Mx to Qx Converter
Actual n-yearqx=nmx/[1+(n−a)mx],aindependentlyknownwithininterval,noUDDforced. Actual independently applicable qualified life-table/model/rate assumptions,not a diagnosis,individual death prediction,published mortalitytable,contractquote or guaranteed financialresult.
Description
A central death rate can be converted to a cohort death probability only with an interval-exposure convention.
A central death rate can be converted to a cohort death probability only with an interval-exposure convention.1
This tool uses a caller-supplied interval length and mean time lived by those dying within it.
When to use Mx to Qx Converter
Use this tool to apply the stated mx to qx converter operation with an explicit input and unit basis.
How to use Mx to Qx Converter and how it works
- Establish the measurement basis and units described above.
- Enter actualIntervalYears, actualCentralDeathRate, callerIndependentMeanYearsLivedByDecedents 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 |
|---|---|---|---|
| actualIntervalYears | Interval Years. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| actualCentralDeathRate | Central Death Rate. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; nonnegative; further conditions in the algorithm |
| callerIndependentMeanYearsLivedByDecedents | Average years lived in the interval by those dying, from zero through interval length. | number | required; finite; nonnegative; further conditions in the algorithm |
Require mx≥0, interval n>0 and mean death-time a in [0,n]. Calculate nmx/[1+(n−a)mx] and reject a value above one rather than silently clipping it.
qx = nmx/[1+(n−a)mx] 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": {
"actualIntervalYears": 2,
"actualCentralDeathRate": 0.2,
"callerIndependentMeanYearsLivedByDecedents": 1
},
"output": {
"result": {
"value": 0.33333333333333337
}
}
}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 Qx to Mx Converter. A mortality probability qx and central death rate mx use different denominators.
For a related operation, use Central Death Rate Mx Calculator. A central death rate uses person-years of exposure rather than the cohort present at interval start.
References
-
Mx to Qx Converter — tool.io
Similar or alternative tools
- Qx to Mx Converter
A mortality probability qx and central death rate mx use different denominators.
- Central Death Rate Mx Calculator
A central death rate uses person-years of exposure rather than the cohort present at interval start.