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(Created page with "You are given the following data based on 60 lives at time 0 : {| class="table" ! <math>j</math> !! <math>t_{(j)}</math> !! Deaths at <math>t_{(j)}</math> !! Exits in <math>(t_{(j)}^{+},t_{(j+1)}^{-})</math> !! Entrants in <math>(t_{(j)}^{+},t_{(j+1)}^{-})</math> |- | 0 || || || 0 || 0 |- | 1 || 5.3 || 1 || 8 || 1 |- | 2 || 8.6 || 1 || 6 || 7 |- | 3 || 13.2 || 2 || 7 || 7 |- | 4 || 16.1 || 1 || 6 || 5 |- | 5 || 21.0 || 1 || 6 || 4 |} Calculate the upper limit of the...") |
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<ul class="mw-excansopts"><li> 0.872</li><li> 0.893</li><li> 0.915</li><li> 0.944</li><li> 0.968</li></ul> | <ul class="mw-excansopts"><li> 0.872</li><li> 0.893</li><li> 0.915</li><li> 0.944</li><li> 0.968</li></ul> | ||
{{soacopyright|2024}} | |||
Latest revision as of 02:40, 18 January 2024
You are given the following data based on 60 lives at time 0 :
| [math]j[/math] | [math]t_{(j)}[/math] | Deaths at [math]t_{(j)}[/math] | Exits in [math](t_{(j)}^{+},t_{(j+1)}^{-})[/math] | Entrants in [math](t_{(j)}^{+},t_{(j+1)}^{-})[/math] |
|---|---|---|---|---|
| 0 | 0 | 0 | ||
| 1 | 5.3 | 1 | 8 | 1 |
| 2 | 8.6 | 1 | 6 | 7 |
| 3 | 13.2 | 2 | 7 | 7 |
| 4 | 16.1 | 1 | 6 | 5 |
| 5 | 21.0 | 1 | 6 | 4 |
Calculate the upper limit of the 80% linear confidence interval for [math]S(21.0)[/math] using the Kaplan Meier estimate and Greenwood's approximation.
- 0.872
- 0.893
- 0.915
- 0.944
- 0.968
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.