Autoregressive model

Concept and definition

Autoregressive model

What is Autoregressive model?

An autoregressive (AR) model is a statistical model in which the variable of interest regresses on itself in a linear regression model. In other words, an AR model uses a time series to predict its own future.

In artificial intelligence and machine learning, autoregressive models are commonly used in time series analysis to predict the future value of a variable based on its past values. In this type of model, the variable of interest is decomposed into a combination of its past values and a random error term.

The order of an AR model refers to the number of past values used to predict the future value of the variable of interest. For example, an AR model of order 1 uses only one past value to predict the future value, while an AR model of order 2 uses two past values.

Autoregressive models are useful for predicting patterns and trends in time series, such as stock prices, energy consumption or web traffic. The accuracy of an AR model depends largely on the choice of the order and amount of data available for training the model.

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