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Learn Challenge: Simulating ARIMA Processes | Mathematical Foundations of ARIMA
Time Series Forecasting with ARIMA

bookChallenge: Simulating ARIMA Processes

Task

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Your goal is to simulate an ARIMA time series using the ArmaProcess class from statsmodels. You will generate artificial data, visualize it, and explore how the AR (p) and MA (q) parameters affect the behavior of the series.

Perform the following steps:

  1. Import the ArmaProcess class from statsmodels.tsa.arima_process.

  2. Define AR and MA parameters for an ARIMA(2,0,1) process:

    • AR coefficients = [1, -0.75, 0.25]
    • MA coefficients = [1, 0.65]
  3. Initialize an ARMA process with these parameters.

  4. Simulate 500 samples using .generate_sample(nsample=500).

  5. Plot the resulting series using matplotlib.

  6. Display the first 10 values of the generated time series.

Solution

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SectionΒ 2. ChapterΒ 4
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bookChallenge: Simulating ARIMA Processes

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Task

Swipe to start coding

Your goal is to simulate an ARIMA time series using the ArmaProcess class from statsmodels. You will generate artificial data, visualize it, and explore how the AR (p) and MA (q) parameters affect the behavior of the series.

Perform the following steps:

  1. Import the ArmaProcess class from statsmodels.tsa.arima_process.

  2. Define AR and MA parameters for an ARIMA(2,0,1) process:

    • AR coefficients = [1, -0.75, 0.25]
    • MA coefficients = [1, 0.65]
  3. Initialize an ARMA process with these parameters.

  4. Simulate 500 samples using .generate_sample(nsample=500).

  5. Plot the resulting series using matplotlib.

  6. Display the first 10 values of the generated time series.

Solution

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Everything was clear?

How can we improve it?

Thanks for your feedback!

SectionΒ 2. ChapterΒ 4
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