What is the Winkler (interval) score?

The Winkler score (or interval score) grades a forecast range — like a 90% confidence band — against the price that actually happened. It rewards bands that are both narrow and honest, and lower is better.

How it is calculated

For a band with lower edge L, upper edge U and a coverage level (say 90%, so alpha = 0.10), the score is the width (U − L) plus a miss penalty of (2/alpha) times how far outside the band the price landed. Inside the band, only the width counts. Example (illustrative): a band of $95–$105 (width 10) at a 90% level. If the stock closes at $100, the score is just 10 — covered and tight. If it closes at $110 (5 above the top), the penalty is (2 / 0.10) × 5 = 100, for a total of 110. One badly missed forecast dominates many good ones — it punishes overconfident bands hard.

Why it beats a plain hit-rate

A simple "did the price land in the band?" check can be gamed by making every band absurdly wide — a forecast of "somewhere between $0 and $1,000" is never wrong and never useful. The Winkler score charges for width, so a model cannot buy coverage with vagueness. It is the honest single-number answer to "were these bands both calibrated and sharp?"

How this connects to Quantustik

The Winkler score is a standard public statistic, not a proprietary edge. We show it in the ticker "Model Quality" bar so you can judge our forecast bands the way a statistician would. How they actually score is reported against a committed backtest on our calibration page, alongside CI90 coverage and the Brier score. None of this is investment advice.

Frequently asked questions

What is a good Winkler score?

Lower is better — it is a distance-like penalty, not a percentage, so it only has meaning relative to a benchmark or the same model over time.

How is the Winkler score different from CI90 coverage?

Coverage only asks whether the price landed inside the band. The Winkler score also charges for how wide the band was, so a model can't score well just by making every band enormous.

Is the Winkler score a Quantustik invention?

No — it's a public statistic from the forecasting literature (Winkler, 1972). We use it because it is a standard, checkable way to grade prediction intervals.

See it on a ticker

Browse all S&P 500 tickers to see this metric applied to individual companies.

Related terms

Educational research only — not investment advice.