De Moivre Uniform Death Survival Calculator
DeMoivrelinearuniform-lifetimeconditional survival(ω−x−t)/(ω−x),0≤x<ω,0≤t≤ω−x. Actual independently applicable qualified life-table/model/rate assumptions,not a diagnosis,individual death prediction,published mortalitytable,contractquote or guaranteed financialresult.
Description
De Moivre’s lifetime model assumes remaining deaths are uniformly distributed up to a fixed terminal age.
De Moivre’s lifetime model assumes remaining deaths are uniformly distributed up to a fixed terminal age.1
This calculator gives conditional survival over a chosen duration under that ideal model, without fitting an actual mortality table.
When to use De Moivre Uniform Death Survival Calculator
Use this tool to apply the stated de moivre uniform death survival calculator operation with an explicit input and unit basis.
How to use De Moivre Uniform Death Survival Calculator and how it works
- Establish the measurement basis and units described above.
- Enter callerIndependentTerminalAge, actualAttainedAge, actualFutureYears and run the tool.
- Read result.value using the output meanings below.
- If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| callerIndependentTerminalAge | Terminal Age. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| actualAttainedAge | Attained Age. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; nonnegative; further conditions in the algorithm |
| actualFutureYears | Future Years. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; nonnegative; further conditions in the algorithm |
Require terminal age ω>0, attained age 0≤x<ω and duration 0≤t≤ω−x. Divide remaining lifetime after t by current remaining lifetime; zero duration gives one and terminal duration gives zero.
tpx = (ω−x−t)/(ω−x) Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.value | Probability in [0,1] under the declared model. | number |
{
"input": {
"callerIndependentTerminalAge": 100,
"actualAttainedAge": 40,
"actualFutureYears": 30
},
"output": {
"result": {
"value": 0.5
}
}
}Limitations and assumptions
The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.
Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A returned boolean, signed difference or tied result follows the stated convention; an input error instead means the required input contract was not satisfied. Very large inputs or outputs may be rejected by shared resource limits.
Alternative or Complementary methods
For a related operation, use Multi-Year Survival Probability tPx Calculator. Multi-year survival combines conditional annual survival probabilities along an attained-age path.
For a related operation, use Temporary Complete Expectation Calculator. Temporary complete life expectancy totals expected time lived over a finite horizon.
References
Similar or alternative tools
- Multi-Year Survival Probability tPx Calculator
Multi-year survival combines conditional annual survival probabilities along an attained-age path.
- Temporary Complete Expectation Calculator
Temporary complete life expectancy totals expected time lived over a finite horizon.