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Time Series Analysis in R

Intermediate

Updated 12/2024

Learn the core techniques necessary to extract meaningful insights from time series data.

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RProbability & Statistics4 hours16 videos58 exercises4,600 XP57,218Statement of Accomplishment

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Course Description

Many phenomena in our day-to-day lives, such as the movement of stock prices, are measured in intervals over a period of time. Time series analysis methods are extremely useful for analyzing these special data types. In this course, you will be introduced to some core time series analysis concepts and techniques.

Prerequisites

1

Exploratory time series data analysis

Welcome to the course!

Exploring raw time series

Basic time series plots

What does the time index tell us?

Sampling frequency

Identifying the sampling frequency

When is the sampling frequency exact?

Missing values

Basic time series objects

Creating a time series object with ts()

Testing whether an object is a time series

Plotting a time series object

2

Predicting the future

Trend spotting!

Random or not random?

Name that trend

Removing trends in variability via the logarithmic transformation

Removing trends in level by differencing

Removing seasonal trends with seasonal differencing

The white noise (WN) model

Simulate the white noise model

Estimate the white noise model

The random walk (RW) model

Simulate the random walk model

Simulate the random walk model with a drift

Estimate the random walk model

Stationary processes

Stationary or not?

Are the white noise model or the random walk model stationary?

3

Correlation analysis and the autocorrelation function

Scatterplots

Asset prices vs. asset returns

Characteristics of financial time series

Plotting pairs of data

Covariance and correlation

Calculating sample covariances and correlations

Guess the correlation coefficient

Autocorrelation

Calculating autocorrelations

The autocorrelation function

Visualizing the autocorrelation function

4

Autoregression

The autoregressive model

Simulate the autoregressive model

Estimate the autocorrelation function (ACF) for an autoregression

Persistence and anti-persistence

Compare the random walk (RW) and autoregressive (AR) models

AR model estimation and forecasting

Estimate the autoregressive (AR) model

Simple forecasts from an estimated AR model

5

A simple moving average

The simple moving average model

Simulate the simple moving average model

Estimate the autocorrelation function (ACF) for a moving average

MA model estimation and forecasting

Estimate the simple moving average model

Simple forecasts from an estimated MA model

Compare AR and MA models

AR vs MA models

Name that model by time series plot

Name that model by ACF plot

Congratulations!

Time Series Analysis in R

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