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Autoregressive Model

Definition

A statistical model that predicts future values based on past values.

Deep Dive

An Autoregressive (AR) model is a type of statistical model that predicts future values of a time series based on a linear combination of its own past values. The fundamental assumption of an AR model is that the current value of a variable is directly dependent on, and can be explained by, its preceding values plus a random error term. This "self-regressing" nature makes it particularly suitable for analyzing and forecasting data where temporal dependencies are significant and a variable's history provides strong predictive power for its future.

Examples & Use Cases

  • 1Predicting stock prices based on the previous day's or week's closing prices
  • 2Forecasting daily temperature based on historical temperature readings
  • 3Generating sequences of text where each word is predicted from the preceding words

Related Terms

Time Series AnalysisARIMA ModelForecasting

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