kingchenc
d2f99efd78
The original taxonomy was four classical families plus a statistics group, with the F1-F12 expansion slotted in as sub-categories. This regroups the whole 71-indicator catalogue into eight top-level families, each with at least five members: Moving Averages (12), Momentum Oscillators (13), Trend & Directional (9), Price Oscillators (5), Volatility & Bands (12), Trailing Stops (5), Volume (9), Price Statistics (7). - Wiki: docs/wiki/indicators/ reorganised into eight family folders; all 71 indicator pages moved with `git mv`. Every internal cross-link is normalised to `../<family>/Indicator-X.md`, each page's `Family` field is set to its new family, and two pre-existing `../Indicator-Chaining.md` links (should have been `../../`) are corrected. A link check confirms every relative wiki link resolves. - Indicators-Overview.md fully rewritten around the eight families; Home.md indicator reference and the README family table follow suit. - Warmup-Periods.md gains the eight F13 indicators; CHANGELOG records the 46-indicator expansion (25 -> 71) and the eight-family taxonomy. - Tests: Node indicators.test.js and Python test_new_indicators.py cover all eight new indicators (Node 91/91, Python 117/117 green). cargo fmt + clippy (core/wickra/data/wasm/node) clean; 508 core tests, 25 data tests and 74 doctests green.
156 lines
4.4 KiB
Markdown
156 lines
4.4 KiB
Markdown
# StdDev
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> Rolling population standard deviation — the dispersion of the last
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> `period` prices around their mean.
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## Quick reference
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| Field | Value |
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|-------|-------|
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| Family | Volatility & Bands |
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| Input type | `f64` (single close) |
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| Output type | `f64` |
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| Output range | `[0, ∞)` (price-difference scale) |
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| Default parameters | `period = 20` (Python) |
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| Warmup period | `period` |
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| Interpretation | Spread of recent prices; the raw volatility behind Bollinger Bands. |
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## Formula
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```
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mean = (1/n) · Σ price
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variance = (1/n) · Σ price² − mean²
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StdDev = √variance
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```
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This is the **population** standard deviation (divisor `n`, not `n − 1`)
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— the exact dispersion measure that drives the band width of
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[`BollingerBands`](../volatility-bands/Indicator-BollingerBands.md). It is maintained as an
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O(1) state machine: a running sum and a running sum-of-squares, each
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updated by one add and one subtract per bar. Floating-point cancellation
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can leave the computed variance very slightly negative; it is clamped to
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zero before the square root.
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## Parameters
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| Name | Type | Default | Valid range | Description |
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|----------|---------|---------------|-------------|-------------|
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| `period` | `usize` | `20` (Python) | `>= 1` | Rolling window length. `0` errors with `Error::PeriodZero`. `period = 1` always yields `0`. |
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The Python binding defaults `period` to `20`.
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## Inputs / Outputs
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From `crates/wickra-core/src/indicators/std_dev.rs`:
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```rust
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impl Indicator for StdDev {
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type Input = f64;
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type Output = f64;
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// update(&mut self, input: f64) -> Option<f64>
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}
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```
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A single `f64` close in, an `Option<f64>` out. Python maps this to
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`float | None` / `numpy.ndarray` (NaN warmup); Node to `number | null` /
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`Array<number>` (NaN warmup).
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## Warmup
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`StdDev::new(period).warmup_period() == period`. The first non-`None`
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value is emitted once the window holds `period` prices.
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## Edge cases
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- **Constant series.** A flat series has zero dispersion, so the output
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is `0.0` (`constant_series_yields_zero` pins this).
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- **NaN / infinity inputs.** Non-finite inputs are silently dropped; the
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window and the running sums are left untouched.
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- **Reset.** `sd.reset()` clears the window and both running sums.
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## Examples
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### Rust
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```rust
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use wickra::{BatchExt, Indicator, StdDev};
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fn main() -> Result<(), Box<dyn std::error::Error>> {
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let mut sd = StdDev::new(3)?;
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let out: Vec<Option<f64>> = sd.batch(&[2.0, 4.0, 6.0]);
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println!("{:?}", out);
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Ok(())
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}
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```
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Output:
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```
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[None, None, Some(1.6329931618554525)]
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```
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The window `[2, 4, 6]` has mean `4` and variance `(4 + 0 + 4) / 3 = 8/3`,
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so the standard deviation is `√(8/3) ≈ 1.633`. This matches the
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`reference_value` test in `crates/wickra-core/src/indicators/std_dev.rs`.
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### Python
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```python
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import numpy as np
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import wickra as ta
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sd = ta.StdDev(3)
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print(sd.batch(np.array([2.0, 4.0, 6.0])))
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```
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Output:
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```
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[ nan nan 1.6329932]
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```
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### Node
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```javascript
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const ta = require('wickra');
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const sd = new ta.StdDev(3);
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console.log(sd.batch([2, 4, 6]));
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```
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Output:
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```
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[ NaN, NaN, 1.6329931618554525 ]
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```
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## Interpretation
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`StdDev` is the most direct volatility measure in the library: large
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values mean prices are scattered widely around their mean, small values
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mean a tight, quiet market. Use it on its own as a volatility filter, or
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recognise it as the engine inside `BollingerBands` — multiplying `StdDev`
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by the band multiplier and adding it to an `Sma` reproduces the bands
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exactly.
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## Common pitfalls
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- **Expecting the sample standard deviation.** `StdDev` divides by `n`,
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not `n − 1`. For the unbiased return-based estimator use
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[`HistoricalVolatility`](../volatility-bands/Indicator-HistoricalVolatility.md).
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- **Comparing across instruments.** The output is in price units; a
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`StdDev` of `5` is not comparable between a $10 and a $1000 asset.
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## References
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The population standard deviation is standard statistics; this
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implementation matches the dispersion term of John Bollinger's Bollinger
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Bands and pandas' `rolling(period).std(ddof=0)`.
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## See also
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- [Indicator-BollingerBands.md](../volatility-bands/Indicator-BollingerBands.md) — bands built
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from this dispersion measure.
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- [Indicator-HistoricalVolatility.md](../volatility-bands/Indicator-HistoricalVolatility.md) —
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annualised volatility of log returns.
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- [Indicators-Overview.md](../../Indicators-Overview.md) — the full taxonomy.
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