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Autoregressive (AR) models are statistical tools used in time series analysis to predict future values based on past observations. They operate under the principle that past behavior influences future outcomes, making them valuable for forecasting trends and patterns over time.

Applications:

  • Economics and Finance: AR models are employed to forecast stock prices, interest rates, and other economic indicators by analyzing historical data.
  • Weather Prediction: Meteorologists use AR models to estimate future weather conditions, such as temperature and precipitation, based on past climate data.
  • Signal Processing: In fields like speech and audio processing, AR models help in analyzing and predicting patterns within signals.

By leveraging historical data, autoregressive models provide a framework for understanding and forecasting time-dependent phenomena across various domains.

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