Research Article
Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications
Table 1
Estimates and MSEs of APTIL distribution for ML, LS, WLS, CV, PC, MPS, AD, and RTAD estimates for set 1.
| n | Set 1: | MLEs | LSEs | WLSEs | CVEs | PCEs | MPSEs | ADEs | RTADEs | Est. | MSEs | Est. | MSEs | Est. | MSEs | Est. | MSEs | Est. | MSEs | Est. | MSEs | Est. | MSEs | Est. | MSEs |
| 50 | 0.451 | 0.16 | 0.491 | 0.181 | 0.542 | 0.276 | 0.468 | 0.246 | 0.587 | 0.496 | 0.709 | 0.489 | 0.432 | 0.089 | 0.429 | 0.184 | 0.697 | 0.202 | 0.910 | 0.261 | 0.827 | 0.197 | 0.848 | 0.199 | 0.836 | 0.300 | 0.882 | 0.600 | 0.806 | 0.173 | 1.024 | 0.399 | 2.151 | 0.499 | 1.561 | 0.346 | 1.695 | 0.345 | 1.693 | 0.243 | 1.789 | 0.536 | 1.998 | 1.069 | 1.725 | 0.223 | 1.530 | 0.368 |
| 100 | 0.401 | 0.084 | 0.394 | 0.123 | 0.447 | 0.197 | 0.401 | 0.120 | 0.386 | 0.065 | 0.577 | 0.232 | 0.395 | 0.066 | 0.411 | 0.139 | 0.642 | 0.076 | 0.825 | 0.147 | 0.772 | 0.138 | 0.813 | 0.154 | 0.845 | 0.309 | 0.767 | 0.372 | 0.711 | 0.083 | 0.905 | 0.235 | 1.983 | 0.135 | 1.684 | 0.235 | 1.803 | 0.274 | 1.737 | 0.278 | 1.798 | 0.298 | 1.93 | 0.318 | 1.828 | 0.135 | 1.628 | 0.317 |
| 200 | 0.394 | 0.068 | 0.374 | 0.104 | 0.409 | 0.136 | 0.352 | 0.099 | 0.342 | 0.050 | 0.496 | 0.121 | 0.383 | 0.044 | 0.362 | 0.106 | 0.68 | 0.069 | 0.798 | 0.122 | 0.735 | 0.094 | 0.797 | 0.117 | 0.773 | 0.192 | 0.687 | 0.168 | 0.671 | 0.055 | 0.857 | 0.157 | 1.861 | 0.082 | 1.683 | 0.154 | 1.785 | 0.137 | 1.706 | 0.146 | 1.797 | 0.142 | 1.902 | 0.155 | 1.833 | 0.076 | 1.607 | 0.191 |
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