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lib/trends_IIR/mma/Mma.md
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# MMA: Modified Moving Average
| Property | Value |
| ---------------- | -------------------------------- |
| **Category** | Trend (IIR MA) |
| **Inputs** | Source (close) |
| **Parameters** | `period` |
| **Outputs** | Single series (Mma) |
| **Output range** | Tracks input |
| **Warmup** | `period` bars |
### TL;DR
- MMA (Modified Moving Average) uses a **simple mean** as a baseline, then adds a **weighted correction** based on the position of values within the ...
- Parameterized by `period`.
- Output range: Tracks input.
- Requires `period` bars of warmup before first valid output (IsHot = true).
- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
> "MMA is a compromise: less lag than SMA, less overshoot than fully weighted filters. It's what you get when an SMA and a WMA have a carefully engineered offspring."
MMA (Modified Moving Average) uses a **simple mean** as a baseline, then adds a **weighted correction** based on the position of values within the buffer. The weighting tilts toward newer bars without fully discarding older ones, creating a filter that sits between SMA (equal weights) and WMA (linear weights) in both lag and smoothness characteristics.
@@ -158,4 +175,4 @@ The weighted sum computation is vectorizable:
## References
- PineScript reference implementation: `lib/trends_IIR/mma/mma.pine`
- PineScript reference implementation: `lib/trends_IIR/mma/mma.pine`