What is stationarity in time series and why is it important?

Updated May 15, 2026

Short answer

A stationary time series has constant mean, variance, and autocorrelation over time.

Deep explanation

Stationarity is a key assumption in many classical time series models like ARIMA. A stationary series has statistical properties that do not change over time. If a series is non-stationary, models struggle to learn consistent patterns. Techniques like differencing, log transforms, and detrending are used to achieve stationarity.

Real-world example

Economic indicators like GDP growth are often transformed to stationary form before modeling.

Common mistakes

  • Applying ARIMA directly on non-stationary data.

Follow-up questions

  • What is the ADF test?
  • How do you make a series stationary?

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