COURSE UNIT TITLE

: TIME SERIES MODELS

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
ERA 0007 TIME SERIES MODELS ELECTIVE 4 0 0 6

Offered By

Faculty Of Science

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR BURCU HÜDAVERDI AKTAŞ

Offered to

Mathematics (English)
Computer Science
Biology
Physics
Chemistry
Statistics

Course Objective

The principal objective of the course is to give fundamental knowledge of serially dependent observations, mathematical models for such data as well as introduction and use of tools to identify and estimate such models. The course will cover time series decomposition, smoothing techniques, linear time series models; stationary ARMA and multiplicative SARMA classes, non-stationary ARIMA and multiplicative SARIMA classes. The students will have the knowledge in identifying systematic pattern of time series data and also they can apply the techniques which they have learned in this course for forecasting and long term plans. The students will use R, Minitab, SPSS statistical packages for computation, visualization, and analysis of time series data.

Learning Outcomes of the Course Unit

1   To learn the concept of time series or serially correlated observations.
2   To learn how to define and decompose time series components
3   To learn smoothing techniques for times series data
4   To be able to estimate mean, variance, correlation and partial correlation functions of a time series as a realization of stochastic process
5   To identify stationary ARMA and multiplicative SARMA classes, non-stationary ARIMA and multiplicative SARIMA classes
6   To test significance and adequacy of the time series model
7   To be able to forecast using the adequate time series model through Box-Jenkins methodology

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Characteristics of Time Series Data, stationarity/nonstationarity.
2 Components of Time series
3 Smoothing techniques: Exponential, Double Exponential Methods, Winter s Method
4 Estimating mean, variance, correlation and partial correlation functions of a time series
5 Estimating mean, variance, correlation and partial correlation functions of a time series
6 Correlogram, Autocorrelation Function, Partial Autocorrelation Function
7 Identification Nonseasonal Autoregressive-Moving Average Model ARMA(p,q)
8 Estimation, Diagnostic Checking,Forecasting ARMA(p,q) Models
9 Project Presentation 1
10 Identification Seasonal Autoregressive-Moving Average Model, SARIMA
11 Estimation, Diagnostic Checking , Forecasting Seasonal ARMA(p,q) Models
12 Improving the time series model
13 Macine learning applications in Time series analysis
14 Project Presentation 2

Recomended or Required Reading

Textbook(s):
Wei, W.W.S., 2006, Time Series Analysis, Univariate and Multivariate Methods, 2nd Edn. Pearson Bowerman
L. B., O Connell R. T. 1993 Forecasting and Time Series, 3rd Edition, Duxbury
Supplementary Book(s):
Materials:Lecture Notes

Planned Learning Activities and Teaching Methods

Lecture format, built around the textbook readings and R/SSPSS/Minitab statistical package applications with examples chosen to illustrate theoretical concepts. Applications and examples. Questions and discussion are encouraged. Lecture, project and presentation.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 PRJ PROJECT
3 FIN FINAL EXAM
4 FCGR FINAL COURSE GRADE (RESIT) VZ * 0.30 + PRJ * 0.30 + FIN * 0.40
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) VZ * 0.30 + PRJ * 0.30 + RST * 0.40


Further Notes About Assessment Methods

None

Assessment Criteria

Evaluation of project and exams

Language of Instruction

English

Course Policies and Rules

Attendance to at least 70% for the lectures is an essential requirement of this course and is the responsibility of the student. It is necessary that attendance to the lecture and homework delivery must be on time. Any unethical behaviour that occurs either in presentations or in exams will be dealt with as outlined in school policy.

Contact Details for the Lecturer(s)

Contact Details for the Instructor:
Prof. Dr. Burcu Hüdaverdi
e-mail: burcu.hudaverdi@deu.edu.tr
tel: +90-232-3018603

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 2 28
Tutorials 14 1 14
Preparations before/after weekly lectures 14 1 14
Preparation for midterm exam 1 20 20
Preparation for final exam 1 30 30
Preparing presentations 2 25 50
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 160

Contribution of Learning Outcomes to Programme Outcomes

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LO.311111212111111
LO.411112212111111
LO.511112212111111
LO.611112212111111
LO.711112212111111