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.
Example of time series (TS). (a) Gaussian white noise (strictly
5.1 The linear model Forecasting: Principles and Practice (2nd ed)
Multivariate Time Series Analysis for Forecasting & Modeling
Time series modeling: starting with white noise
Chapter 1 Introduction to Time Series
How (not) to use Machine Learning for time series forecasting: Avoiding the pitfalls
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Time series forecasting - Residuals not white noise - Cross Validated