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Building Statistical Models in Python

You're reading from  Building Statistical Models in Python

Product type Book
Published in Aug 2023
Publisher Packt
ISBN-13 9781804614280
Pages 420 pages
Edition 1st Edition
Languages
Concepts
Authors (3):
Huy Hoang Nguyen Huy Hoang Nguyen
Profile icon Huy Hoang Nguyen
Paul N Adams Paul N Adams
Profile icon Paul N Adams
Stuart J Miller Stuart J Miller
Profile icon Stuart J Miller
View More author details

Table of Contents (22) Chapters

Preface Part 1:Introduction to Statistics
Chapter 1: Sampling and Generalization Chapter 2: Distributions of Data Chapter 3: Hypothesis Testing Chapter 4: Parametric Tests Chapter 5: Non-Parametric Tests Part 2:Regression Models
Chapter 6: Simple Linear Regression Chapter 7: Multiple Linear Regression Part 3:Classification Models
Chapter 8: Discrete Models Chapter 9: Discriminant Analysis Part 4:Time Series Models
Chapter 10: Introduction to Time Series Chapter 11: ARIMA Models Chapter 12: Multivariate Time Series Part 5:Survival Analysis
Chapter 13: Time-to-Event Variables – An Introduction Chapter 14: Survival Models Index Other Books You May Enjoy

Models for stationary time series

In this section, we will discuss Autoregressive (AR), Moving Average (MA), and Autoregressive Moving Average (ARMA) models that are useful for stationary data. These models are useful when modeling patterns and variance around process means that output over time. When we have data that does not exhibit autocorrelation, we can use statistical and machine learning models that do not make assumptions about time, such as Logistic Regression or Naïve Bayes, so long as the data supports such use cases.

Autoregressive (AR) models

The AR(p) model

In Chapter 10, Introduction to Time Series we considered how the Partial Auto-Correlation Function (PACF) correlates one data point to another lag, controlling for those lags between. We also discussed how inspection of the PACF plot is a frequently used method for assessing the ordering of an autoregressive model. Thereto, the autoregressive model is one that considers specific points in the past to...

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