Research Article
Bayesian Analysis of the Survival Function and Failure Rate of Weibull Distribution with Censored Data
Table 1
MSEs and Abs. Biases (in parenthesis) for the survival function
.
| | | | | | | | | |
| 25 | | 0.01577 (0.09892) | 0.01613 (0.10131) | 0.01644 (0.10076) | 0.01635 (0.10273) | BS | 0.01581 (0.09909) | 0.01618 (0.10149) | 0.01648 (0.10092) | 0.01639 (0.10290) | BL | 0.01681 (0.10213) | 0.01731 (0.10556) | 0.01564 (0.09971) | 0.01707 (0.10299) | BL | 0.01613 (0.10035) | 0.01732 (0.10361) | 0.01625 (0.10014) | 0.01687 (0.10428) | BL | 0.01604 (0.09968) | 0.01742 (0.10428) | 0.01629 (0.10079) | 0.01711 (0.10437) | BL | 0.01623 (0.10091) | 0.01753 (0.10573) | 0.01578 (0.09839) | 0.01708 (0.10266) | BG | 0.01568 (0.09809) | 0.01770 (0.10566) | 0.01520 (0.09737) | 0.01667 (0.10269) | BG | 0.01565 (0.09855) | 0.01774 (0.10563) | 0.01565 (0.09976) | 0.01721 (0.10453) | BG | 0.01495 (0.09495) | 0.01613 (0.10047) | 0.01549 (0.09792) | 0.01722 (0.10326) | BG | 0.01589 (0.09983) | 0.01686 (0.10303) | 0.01549 (0.09711) | 0.01812 (0.10809) |
| 50 | | 0.01179 (0.08736) | 0.01370 (0.09561) | 0.01155 (0.08619) | 0.01274 (0.09169) | BS | 0.01180 (0.08741) | 0.01371 (0.09566) | 0.01156 (0.08624) | 0.01276 (0.09174) | BL | 0.01160 (0.08666) | 0.01354 (0.09606) | 0.01164 (0.08681) | 0.01299 (0.09248) | BL | 0.01137 (0.08563) | 0.01246 (0.09134) | 0.01144 (0.08683) | 0.01299 (0.09263) | BL | 0.01180 (0.08794) | 0.01275 (0.09056) | 0.01199 (0.08865) | 0.01282 (0.09201) | BL | 0.01192 (0.08840) | 0.01353 (0.09489) | 0.01197 (0.08823) | 0.01239 (0.09009) | BG | 0.01179 (0.08768) | 0.01312 (0.09299) | 0.01139 (0.08609) | 0.01263 (0.09120) | BG | 0.01799 (0.08722) | 0.01259 (0.09168) | 0.01109 (0.08408) | 0.01274 (0.09257) | BG | 0.01143 (0.08651) | 0.01320 (0.09432) | 0.01136 (0.08635) | 0.01273 (0.09260) | BG | 0.01159 (0.08686) | 0.01229 (0.09049) | 0.01133 (0.08472) | 0.01306 (0.09325) |
| 100 | | 0.00969 (0.08234) | 0.01108 (0.08929) | 0.00915 (0.07937) | 0.01119 (0.08962) | BS | 0.00969 (0.08235) | 0.01108 (0.08931) | 0.00715 (0.07938) | 0.01119 (0.08963) | BL | 0.00953 (0.08105) | 0.01109 (0.08969) | 0.00932 (0.08059) | 0.01136 (0.09084) | BL | 0.00938 (0.08148) | 0.01062 (0.08779) | 0.00952 (0.08159) | 0.01056 (0.08705) | BL | 0.00945 (0.08189) | 0.01087 (0.08877) | 0.00746 (0.08212) | 0.01067 (0.08779) | BL | 0.00970 (0.08226) | 0.01111 (0.08950) | 0.00943 (0.08102) | 0.01078 (0.08804) | BG | 0.00951 (0.08202) | 0.01132 (0.09110) | 0.00916 (0.07991) | 0.01124 (0.09032) | BG | 0.00958 (0.08190) | 0.01085 (0.08838) | 0.00933 (0.08117) | 0.01071 (0.08810) | BG | 0.00905 (0.07915) | 0.01118 (0.08959) | 0.00845 (0.08126) | 0.01068 (0.08739) | BG | 0.00893 (0.07912) | 0.01071 (0.08751) | 0.00946 (0.08176) | 0.01124 (0.09051) |
|
|
: maximum likelihood, BG: general entropy loss function, BL: LINEX loss function, BS: squared error loss function.
|