Curtate Expectation of Life Calculator
Closedannualtable curtatelifeexpectationΣk≥1p_x(k),lastqx1andcompleteobservedtail. Actual independently applicable qualified life-table/model/rate assumptions,not a diagnosis,individual death prediction,published mortalitytable,contractquote or guaranteed financialresult.
Description
Curtate life expectancy counts expected complete future years rather than fractional years lived.
Curtate life expectancy counts expected complete future years rather than fractional years lived.1
This tool sums annual survival probabilities from a closed qx table whose last interval has death probability one.
When to use Curtate Expectation of Life Calculator
Use this tool to apply the stated curtate expectation of life calculator operation with an explicit input and unit basis.
How to use Curtate Expectation of Life Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualCompleteAnnualQx and run the tool.
- Read result.conditionalExpectedRemainingYears 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 |
|---|---|---|---|
| actualCompleteAnnualQx | Complete conditional annual death-probability sequence ending exactly at 1. | array of number | required; dense; align related rows as specified; further conditions in the algorithm |
Require a nonempty qx series with every value in [0,1] and final value exactly one. Build unit-radix lx recursively and sum future survivors from l[1] onward. A truncated open tail is rejected rather than assumed to have no later survival.
curtate expectation = sum of l[k] for k≥1, with l[0]=1 Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.conditionalExpectedRemainingYears | Expected remaining years under the stated curtate or UDD-complete convention. | number |
{
"input": {
"actualCompleteAnnualQx": [
0.5,
1
]
},
"output": {
"result": {
"conditionalExpectedRemainingYears": 0.5
}
}
}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 Complete Expectation of Life Calculator. Complete life expectancy includes fractional years lived.
For a related operation, use Temporary Complete Expectation Calculator. Temporary complete life expectancy totals expected time lived over a finite horizon.
References
-
Curtate Expectation of Life Calculator — tool.io
Similar or alternative tools
- Complete Expectation of Life Calculator
Complete life expectancy includes fractional years lived.
- Temporary Complete Expectation Calculator
Temporary complete life expectancy totals expected time lived over a finite horizon.