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Ornstein-Uhlenbeck Reversion
Admin's Choice NewFreeOrnstein-Uhlenbeck mean, half-life and sigma bands
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- Language
- QuaScript
- Engine
- Native C++, incremental on live ticks
- Rendering
- Canvas
- Placement
- Price overlay
- Settings
- 2
- Plots
- 7
- Lines of code
- 37
- Source
- presets/analysis/stats/ou_reversion_bands.qs
About
Fits an Ornstein-Uhlenbeck process to price: the long-run mean, the half-life of reversion and the z-score of the distance from the mean. Bands at one, two and three sigma are gradient filled, the mean is shaded by how fast the market reverts, and reversion entries are marked when an extreme z-score turns back with a short half-life.
What it draws
Price overlay · counted from the engine's plot table and the script's draw calls
Series
- Line7OU mean+1 sigma-1 sigma+2 sigma-2 sigma+3 sigma-3 sigma
- Band fills (render.band calls)3
Signal marks
No bar marks.
Drawings and chart effects
- Candle colors
How it runs
From source to the live chart, for this script
- 1Compile
The QuaScript compiler checks the 37-line script (30 lines of code) and lowers it for the native C++ engine. Compile errors point at the exact line and column.
- 2Place
The header sets
overlay = true, so everything is drawn on the price chart, on the same scale as the candles. - 3Compute
The script runs once per bar, oldest to newest.
- 4Stay live
On the terminal the script keeps one live engine session: a tick rolls the forming bar back to its checkpoint and re-executes only that bar, and new bars are appended, so history is never rerun while the market moves. The live result is identical to a full run.
- 5Render
The results are handed to the chart: series on Canvas.
- 6Tune
2 settings in 1 group appear in the chart's settings dialog. Changing one reruns the engine with the new value.
Rendering
This script draws on Canvas
The browser's modern GPU API. The chart uploads every line, band and mark of the script as GPU buffers and draws them in one pass, so dense heatmaps and dozens of series stay smooth while you pan and zoom. Without WebGPU support the chart's GPU layer falls back to WebGL 2, then Canvas 2D.
GPU drawing through WebGL 2, available in every current browser. Used for chart-native profiles and for series that ask for it with backend = "webgl". Fast for large numbers of bars and wide fills.
The browser's 2D drawing API. Text-heavy and object-style output (dashboard tables, zones, tags, segments), candle colors and backgrounds are painted by the QuaScript layer, a Canvas 2D surface over the chart. Series use Canvas when the script's header does not ask for a GPU.
- • 7 plotted series
- • 3 band fill calls
- • candle colors (QuaScript layer)
Alerts
2 alert rules declared with alert.rule
Price turned up from two sigma below the OU mean
Price turned down from two sigma above the OU mean
Settings
2 settings, grouped as in the chart's settings dialog
| Setting | Type | Default | Range / options | Id |
|---|---|---|---|---|
| Fit length | Integer | 120 | 30 – 1000 | fit_length |
| Max half-life (bars) | Number | 40 | 2 – 500, step 1 | max_half_life_bars |
Script
packages/quascript/presets/analysis/stats/ou_reversion_bands.qs
Header
analysis "Ornstein-Uhlenbeck Reversion" {
overlay = true
}- Total lines
- 37
- Code lines
- 30
- Comment lines
- 5
- Helper functions
- 0
- Loops
- 0
- Persistent variables
- 0
- Higher-interval feeds
- 0
- Engine plots
- 7
Built with
ta.atrta.smastat.stdevhft.oumath.absmath.is_namath.max
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