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lib/trends_FIR/parzen/Parzen.md
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# PARZEN: Parzen (de la Vallée-Poussin) Window Moving Average
# PARZEN: Parzen (de la Vallée-Poussin) Window Moving Average
| Property | Value |
| ---------------- | -------------------------------- |
| **Category** | Trend (FIR MA) |
| **Inputs** | Source (close) |
| **Parameters** | `period` (default 14) |
| **Outputs** | Single series (Parzen) |
| **Output range** | Tracks input |
| **Warmup** | `period` bars |
### TL;DR
- PARZEN applies the Parzen (de la Vallée-Poussin) window function as FIR filter weights, producing a moving average with exceptional sidelobe suppre...
- Parameterized by `period` (default 14).
- 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.
> "Emanuel Parzen convolved two triangular windows and got a piecewise cubic with zero sidelobe discontinuity. When your window function is its own proof of smoothness, the spectral leakage has nowhere to hide."