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Module 1 · Chapter 5

Autocorrelation and Serial Dependence

Part of Foundations of Mean Reversion

1
What Is Autocorrelation and Why It Matters
Autocorrelation measures the linear relationship between a time series and its delayed values. It quantifies how a past observation affects a future observation. Positive autocorrelation indicates per
6 min
2
The Autocorrelation Function (ACF) Explained
Autocorrelation measures the linear relationship between a time series and its lagged versions. It quantifies how much a past value influences a future value. This statistical property informs mean re
5 min
3
Partial Autocorrelation Function (PACF) for Lag Identification
The Partial Autocorrelation Function (PACF) measures the direct link between an observation and a past version of itself. It removes the impact of intermediate observations. This isolates the direct e
5 min
4
Negative Autocorrelation: The Signature of Mean Reversion
Negative autocorrelation is the statistical mark of mean reversion. It describes a tendency for a financial series to reverse direction. A positive return today suggests a negative return tomorrow. A
5 min
5
Ljung-Box Test for Detecting Serial Correlation
The Ljung-Box test determines if a time series shows serial correlation. It analyzes residuals from a financial model. Strong serial correlation in residuals indicates model weakness. It suggests unca
5 min
6
Durbin-Watson Statistic in Regression Residuals
The Durbin-Watson statistic identifies autocorrelation in regression residuals. Autocorrelation happens when residual errors connect with previous errors. This breaks a main assumption of ordinary lea
5 min
7
Autocorrelation Across Different Timeframes
Autocorrelation measures a security's price relationship with its past prices. This relationship changes across different timeframes. A stock might show positive autocorrelation on daily charts but ne
5 min
8
Seasonal Autocorrelation Patterns in Markets
Financial markets show predictable patterns. These patterns repeat over specific timeframes. Seasonal autocorrelation describes this. It refers to the correlation of a time series with its past values
5 min
9
Autocorrelation Decay and Half-Life Estimation
Autocorrelation measures the linear relationship between a variable's current value and its past values. In mean reversion, positive autocorrelation at short lags indicates persistence. Negative autoc
5 min
10
Using Autocorrelation to Calibrate Entry and Exit Timing
Autocorrelation measures a security's price relationship with its past values. Positive autocorrelation means past price movements predict future movements in the same direction. Negative autocorrelat
5 min