Force of Mortality From lx Calculator
IntervalAVERAGEforce−ln(lend/lstart)/Δ,not pointderivativewithoutagegrid. Actual independently applicable qualified life-table/model/rate assumptions,not a diagnosis,individual death prediction,published mortalitytable,contractquote or guaranteed financialresult.
Description
An average force of mortality over an interval describes the logarithmic decline in survivors per unit time.
An average force of mortality over an interval describes the logarithmic decline in survivors per unit time.1
This calculator derives that interval average from two positive cohort counts, rather than taking an instantaneous derivative of a fitted curve.
When to use Force of Mortality From lx Calculator
Use this tool to apply the stated force of mortality from lx calculator operation with an explicit input and unit basis.
How to use Force of Mortality From lx Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualLifeTableLx, actualLifeTableLxPlusInterval, actualIntervalYears 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 |
|---|---|---|---|
| actualLifeTableLx | Life Table Lx. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| actualLifeTableLxPlusInterval | Life Table Lx Plus Interval. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| actualIntervalYears | Interval Years. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
Require positive starting and ending survivors with ending≤starting, and positive interval years. Divide ln(start/end) by years; equal counts give zero.
mean force = ln(startSurvivors/endSurvivors)/intervalYears Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.value | Force of mortality per year under the supplied model or interval basis. | number |
{
"input": {
"actualLifeTableLx": 10,
"actualLifeTableLxPlusInterval": 5,
"actualIntervalYears": 1
},
"output": {
"result": {
"value": 0.6931471805599453
}
}
}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 Weibull Hazard Survival Calculator. A Weibull lifetime model describes survival and an age-dependent hazard through scale and shape parameters.
For a related operation, use Makeham Law Force of Mortality Calculator. Makeham’s mortality law adds an age-independent term to an exponentially increasing force of mortality.
References
-
Force of Mortality From lx Calculator — tool.io
Similar or alternative tools
- Weibull Hazard Survival Calculator
A Weibull lifetime model describes survival and an age-dependent hazard through scale and shape parameters.
- Makeham Law Force of Mortality Calculator
Makeham’s mortality law adds an age-independent term to an exponentially increasing force of mortality.