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Research & notes

Oisigma vs Bollinger Bands: The 97-Year Containment Test

In the working paper's comparison, standard Bollinger Bands (20, 2) contained 82.64% of next closes, while the Behavioral Transform Model's outer band contained 94.00%, historically. This post is by Oisigma, a vendor, and describes that single test with its settings and limits.

What was compared?

One range from each indicator, scored by counting how often the next close landed inside it.

Bollinger Bands (20, 2) BTM outer band
Space Price Return
Nominal claim ~95% (±2σ) Outer band, ~94%
Measured containment 82.64% 94.00%

At ±1σ with comparable settings, BTM's inner band held ~69% against ~42%, a different setting and not the headline figure; the tests are detailed in what we found testing the popular bands. Past behavior is not a guarantee of future results.

Why might the numbers differ?

Price-space bands scale with the price level, while a return-space band scales with how far returns have moved; see return space vs price space and the Bollinger band drift problem.

What does the test not show?

It does not show that Bollinger Bands are wrong or that BTM is profitable: the paper validates calibration, not the profitability of any use. BTM's containment also fell to about 65% at crisis onset, and the 97-year history is S&P 500 only.

Frequently asked questions

Can Bollinger settings be changed to match?

Different settings change the measured rate. The figures above are for (20, 2) only.

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Is this an independent test?

No. It is Oisigma's own, and the procedure is reproducible; see how to backtest a band indicator.

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Where is the alternative described?

The Bollinger Bands alternative page.

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See the Proof page, or try the Behavioral Transform Model: start with the 30-day free trial.

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Now, your charts

Curious how this looks on your charts?

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