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lib/trends_IIR/lema/Lema.md
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# LEMA: Leader Exponential Moving Average
# LEMA: Leader Exponential Moving Average
| Property | Value |
| ---------------- | -------------------------------- |
| **Category** | Trend (IIR MA) |
| **Inputs** | Source (close) |
| **Parameters** | `period` |
| **Outputs** | Single series (Lema) |
| **Output range** | Tracks input |
| **Warmup** | `period` bars |
### TL;DR
- LEMA (Leader EMA) adds a smoothed error correction to the standard EMA, creating a moving average that anticipates price movement.
- 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.
> "George Siligardos asked a simple question: what if you smoothed the EMA's own error and added it back? The answer is a moving average that leads price changes instead of lagging behind them. The error becomes the signal."