Central Death Rate Mx Calculator

Actualcentraldeathratemx=d/personyearsexposure,not populationfractionqx. 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 uses person-years of exposure rather than the cohort present at interval start.

A central death rate uses person-years of exposure rather than the cohort present at interval start.1

This calculator divides interval deaths by actual interval person-years and returns a rate, not necessarily a probability below one.

When to use Central Death Rate Mx Calculator

Use this tool to apply the stated central death rate mx calculator operation with an explicit input and unit basis.

How to use Central Death Rate Mx Calculator and how it works

  1. Establish the measurement basis and units described above.
  2. Enter actualIntervalDeathCount, actualIntervalPersonYearsLived 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
actualIntervalDeathCountInterval Death Count. Units, ordering and applicable branch are specified in the algorithm.numberrequired; finite; nonnegative; further conditions in the algorithm
actualIntervalPersonYearsLivedInterval Person Years Lived. Units, ordering and applicable branch are specified in the algorithm.numberrequired; finite; strictly positive; further conditions in the algorithm

Require nonnegative deaths and positive person-years. Divide without capping the rate at one; matching interval, population and exposure accounting must be established independently.

mx = intervalDeaths/intervalPersonYears

Apply the declared units, ordering and branch conditions.

Output fieldMeaningValue type
resultObject containing the declared output fields.object
result.valueCentral death rate per year under the supplied interval-exposure convention.number
json
{
  "input": {
    "actualIntervalDeathCount": 2,
    "actualIntervalPersonYearsLived": 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 Death qx Calculator. A life-table death probability compares interval deaths with the cohort alive at interval start.

For a related operation, use Mx to Qx Converter. A central death rate can be converted to a cohort death probability only with an interval-exposure convention.

References

  1. Central Death Rate Mx Calculator — tool.io

Similar or alternative tools

  • Probability of Death qx Calculator

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

  • Mx to Qx Converter

    A central death rate can be converted to a cohort death probability only with an interval-exposure convention.

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