Definitions
In plain terms
The upper, lower, and middle levels all scale by the same factor, which cancels in the normalized ratio.
Technical
The property holds when the underlying Bollinger contract and multiplier are unchanged and the denominator remains positive.
Scope
Scale invariance does not imply invariance to additive price shifts or comparability across every market context.
Examples
- A reviewer traces BandWidth Scale Invariance from aligned inputs through its first-ready row and edge cases before accepting a displayed value.
Common misconceptions
- Scale invariance does not imply invariance to additive price shifts or comparability across every market context.
Concept relationships
Where this concept is used
Evidence and governance
- Bollinger Bands Rules John Bollinger · first party methodology
Supports: preferred label, short definition, technical definition
Limits: Interpretive rules do not prove forecasting power, trade profitability, or one universal parameter selection.
- Bollinger BandWidth TradingView · official platform documentation
Supports: preferred label, short definition, technical definition
Limits: No universal squeeze threshold, breakout direction, causal forecast, or profitability claim is adopted.
- Reviewed by
- fintech-builder-batch-009
- Last reviewed
- 2026-07-30
- Next review
- 2027-07-30
- Record status
- published