Probability of Death qx Calculator
Actuallife-tableqx=d_x/l_x,countsnotcentraldeathrate.
Description
A life-table death probability compares interval deaths with the cohort alive at interval start.
A life-table death probability compares interval deaths with the cohort alive at interval start.1
This calculator allows fractional expected counts and differs from a central death rate based on person-years.
When to use Probability of Death qx Calculator
Use this tool to apply the stated probability of death qx calculator operation with an explicit input and unit basis.
How to use Probability of Death qx Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualIntervalLifeTableDeaths, actualStartSurvivorRadix 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 |
|---|---|---|---|
| actualIntervalLifeTableDeaths | Interval Life Table Deaths. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; nonnegative; further conditions in the algorithm |
| actualStartSurvivorRadix | Start Survivor Radix. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
Require a positive starting cohort and nonnegative deaths no greater than that cohort. Divide deaths by starting survivors; observed data quality and censoring assumptions are external.
qx = intervalDeaths/startSurvivors 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": {
"actualIntervalLifeTableDeaths": 2,
"actualStartSurvivorRadix": 10
},
"output": {
"result": {
"value": 0.2
}
}
}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 Probability of Survival px Calculator. Annual survival probability is the complement of the corresponding conditional death probability.
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.
References
-
Probability of Death qx Calculator — tool.io
Similar or alternative tools
- Probability of Survival px Calculator
Annual survival probability is the complement of the corresponding conditional death probability.
- Life Table Dx Deaths Calculator
Life-table interval deaths are the expected portion of the starting survivor cohort dying during that interval.