A Complete Introduction To Time Series Analysis (with R):: SARIMA models

Hair Parra
Analytics Vidhya
Published in
7 min readFeb 27, 2021

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In the last article, we saw one important useful extension to the ARMA models: the Autoregressive Integrated Moving Average or ARIMA models, which formalize and integrate the differencing factor into the model. This time, we will see yet another very useful extension: seasonal component with the SARIMA models. But before we jump into the main topic, let’s recall the equation formulation of the ARMA(p,q) models in summation and operator forms.

Autoregressive and Moving Average Operators

ARMA(p,q) processes

SARIMA Operators

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Hair Parra
Analytics Vidhya

Data Scientist & Data Engineer. CS, Stats & Linguistics graduate. Polyglot.