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Foundational Proof

Derivation of the Autocorrelation Function (ACF) for a White Noise Process

Students often confuse 'uncorrelated' with 'independent', which is true for Gaussian white noise but not generally. Another pitfall is forgetting the standardization step (dividing by variance) when moving from autocovariance to autocorrelation, leading to incorrect ρ0 \rho_0 values.
Institutional Reference: Time Series Analysis
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