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The white noise model can be used to represent the nature of noise in a data set. For time series data, auto-correlation plots and the Ljung-Box test are two ways to test for white noise.
2.9 White noise Forecasting: Principles and Practice (3rd ed)
How to Model Residual Errors to Correct Time Series Forecasts with Python
Time Series Forecasting - ARIMA [Part 1]
Time series forecasting - Residuals not white noise - Cross Validated
White Noise Analysis: A Measure of Time Series Model Adequacy
A Guide to Time Series Forecasting in Python
6. Time Series — Bayesian Modeling and Computation in Python
a) Simulated white noise time series for 1988−2014 with monthly
White Noise Time Series with Python