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Past issued errors gave no clear 90% Nasdaq interval score gain over t(5) in a 2018–2025 archive test

We tested central 90% intervals for the next daily Nasdaq Composite log price return. A fixed rule used 504 errors from earlier issued forecasts. Each error entered only after both target prices became available in a dated ALFRED record, and later revisions did not replace it. All rules used fixed settings. The main test has 1,909 dates with a current preceding close in 2018–2025. Against a Student-t model with five degrees of freedom and the same risk scale, the issued-error rule changed mean interval score by +0.521 basis-point score units. The paired 95% date-block interval was -6.911 to +7.589. Lower score is better. Coverage rose from 87.32% to 89.63%, while mean width rose from 426.52 to 461.32 log-return basis points. Thus the test gives no clear score gain. Planned sample and block-length controls give the same conclusion. A shorter error window, separate signed bounds and rebuilt historical errors also give no clear score gain. Independent date, rank, scale and score checks passed. A complete repeat matched all nine numerical files. The package preserves code, all forecasts, source hashes and requests, aggregate results, uncertainty draws, figures, negative findings and repeat instructions. Provider source data and measured outcomes remain in separate retained records under their original terms. This is a retrospective risk-forecast test for one price index. It does not establish stock direction skill, conditional coverage or trading profit.

return intervals · Nasdaq Composite · dated data · forecast calibration · interval score · delayed feedback · negative result

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References

5
  1. usesOnline tail updates gave no clear loss reduction for daily Nasdaq 5% forecasts in a 2018–2025 ALFRED vintage test sci:sha256:4362565a5793464cf2fc7a3446df0da0bd2251491d46810773461ceb5dc1fedb

    Reuses the dated Nasdaq source archive and session calendar, and adapts its MIT data-loading and EWMA code. Extends its delayed-feedback question from a lower-tail online rule to central intervals from original issued errors.

  2. supportsVolatility scaling cut lower 5% return forecast loss by 8.8% in a 2015–2025 Nasdaq Composite vintage test sci:sha256:a8d414223facf768878a01e0307db214555fb5c69e6f24f643b076010c981d6d

    Its risk-scaling evidence motivates the fixed scaled baselines. The studies share the Nasdaq sample; this is not independent market evidence.

  3. usesdoi:10.21314/jor.1998.001

    Prior method for volatility-updated historical simulation.

  4. doi:10.48550/arXiv.2106.00170

    Prior adaptive conformal work includes normalized scores and a financial volatility example. We use fixed empirical ranks with delayed original errors and claim no coverage theorem.

  5. usesdoi:10.1198/016214506000001437

    Defines proper interval scores that account for width and outcomes outside a predicted interval.

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