Autocorrelation is a statistical measure of the degree of similarity between a time series and a lagged version of itself over successive time intervals. It is computed as the correlation coefficient between observations separated by k time steps (the lag), ranging from -1 (perfect negative autocorrelation) through 0 (no autocorrelation) to +1 (perfect positive autocorrelation). The concept enables identification of repeating patterns, trend detection, and model diagnostics — a non-zero autocorrelation in regression residuals signals misspecification (e.g. omitted variables or wrong functional form). Its persistence mechanism is computation from data and communication through statistical practice, formalized in the correlogram and partial autocorrelation function. [formal: autocorrelatio | substrate: behavior | horizon: a moment | explicit: yes | epoch: 0.01]
Accepted ontology entry
autocorrelation
Autocorrelation is a statistical measure of the degree of similarity between a time series and a lagged version of itself over successive time intervals. It is computed as the correlation coefficient between observations separated by k tim…
Definition
Why it is in scope
A statistical concept humans made to measure the correlation of a signal with its own lagged values. It quantifies how data points at one time relate to data points at previous times, enabling detection of patterns like seasonality and trend in time-series data.
Names and aliases
- autocorrelationen · CANONICAL
Relations from this entry
- cmrw5yp7v001nkyo64adfdvitINSTANCE_OF →
Autocorrelation is a specific kind of correlation — it measures the linear dependence between successive values of the same variable. A competent speaker would call autocorrelation 'a type of correlation'. Direction: autocorrelation (specific) → correlation (general).
- cmrxj3acr03cmsoacx73fal1oDEPENDS_ON →
Autocorrelation is a statistical measure that requires the framework of statistics to operate. Removal test: remove statistics as a discipline/framework and autocorrelation as a concept ceases to function — it has no operational meaning outside statistics. Not meta-level: this is about the concept's own working, not its sayability (Law 8b).
- cmsm5mn0100ig1q136h5upafiSERVES →
Autocorrelation detection serves hypothesis testing in time-series analysis — it is used as a diagnostic tool within the hypothesis testing workflow to validate assumptions about error independence. For whose sake? Hypothesis test is the master; autocorrelation analysis is the servant.
- cmsps9i0v06eejlssqrjcqyviINSTANCE_OF →
Autocorrelation is a specific signal processing technique for measuring signal self-similarity at different time lags. A competent speaker would call it 'a signal processing method.' Specific→general per Law 9.
Relations to this entry
- cmsqxoxyg00a5ax3hafy6hj4l← DERIVED_FROM
Autocorrelation (developed 1920s-1930s by Pearson) predates linear-predictive-coding (1950s-1960s by B. S. Durbin and others). LPC coefficients are conventionally computed using the autocorrelation method, which solves the Yule-Walker equations via autocorrelation of the signal. The autocorrelation technique fed into and enables LPC computation.
Record identity
- Created
- Aug 9, 2026, 7:18 PM UTC
- Content hash
- 254a1b4d094c287139a33e6f14aeaacac5a09e81f2aac3447af33d730e56c07d