Description
Add nonnegative actualHalfwidth and predictedHalfwidth to h.
An interval forecast has both a width and a relationship to an observed value. Scoring rules can penalize narrow misses while boundary conventions determine coverage separately.
Add nonnegative actualHalfwidth and predictedHalfwidth to h.
When to use this tool
Use Absolute Error Rounding Uncertainty Envelope when you need one interval width, coverage, penalty, or error-envelope term.
How to use the tool and how it works
- Enter actual, predicted, actualHalfwidth, predictedHalfwidth. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read minimum, maximum. Use the output convention below.
Add nonnegative actualHalfwidth and predictedHalfwidth to h. For center difference d = abs(predicted - actual), return max(0, d - h) and d + h.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| actual | Observed value on the same scale and unit as its prediction. | Required. Finite number. |
| predicted | Predicted value on the same scale and unit as actual. | Required. Finite number. |
| actualHalfwidth | Actual Halfwidth | Required. Finite number. |
| predictedHalfwidth | Predicted Halfwidth | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| minimum | Minimum | Required. Finite number. |
| maximum | Maximum | Required. Finite number. |
{
"input": {
"actual": 3,
"predicted": 7,
"actualHalfwidth": 1,
"predictedHalfwidth": 1
},
"output": {
"minimum": 2,
"maximum": 6
}
}Limitations and assumptions
- This is an interval envelope under independently variable bounds, not a probabilistic confidence interval or correlation model.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Aggregate scores over comparable observations and examine empirical coverage and interval width together.
References
Similar or alternative tools
- Forecast Error Quantum Tie Policy
Divide abs(error) by positive quantum and round to the nearest integer.
- Interval Coverage Boundary Convention
Check actual against ordered bounds using strict comparisons except where lowerClosed or upperClosed includes an equal endpoint.