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tac-exp-dev/queue/designs/q19_martingale_vr.md

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# QUEUE-19 — Martingale / variance-ratio study close-out (no qrun)
**Status:** QUEUED · **Priority:** P2 · **Effort:** ad-hoc script under `book/data/`
## Hypothesis (settle)
Assets are submartingales long-horizon / mean-reverting short-horizon
(`VR < 1` at 5–20d). CLAIMS.md marks this HYPOTHESIS (chat-derived martingale
study; exp 19 was opened but never closed). It is a market-structure claim, not a
trading claim — settle it with a clean-lake script, then close exp 19 or open a
scripted EVIDENCE entry.
## Method (persist everything under `book/data/evidence/q19-vr/`)
1. Load the 50-ETF panel 1d bars from the lake for 2015-01-01..2026-08-19.
2. Compute the Lo–MacKinlay variance ratio at horizons 5 / 10 / 20d per symbol,
with heteroskedasticity-robust z-stats.
3. Report: per-horizon VR distribution, fraction of symbols with VR < 1 and the
z-significance, pooled drift vs daily variance (submartingale check).
4. Cross-check the pooled `sp_trend_slope_5` regression beta claim (β ≈ −0.53,
t ≈ −24) on the clean lake.
5. Write `VR_stats.csv` + a one-page summary into the evidence dir.
## Acceptance
- VR < 1 at 5–20d for a material fraction of the panel with |z| > 2 → supports
the mean-reversion HYPOTHESIS; else mark REFUTED or REFERENCED.
- The result updates CLAIMS.md's "Assets are submartingales…" row and closes the
exp-19 open thread.