Book Image

Applying Math with Python - Second Edition

By : Sam Morley
Book Image

Applying Math with Python - Second Edition

By: Sam Morley

Overview of this book

The updated edition of Applying Math with Python will help you solve complex problems in a wide variety of mathematical fields in simple and efficient ways. Old recipes have been revised for new libraries and several recipes have been added to demonstrate new tools such as JAX. You'll start by refreshing your knowledge of several core mathematical fields and learn about packages covered in Python's scientific stack, including NumPy, SciPy, and Matplotlib. As you progress, you'll gradually get to grips with more advanced topics of calculus, probability, and networks (graph theory). Once you’ve developed a solid base in these topics, you’ll have the confidence to set out on math adventures with Python as you explore Python's applications in data science and statistics, forecasting, geometry, and optimization. The final chapters will take you through a collection of miscellaneous problems, including working with specific data formats and accelerating code. By the end of this book, you'll have an arsenal of practical coding solutions that can be used and modified to solve a wide range of practical problems in computational mathematics and data science.
Table of Contents (13 chapters)

Forecasting seasonal data using ARIMA

Time series often display periodic behavior so that peaks or dips in the value appear at regular intervals. This behavior is called seasonality in the analysis of time series. The methods we have used thus far in this chapter to model time series data obviously do not account for seasonality. Fortunately, it is relatively easy to adapt the standard ARIMA model to incorporate seasonality, resulting in what is sometimes called a SARIMA model.

In this recipe, we will learn how to model time series data that includes seasonal behavior and use this model to produce forecasts.

Getting ready

For this recipe, we will need the NumPy package imported as np, the Pandas package imported as pd, the Matplotlib pyplot module as plt, and the statsmodels api module imported as sm. We will also need the utility for creating sample time series data from the tsdata module, which is included in this book’s repository:

from tsdata import generate_sample_data...