Research Article
An Analysis of Generalized Exponential Uniform Distribution
Table 4
Estimates of GEUD parameters, MSEs, and relative efficiencies.
| Para. | | Est. | MLE | Ade | Cvme | | | Est. | MSE | Est. | MSE | Est. | MSE |
| | 20 | | 0.7895 | 0.4811 | 0.6523 | 0.3889 | 0.9139 | 1.7288 | 0.8084 | 3.5934 | | | | 0.6552 | 0.1441 | 0.5567 | 0.1316 | 0.6636 | 0.2640 | 0.9133 | 1.8321 | | 50 | | 0.6010 | 0.0868 | 0.5473 | 0.0819 | 0.6286 | 0.1805 | 0.9435 | 2.0795 | | | | 0.5594 | 0.0403 | 0.5194 | 0.0428 | 0.5651 | 0.0760 | 1.0620 | 1.8859 | | 100 | | 0.5463 | 0.0315 | 0.5273 | 0.0359 | 0.5609 | 0.0631 | 1.1397 | 2.0032 | | | | 0.5284 | 0.0172 | 0.5126 | 0.0212 | 0.5341 | 0.0330 | 1.2326 | 1.9186 | | 200 | | 0.5218 | 0.0136 | 0.5116 | 0.0167 | 0.5289 | 0.0263 | 1.2279 | 1.9338 | | | | 0.5134 | 0.0080 | 0.5044 | 0.0102 | 0.5158 | 0.0155 | 1.2750 | 1.9375 |
| | 20 | | 0.7968 | 0.5111 | 0.6399 | 0.3671 | 0.9475 | 1.8572 | 0.7183 | 3.6337 | | | | 1.3076 | 0.5697 | 1.1060 | 0.5100 | 1.3578 | 1.1319 | 0.8952 | 1.9868 | | 50 | | 0.5987 | 0.0814 | 0.5516 | 0.0822 | 0.6281 | 0.1759 | 1.0098 | 2.1609 | | | | 1.1167 | 0.1546 | 1.0466 | 0.1740 | 1.1303 | 0.2958 | 1.1255 | 1.9133 | | 100 | | 0.5462 | 0.0306 | 0.5276 | 0.0361 | 0.5594 | 0.0617 | 1.1797 | 2.0163 | | | | 1.0560 | 0.0670 | 1.0266 | 0.0838 | 1.0636 | 0.1308 | 1.2507 | 1.9522 | | 200 | | 0.5239 | 0.0136 | 0.5102 | 0.0166 | 0.5293 | 0.0258 | 1.2206 | 1.8971 | | | | 1.0303 | 0.0322 | 1.0080 | 0.0415 | 1.0320 | 0.0606 | 1.2888 | 1.8820 |
| | 20 | | 0.8050 | 0.5790 | 0.6681 | 0.4459 | 0.9215 | 1.6718 | 0.7701 | 2.8874 | | | | 1.9813 | 1.3499 | 1.6951 | 1.2452 | 2.0104 | 2.4826 | 0.9224 | 1.8391 | | 50 | | 0.5987 | 0.0837 | 0.5511 | 0.0858 | 0.6240 | 0.1768 | 1.0251 | 2.1123 | | | | 1.6761 | 0.3577 | 1.5638 | 0.3992 | 1.6862 | 0.6682 | 1.1160 | 1.8680 | | 100 | | 0.5486 | 0.0310 | 0.5268 | 0.0362 | 0.5604 | 0.0624 | 1.1677 | 2.0129 | | | | 1.5926 | 0.1518 | 1.5348 | 0.1864 | 1.5976 | 0.2979 | 1.2279 | 1.9625 | | 200 | | 0.5232 | 0.0134 | 0.5119 | 0.0164 | 0.5263 | 0.0251 | 1.2239 | 1.8731 | | | | 1.5422 | 0.0709 | 1.5162 | 0.0917 | 1.5435 | 0.1355 | 1.2934 | 1.9111 |
| | 20 | | 2.1499 | 2.7581 | 1.8882 | 2.7542 | 2.5618 | 5.5440 | 0.9986 | 2.0101 | | | | 0.5767 | 0.0484 | 0.5294 | 0.0466 | 0.5843 | 0.0838 | 0.9628 | 1.7314 | | 50 | | 1.7325 | 0.5101 | 1.6311 | 0.5876 | 1.7850 | 0.9469 | 1.1519 | 1.8563 | | | | 0.5324 | 0.0156 | 0.5115 | 0.0165 | 0.5319 | 0.0244 | 1.0577 | 1.5641 | | 100 | | 1.6043 | 0.1873 | 1.5591 | 0.1987 | 1.6199 | 0.3022 | 1.0609 | 1.6135 | | | | 0.5145 | 0.0070 | 0.5047 | 0.0078 | 0.5132 | 0.0107 | 1.1143 | 1.5286 | | 200 | | 1.5490 | 0.0781 | 1.5330 | 0.0906 | 1.5514 | 0.1281 | 1.1601 | 1.6402 | | | | 0.5070 | 0.0033 | 0.5034 | 0.0038 | 0.5055 | 0.0051 | 1.1515 | 1.5455 |
| | 20 | | 2.1842 | 3.2019 | 1.8661 | 2.1821 | 2.5091 | 5.4180 | 0.6815 | 1.6921 | | | | 1.1587 | 0.2048 | 1.0493 | 0.1806 | 1.1701 | 0.3132 | 0.8818 | 1.5293 | | 50 | | 1.7225 | 0.4658 | 1.6217 | 0.4730 | 1.7779 | 0.8854 | 1.0155 | 1.9008 | | | | 1.0598 | 0.0586 | 1.0191 | 0.0648 | 1.0628 | 0.0972 | 1.1058 | 1.6587 | | 100 | | 1.6014 | 0.1828 | 1.5586 | 0.1961 | 1.1249 | 0.3151 | 1.0728 | 1.7237 | | | | 1.0288 | 0.0279 | 1.0099 | 0.0310 | 1.0278 | 0.0435 | 1.1111 | 1.5591 | | 200 | | 1.5458 | 0.0805 | 1.5288 | 0.0895 | 1.5578 | 0.1257 | 1.1118 | 1.5615 | | | | 1.0128 | 0.0134 | 1.0050 | 0.0152 | 1.0138 | 0.0201 | 1.1343 | 1.5000 |
| | 20 | | 2.1527 | 2.9065 | 1.8911 | 2.4409 | 2.5643 | 29.657 | 0.8398 | 10.204 | | | | 1.7217 | 0.4402 | 1.5942 | 0.4300 | 1.7523 | 0.7173 | 0.9768 | 1.6295 | | 50 | | 1.7151 | 0.4779 | 1.6201 | 0.4843 | 1.7515 | 0.8145 | 1.0134 | 1.7043 | | | | 1.5868 | 0.1375 | 1.5289 | 0.1436 | 1.5830 | 0.2054 | 1.0444 | 1.4938 | | 100 | | 1.5983 | 0.1788 | 1.5624 | 0.1997 | 1.6334 | 0.3113 | 1.1169 | 1.7411 | | | | 1.5395 | 0.0612 | 1.5175 | 0.0707 | 1.5486 | 0.0962 | 1.1552 | 1.5719 | | 200 | | 1.5531 | 0.0826 | 1.5265 | 0.0903 | 1.5595 | 0.1289 | 1.0932 | 1.5605 | | | | 1.5235 | 0.0308 | 1.5066 | 0.0351 | 1.5203 | 0.0461 | 1.1396 | 1.4968 |
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