| Title |
Survival with random effect / |
| Authors |
Šiaulys, Jonas ; Puišys, Rokas |
| DOI |
10.3390/math10071097 |
| Full Text |
|
| Is Part of |
Mathematics.. Basel : MPDI. 2022, vol. 10, no. 7, art. no. 1097, p. [1-17].. eISSN 2227-7390 |
| Keywords [eng] |
mortality ; survival model ; survival function ; random effect ; force of mortality |
| Abstract [eng] |
The article focuses on mortality models with a random effect applied in order to evaluate human mortality more precisely. Such models are called frailty or Cox models. The main assertion of the paper shows that each positive random effect transforms the initial hazard rate (or density function) to a new absolutely continuous survival function. In particular, well-knownWeibull and Gompertz hazard rates and corresponding survival functions are analyzed with different random effects. These specific models are presented with detailed calculations of hazard rates and corresponding survival functions. Six specific models with a random effect are applied to the same data set. The results indicate that the accuracy of the model depends on the data under consideration. |
| Published |
Basel : MPDI |
| Type |
Journal article |
| Language |
English |
| Publication date |
2022 |
| CC license |
|
