IEM762 Simulation

6 ECTS - 3-0 Duration (T+A)- . Semester- 3 National Credit

Information

Code IEM762
Name Simulation
Term 2024-2025 Academic Year
Semester . Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Yüksek Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. HÜSEYİN GÜLER


Course Goal / Objective

The aim of this course is to provide the students with the knowledge of simulation that is necessary in statistics and econometrics. It is difficult to solve some problems in these fields analytically. To solve these problems, the simulation method which includes a virtual experiment can be used. In this context, the definition and contents of simulation, techniques used in simulation and mathematical modelling is considered. It is also necessary to use a programming language to simulate an event with a mathematical model. Therefore, the logic behind the alghoritms and MATLAB program is also discussed in the course. Following these topics, Monte Carlo models of some events are investigated to gain practice for students.

Course Content

The course covers random number generators, inverse transform method, simulation in some discrete and continuous distributions, virtual experiment, Monte Carlo estimation, Monte Carlo estimates for moments, Monte Carlo integration, estimating probabilities with Monte Carlo, estimating the size and power of a test, finding critical values with Monte Carlo, simulation in regression models, simulation in time series, the bootstrap method.

Course Precondition

None

Resources

İstatistiksel Simülasyon Ders Notları, Dr. Hüseyin GÜLER, Adana, 2015.

Notes

Benzetim, Çevirenler: Mustafa Yavuz Ata, M. Akif Bakır, Osman Ufuk Ekiz, Nobel Kitabevi, 2015. Matematiksel Modelleme ve Simülasyon, Fikri ÖZTÜRK, Levent ÖZBEK, Gazi Kitabevi, Ankara, 2004. A Course in Simulation, Sheldon M. Ross, Macmillan, New York, 1990. Simulation: A Statistical Perspective, J. P.C. Kleijnen ve W. van Groenendaal, John Wiley, 1992. Simulation Modelling & Analysis, A. Law ve W. Kelton, McGraw-Hill, 1991. An Introduction to the Bootstrap, B. Efron ve R.J. Tibshirani, Chapman & Hall, 1993.


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Creates the mathematical model of an event
LO02 Writes an algorithm to solve the mathematical model with simulation
LO03 Codes the written algorithm in a programming language
LO04 Chooses virtual samples from the distribution of random variables
LO05 Defines the consistent Monte carlo estimators of the model parameters
LO06 Obtains Monte Carlo estimates for parameters
LO07 Performs a bootstrap to estimate model parameters


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Explains contemporary concepts about Econometrics, Statistics, and Operation Research 5
PLO02 Bilgi - Kuramsal, Olgusal Explains relationships between acquired knowledge about Econometrics, Statistics, and Operation Research 4
PLO03 Bilgi - Kuramsal, Olgusal Explains how to apply acquired knowledge in the field to Economics, Business, and other social sciences
PLO04 Beceriler - Bilişsel, Uygulamalı Performs conceptual analysis to develop solutions to problems
PLO05 Beceriler - Bilişsel, Uygulamalı Models problems with Mathematics, Statistics, and Econometrics 5
PLO06 Beceriler - Bilişsel, Uygulamalı Interprets the results obtained from the most appropriate method to predict the model 4
PLO07 Beceriler - Bilişsel, Uygulamalı Synthesizes the information obtained by using different sources within the framework of academic rules in a field that does not research
PLO08 Beceriler - Bilişsel, Uygulamalı Uses acquired knowledge in the field to determine the vision, aim, and goals for an organization/institution
PLO09 Beceriler - Bilişsel, Uygulamalı Searches for new approaches and methods to solve problems being faced
PLO10 Beceriler - Bilişsel, Uygulamalı Presents analysis results conveniently
PLO11 Beceriler - Bilişsel, Uygulamalı Collects/analyzes data in a purposeful way
PLO12 Yetkinlikler - İletişim ve Sosyal Yetkinlik Converts its findings into a master's thesis or a professional report in Turkish or a foreign language
PLO13 Beceriler - Bilişsel, Uygulamalı Develops solutions for organizations using Econometrics, Statistics, and Operation Research 4
PLO14 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Performs an individual work to solve a problem with Econometrics, Statistics, and Operation Research 4
PLO15 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Leads by taking responsibility individually and/or within the team
PLO16 Yetkinlikler - Öğrenme Yetkinliği Being aware of the necessity of lifelong learning, it constantly renews itself by following the current developments in the field of study
PLO17 Yetkinlikler - İletişim ve Sosyal Yetkinlik Uses a package program of Econometrics, Statistics, and Operation Research or writes a new code 5
PLO18 Yetkinlikler - İletişim ve Sosyal Yetkinlik Interprets the feelings, thoughts and behaviors of the related persons correctly/expresses himself/herself correctly in written and verbal form
PLO19 Yetkinlikler - Alana Özgü Yetkinlik Interprets data on economic and social events by following current issues
PLO20 Yetkinlikler - Alana Özgü Yetkinlik Applies social, scientific and professional ethical values


Week Plan

Week Topic Preparation Methods
1 Basic concepts, a review of probability and random variables A review of probability and random variables from some reference books Öğretim Yöntemleri:
Anlatım
2 Probability-integral transformation and random number generators Lecture notes, reference books Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
3 Inverse transformation method, simulation in some discrete and continuous distributions Lecture notes, reference books Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Benzetim, Problem Çözme
4 Simulation in some discrete and continuous distributions Lecture notes, reference books Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Benzetim
5 Virtual experiment, Monte Carlo estimation Lecture notes, reference books, Paper: Usta, Cirak ve Hileli Zar Öğretim Yöntemleri:
Anlatım, Tartışma, Benzetim, Problem Çözme
6 Monte Carlo estimates of moments Lecture notes, reference books Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Benzetim
7 Monte Carlo integration Lecture notes, reference books Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Benzetim, Problem Çözme
8 Mid-Term Exam A review for the exam Ölçme Yöntemleri:
Proje / Tasarım
9 Estimating probabilities with Monte Carlo experiment Lecture notes, reference books Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Benzetim
10 Monte Carlo estimate of the parameter pi Lecture notes, reference books Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Benzetim
11 Estimate of the size and power of a test Lecture notes, reference books Öğretim Yöntemleri:
Anlatım, Benzetim, Problem Çözme
12 Finding critical values with Monte Carlo method Lecture notes, reference books Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Benzetim, Problem Çözme
13 Simulation in a regression model Lecture notes, reference books Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Benzetim, Problem Çözme
14 Simulation in time series Lecture notes, reference books Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Benzetim, Problem Çözme
15 Bootstrapping Lecture notes, reference books Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Benzetim, Problem Çözme
16 Term Exams A review for the exam Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams A review for the exam Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
Out of Class Study (Preliminary Work, Practice) 14 5 70
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 15 15
Final Exam 1 30 30
Total Workload (Hour) 157
Total Workload / 25 (h) 6,28
ECTS 6 ECTS

Update Time: 09.05.2024 04:21