Makeham Law Force of Mortality Calculator
DeclaredMakehamμ(x)=A+B c^x,c>1,compatibleinverseyears,not GompertzwithoutA. Actual independently applicable qualified life-table/model/rate assumptions,not a diagnosis,individual death prediction,published mortalitytable,contractquote or guaranteed financialresult.
Description
Makeham’s mortality law adds an age-independent term to an exponentially increasing force of mortality.
Makeham’s mortality law adds an age-independent term to an exponentially increasing force of mortality.1
This calculator evaluates a caller-parameterized continuous model and does not estimate the parameters from a population.
When to use Makeham Law Force of Mortality Calculator
Use this tool to apply the stated makeham law force of mortality calculator operation with an explicit input and unit basis.
How to use Makeham Law Force of Mortality Calculator and how it works
- Establish the measurement basis and units described above.
- Enter callerMakehamA, callerGompertzB, callerGompertzC, actualAgeYears 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 |
|---|---|---|---|
| callerMakehamA | Makeham A. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; nonnegative; further conditions in the algorithm |
| callerGompertzB | Gompertz B. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| callerGompertzC | Gompertz C. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| actualAgeYears | Age Years. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; nonnegative; further conditions in the algorithm |
Require A≥0, B>0, c>1 and age≥0. Return A+B times c raised to age; parameters and age must share the model’s time basis and nonfinite arithmetic is rejected.
μ(x) = A + Bc^x 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": {
"callerMakehamA": 0.01,
"callerGompertzB": 0.01,
"callerGompertzC": 2,
"actualAgeYears": 2
},
"output": {
"result": {
"value": 0.05
}
}
}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 Force of Mortality From lx Calculator. An average force of mortality over an interval describes the logarithmic decline in survivors per unit time.
References
Similar or alternative tools
- Weibull Hazard Survival Calculator
A Weibull lifetime model describes survival and an age-dependent hazard through scale and shape parameters.
- Force of Mortality From lx Calculator
An average force of mortality over an interval describes the logarithmic decline in survivors per unit time.