Time Series Analysis 1 – Identifying Structure

In this article we tackle a generated set of progressively more complex time series datasets. From a random series to an ARIMA series with seasonality as well as a series with a structural change. For each of these time series we apply the traditional techniques used in time series analysis to ascertain the underlying structure. In a follow up article we will make the final step to use what we've learned to forecast into the future.

Naive Bayes

Let’s focus on this table. Subscript, , is used to represent the feature/dimension. Superscript, , is used to represent the observation (here the observation). First, we make some basic assertions about the data. Distributions Each has a Categorical distribution: (1) The following is equivalent: (2) , and is the probability…