Homework and/or Lab assignments, Final Exam and/or project
Prerequisite Courses
Calculus I, Linear Algebra I, Probabilities
Syllabus
The course presents predictive models for time series. The first part f the course presents Time Series Regression whereas the second part focuses on ARIMA models. R software (the lingua franca of Statistics) is utilized throughout the course, in a wide variety of examples, based on real and simulated data.
Linear Regression with One Predictor; Inference in Regression and Correlation
Diagnostics and Remedial Measures; Simultaneous Inferences
Matrix Approach to Linear Regression; Multiple Regression
Models for Quantitative and Qualitative Predictors; Model Selection and Validation; Diagnostics
Weighted Least Squares; Serial Correlation
Exploratory Analysis of Time Series Data; Time Series Regression
Stationarity
ARMA models
ARMA model Identification and Maximum Likelihood Estimation
Forecasting with ARMA models
ARIMA and seasonal models
Multivariate Time Series
Forecasting Experiments; Rolling-Window Estimation and Evaluation
Learning Outcomes
Upon successful completion of this course students will develop an in-depth understanding of linear regression and ARIMA models.
Students will have learned alternative ARIMA and time series regression model-building strategies, depending on the number of available predictors.
Students will gain hands-on experience in classic (e.g. exploratory analyses, diagnostic checks) and modern topics (e.g. cross-validation, quantile regression, penalized estimation) by analyzing real (or simulated) datasets using statistical software.
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