Weibull Hazard Survival Calculator
QualifiedWeibullμ=(k/λ)(x/λ)^(k−1),S=e^−(x/λ)^k,positive-agebranch/no zero-age singularity or silentunderflow. Actual independently applicable qualified life-table/model/rate assumptions,not a diagnosis,individual death prediction,published mortalitytable,contractquote or guaranteed financialresult.
Description
A Weibull lifetime model describes survival and an age-dependent hazard through scale and shape parameters.
A Weibull lifetime model describes survival and an age-dependent hazard through scale and shape parameters.1
This calculator evaluates that declared continuous model at a positive age; it does not fit a mortality curve to observations.
When to use Weibull Hazard Survival Calculator
Use this tool to apply the stated weibull hazard survival calculator operation with an explicit input and unit basis.
How to use Weibull Hazard Survival Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualAge, callerWeibullScale, callerWeibullShape and run the tool.
- Read result.hazard, result.survival 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 |
|---|---|---|---|
| actualAge | Age. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| callerWeibullScale | Weibull Scale. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| callerWeibullShape | Weibull Shape. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
Require strictly positive age x, scale λ and shape k on a common time basis. Calculate the Weibull hazard and exponential survival. The exponential helper rejects overflow and survival underflow to exactly zero; age zero is outside this implementation’s branch.
hazard = (k/λ)(x/λ)^(k−1); survival = exp(−(x/λ)^k) Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.hazard | Weibull instantaneous hazard in inverse units of the supplied age/scale basis. | number |
| result.survival | Weibull survival probability; underflow to exactly zero is rejected. | number |
{
"input": {
"actualAge": 2,
"callerWeibullScale": 2,
"callerWeibullShape": 2
},
"output": {
"result": {
"hazard": 1,
"survival": 0.36787944117144233
}
}
}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 Makeham Law Force of Mortality Calculator. Makeham’s mortality law adds an age-independent term to an exponentially increasing force of mortality.
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
-
Weibull Hazard Survival Calculator — tool.io
Similar or alternative tools
- Makeham Law Force of Mortality Calculator
Makeham’s mortality law adds an age-independent term to an exponentially increasing force of mortality.
- Force of Mortality From lx Calculator
An average force of mortality over an interval describes the logarithmic decline in survivors per unit time.