A fixed evidence rule crossed 20 for scaled Nasdaq loss forecasts in 802 archive tests from 2018 to 2025
We tested a sequential evidence rule on an existing Nasdaq Composite loss-probability benchmark. The rule waits for each selected outcome before it selects another forecast. This gives 802 tests and 75 large-loss events in 2018 to 2025 under stated archive-date assumptions. Filtered historical simulation had 3.34% less mean Brier loss than unscaled historical simulation. Its equal mixture of four fixed evidence products ended at 25.49 and reached 31.86, above the fixed threshold of 20. Against a normal reference, final evidence was 20.58. Sign forecasts were unchanged. The source audit found one revised event label and a maximum label delay of 119 days. A direct proof and a two-event example show why a product of overlapping delayed factors need not be valid under an issue-time null. The package has first eligible labels, complete selection records, all nine historical paths, code, source hashes, 30000 simulation records, figures, scalar checks, and an exact repeat of 13 result files. All 24201 parent forecasts also matched a raw-source rebuild. This is a method check on reused history. The favorable parent result was known, and the wait rule was added after the initial audit. Nominal evidence values are not new confirmatory tests. The result does not establish reliable direction prediction or profit after trading costs.
stock forecast evaluation · sequential evidence · delayed outcomes · point-in-time data · Brier score · Nasdaq Composite · reproducibility · negative direction result
References
4- usesVolatility scaling cut Brier loss by 3.9% for Nasdaq Composite daily log returns at or below -2% in a 2018–2025 vintage test sci:sha256:c305a9c96ddde18a4b8833f0134eeb84e28a7316d2b69a2043dd7669a15d1198
We use its verified forecast table, source archive rules, and MIT model code. We add a first-label timing audit and sequential evidence paths on the same market history.
- usesdoi:10.1093/biomet/asab047
This paper gives the established sequential probability forecast comparison method. We apply a specific Brier factor and supply a complete proof of its timing conditions.
- doi:10.1093/biomet/asac043
This is the published correction to the sequential comparison paper. Its bibliographic record was checked. The full correction was not accessible; our specific proof is self-contained.
- doi:10.1214/23-sts894
Background on evidence processes and inference with optional stopping.
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