 |
| | | Mean width | 1.9277 | 1.8859 | 1.8485 | 1.8418 | 1.8412 | Coverage rate | 0.958 | 0.959 | 0.956 | 0.961 | 0.941 | | Mean width | 0.831 | 0.7995 | 0.777 | 0.7599 | 0.7521 | Coverage rate | 0.952 | 0.947 | 0.942 | 0.951 | 0.951 |
| | | Mean width | 1.8251 | 1.7883 | 1.7849 | 1.7729 | 1.7633 | Coverage rate | 0.954 | 0.948 | 0.951 | 0.946 | 0.956 | | Mean width | 0.7423 | 0.7119 | 0.6947 | 0.6804 | 0.6684 | Coverage rate | 0.937 | 0.961 | 0.946 | 0.948 | 0.947 |
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