Research Article
Asymmetric Randomly Censored Mortality Distribution: Bayesian Framework and Parametric Bootstrap with Application to COVID-19 Data
Table 1
Means estimates of
(first row) with their MSEs (second row).
| n | MLE | Bootstrap | Bayesian | | | | | q = −1 | q = 1 |
| 15 | 0.12453 | 0.11242 | 0.11012 | 0.11234 | 0.11125 | 0.10945 | 0.00758 | 0.00716 | 0.00699 | 0.00682 | 0.00685 | 0.00578 |
| 20 | 0.10214 | 0.10245 | 0.11241 | 0.13265 | 0.11354 | 0.10124 | 0.00712 | 0.00709 | 0.00652 | 0.00643 | 0.00647 | 0.00553 |
| 30 | 0.12365 | 0.11354 | 0.12874 | 0.10897 | 0.10962 | 0.09998 | 0.00701 | 0.00699 | 0.00634 | 0.00621 | 0.00625 | 0.00504 |
| 40 | 0.11470 | 0.11245 | 0.11119 | 0.10966 | 0.10097 | 0.10007 | 0.00685 | 0.00637 | 0.00602 | 0.00587 | 0.00590 | 0.00488 |
| 50 | 0.10999 | 0.11241 | 0.10894 | 0.10008 | 0.09997 | 0.09889 | 0.00557 | 0.00524 | 0.00501 | 0.00488 | 0.00489 | 0.00442 |
| 60 | 0.11002 | 0.10981 | 0.09978 | 0.10234 | 0.11021 | 0.11001 | 0.00496 | 0.00481 | 0.00465 | 0.00447 | 0.00451 | 0.00410 |
| 70 | 0.11214 | 0.10258 | 0.10369 | 0.10254 | 0.11236 | 0.11190 | 0.00388 | 0.00375 | 0.00366 | 0.00357 | 0.00359 | 0.00311 |
| 80 | 0.12350 | 0.11452 | 0.11782 | 0.10489 | 0.10899 | 0.10225 | 0.00333 | 0.00327 | 0.00315 | 0.00299 | 0.00302 | 0.00279 |
| 90 | 0.09989 | 0.10235 | 0.09987 | 0.10023 | 0.10079 | 0.09984 | 0.00295 | 0.00288 | 0.00275 | 0.00266 | 0.00269 | 0.00218 |
| 100 | 0.10089 | 0.11100 | 0.11240 | 0.10369 | 0.10250 | 0.10056 | 0.00198 | 0.00175 | 0.00153 | 0.00136 | 0.00138 | 0.00099 |
|
|