Probability of Survival px Calculator

Actualintervalpx=1−qx,not fittedsurvival or human individualrisk. Actual independently applicable qualified life-table/model/rate assumptions,not a diagnosis,individual death prediction,published mortalitytable,contractquote or guaranteed financialresult.

Description

Annual survival probability is the complement of the corresponding conditional death probability.

Annual survival probability is the complement of the corresponding conditional death probability.1

This tool calculates px from a supplied qx on the same interval and population basis.

When to use Probability of Survival px Calculator

Use this tool to apply the stated probability of survival px calculator operation with an explicit input and unit basis.

How to use Probability of Survival px Calculator and how it works

  1. Establish the measurement basis and units described above.
  2. Enter actualIntervalQx and run the tool.
  3. Read result.value using the output meanings below.
  4. If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
Input fieldMeaningValue typeRequirement
actualIntervalQxInterval Qx. Units, ordering and applicable branch are specified in the algorithm.numberrequired; finite; 0–1 inclusive; further conditions in the algorithm

Require qx in [0,1] and subtract it from one. It does not choose a mortality table or convert between different interval lengths.

px = 1−qx

Apply the declared units, ordering and branch conditions.

Output fieldMeaningValue type
resultObject containing the declared output fields.object
result.valueProbability in [0,1] under the declared model.number
json
{
  "input": {
    "actualIntervalQx": 0.2
  },
  "output": {
    "result": {
      "value": 0.8
    }
  }
}

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 Death qx Calculator. A life-table death probability compares interval deaths with the cohort alive at interval start.

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

  1. Probability of Survival px Calculator — tool.io

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