OPEN-SOURCE SCRIPT

Bootstrap Confidence Break [forexobroker]

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Bootstrap Confidence Break flags bars whose return falls outside a 90 percent confidence interval on the rolling mean return. The CI uses the standard-error formulation that is asymptotically equivalent to the percentile bootstrap when N >= 30, but is fully deterministic — no random number generation, no repainting. Signals fire on EMA cross when the move is statistically significant.

🔶 ALGORITHM

1. r = close - close[1] (single-bar return).
2. mu = sma(r, N); sd = stdev(r, N); se = sd / sqrt(N).
3. CI high = mu + 1.645 * se; CI low = mu - 1.645 * se (90 percent two-sided).
4. Outside-up regime when r > CI_high; outside-down when r < CI_low.

🔶 SIGNAL LOGIC

- Buy: outside-up AND close crosses EMA up AND not already long AND cooldown elapsed AND barstate.isconfirmed.
- Sell: outside-down AND close crosses EMA down.
- Position-lock state machine.

🔶 INPUTS

- Return Window (default 40)
- Pullback EMA Length (default 8)
- Cooldown Bars (default 4)
- Visual: dashboard, glow, EMA toggle, buy / sell colors

🔶 ALERTS

BCB Buy, BCB Sell, BCB Any Signal, BCB Outside Up, BCB Outside Down, BCB EMA Up, BCB EMA Down, BCB 2-Sigma, BCB Webhook JSON.

🔶 LIMITATIONS

- Standard-error CI assumes approximately normal returns; heavy-tailed distributions widen the true tail risk and make this more conservative than a true percentile bootstrap.
- 90 percent interval is a reasonable default; adjust the multiplier (1.645) for stricter or looser cutoffs by editing the script.
- Signal cadence depends entirely on volatility regime; quiet markets produce few outside-CI bars.
- Combining CI break with EMA cross dampens whipsaws but slightly delays entry vs raw CI break.

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