Course ID: | ECON 4760/6760. 3 hours. |
Course Title: | Time Series Analysis |
Course Description: | An introduction to the statistical analysis of time series data.
Focus is on fundamental models of time series processes and how
these models can be used for forecasting and influence. Although
some statistical theory is necessary and will be developed, the
main thrust involves applying models to the data. Because data
analysis will rely on the R statistical programming language,
the basics of that language will also be covered. |
Oasis Title: | Time Series Analysis |
Undergraduate Prerequisite: | ECON(MARK) 4750/6750 |
Graduate Prerequisite: | ECON(MARK) 4750/6750 |
Semester Course Offered: | Offered every year. |
Grading System: | A-F (Traditional) |
|
Course Objectives: | After successfully completing the course, students will
1. understand the fundamental difference between time series
processes and cross-sectional data;
2. know the basic concepts of time series processes and how to
apply these concepts to time series data;
3. know how to specify and estimate autoregressive-moving
average (ARMA) models and how to use such models for forecasting;
4. know how to specify and estimate models of time-varying
conditional variance;
5. understand the implications for modeling and forecasting of
non-stationary processes;
6. know how to estimate and specify multivariate time series
models of stationary and non-stationary processes;
7. know when to consider and apply simple non-linear time
series models;
8. have a working knowledge of the R programming language. |
Topical Outline: | 1. Preliminaries
a. Introduction to time series
i. time-series versus cross-section samples
ii. stochastic processes
iii. time series models
iv. forecasting and inference
b. Fundamental concepts in time series analysis
i. sequences and convergence
ii. stationarity and ergodicity
iii. auto-correlation, serial independence, and white
noise
iv. review of linear regression with time series
samples
2. Univariate time series models
a. ARMA models
i. AR models and stationarity conditions
ii. MA models and impulse response functions
iii. specification and estimation
iv. forecasting
b. Time-varying volatility (GARCH) models
c. Univariate models of non-stationary processes
i. deterministic trends
ii. stochastic trends, unit roots, and ARIMA models
3. Multivariate time series models
a. VAR models
i. notation and the nature of multivariate extensions
ii. specification and estimation
iii. innovation accounting
iv. forecasting
b. Multivariate models of non-stationary processes
i. cointegration
ii. vector-error-correction models
4. Non-linear time series
a. implications of non-linearity
b. the bilinear model
c. threshold AR models |
Honor Code Reference: | UGA Student Honor Code: "I will be academically honest in all
of my academic work and will not tolerate academic dishonesty
of others." A Culture of Honesty, the University's policy and
procedures for handling cases of suspected dishonesty, can be
found at www.uga.edu/ovpi. |