DAMSL-211 Time series analysis

DAMSL-211 Time series analysis

Type

Elective

Course Code

DAMSL-211

Teaching Semester

B Semester

ECTS Credits

10

Student Performance Evaluation

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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