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# ACF: Autocorrelation Function
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| Property | Value |
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| ---------------- | -------------------------------- |
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| **Category** | Statistic |
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| **Inputs** | Source (close) |
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| **Parameters** | `period`, `lag` (default 1) |
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| **Outputs** | Single series (Acf) |
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| **Output range** | Varies (see docs) |
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| **Warmup** | `period` bars |
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### TL;DR
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- The Autocorrelation Function (ACF) measures the correlation of a time series with a lagged copy of itself.
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- Parameterized by `period`, `lag` (default 1).
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- Output range: Varies (see docs).
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- Requires `period` bars of warmup before first valid output (IsHot = true).
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- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
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> "The past doesn't predict the future, but it whispers patterns to those who listen."
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The Autocorrelation Function (ACF) measures the correlation of a time series with a lagged copy of itself. It is fundamental for identifying repeating patterns, seasonal effects, and determining the order of time series models like ARMA/ARIMA.
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@@ -159,4 +176,4 @@ A random walk should have ACF ≈ 0 at all lags. Significant ACF values indicate
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- Box, G.E.P., Jenkins, G.M. (1970). *Time Series Analysis: Forecasting and Control*. Holden-Day.
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- Hamilton, J.D. (1994). *Time Series Analysis*. Princeton University Press.
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- Yule, G.U. (1927). "On a Method of Investigating Periodicities in Disturbed Series." *Philosophical Transactions of the Royal Society*.
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- Yule, G.U. (1927). "On a Method of Investigating Periodicities in Disturbed Series." *Philosophical Transactions of the Royal Society*.
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