Life Table Lx Scaling Calculator
Lowercasel_xradixrescalingNOTuppercasepersonyearsL_x,actualtablevaluesnonincreasing. Actual independently applicable qualified life-table/model/rate assumptions,not a diagnosis,individual death prediction,published mortalitytable,contractquote or guaranteed financialresult.
Description
A life-table radix sets the initial survivor count while preserving relative survival along the table.
A life-table radix sets the initial survivor count while preserving relative survival along the table.1
This scaler changes lowercase lx survivor counts to a new radix; it does not rescale Lx person-years or reconstruct missing mortality intervals.
When to use Life Table Lx Scaling Calculator
Use this tool to apply the stated life table lx scaling calculator operation with an explicit input and unit basis.
How to use Life Table Lx Scaling Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualIndependentlyEstablishedSurvivors, actualNewRadix and run the tool.
- Read result.scaledLifeTableLx 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 |
|---|---|---|---|
| actualIndependentlyEstablishedSurvivors | Established Survivors. Units, ordering and applicable branch are specified in the algorithm. | array of number | required; dense; align related rows as specified; further conditions in the algorithm |
| actualNewRadix | New Radix. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
Require a nonempty nonnegative, nonincreasing survivor list with a positive first entry and positive new radix. Multiply every count by new radix divided by the original first count; fractional expected survivors are preserved.
scaled l[k] = original l[k] × newRadix/original l[0] Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.scaledLifeTableLx | Survivor counts at the new radix, in original age order. | array |
{
"input": {
"actualIndependentlyEstablishedSurvivors": [
10,
8,
0
],
"actualNewRadix": 100
},
"output": {
"result": {
"scaledLifeTableLx": [
100,
80,
0
]
}
}
}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 Life Table Dx Deaths Calculator. Life-table interval deaths are the expected portion of the starting survivor cohort dying during that interval.
For a related operation, use Commutation Function Dx Calculator. The survivor commutation value Dx combines an attained-age discount power with a life-table survivor count.
References
-
Life Table Lx Scaling Calculator — tool.io
Similar or alternative tools
- Life Table Dx Deaths Calculator
Life-table interval deaths are the expected portion of the starting survivor cohort dying during that interval.
- Commutation Function Dx Calculator
The survivor commutation value Dx combines an attained-age discount power with a life-table survivor count.