TÜRKÇE
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Information
| Unit | FACULTY OF ECONOMICS AND ADMINISTRATIVE SCIENCES |
| ECONOMETRICS PR. | |
| Code | EKMS405 |
| Name | Statistical Simulation |
| Term | 2021-2022 Academic Year |
| Semester | 7. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | E Elective |
| Mode of study | Uzaktan Öğretim |
| Catalog Information Coordinator | Prof. Dr. HÜSEYİN GÜLER |
| Course Instructor |
Prof. Dr. HÜSEYİN GÜLER
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim of this course is to provide students with the knowledge of modelling analytically difficult problems encountered in Statistics. In addition to this, it is also aimed to bring the knowledge of obtaining an empirical solution of the problem with a simulation by creating a virtual experiment.
Course Content
The definition and objective of simulation, techniques for simulation, mathematical modelling, programming in MATLAB, Monte Carlo estimation of a parameter of interest.
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Students will be able to determine the difference between classical sampling approaches and simulation. |
| LO02 | Students will be able to generate random numbers from the uniform distribution within range (0,1) with random number generators. |
| LO03 | Students will be able to determine how they can generate random numbers from a distribution with probability integral transformation. |
| LO04 | Students will be able to model a real life phenomena with random variables. |
| LO05 | Students will be able to determine how they can estimate the model parameters with simulation. |
| LO06 | Students will be able to estimate the parameters of a large scale problem with simulations by using MATLAB. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Explains Econometric concepts | 3 |
| PLO02 | - | Acquires basic Mathematics, Statistics and Operation Research concepts | 4 |
| PLO03 | - | Equipped with the foundations of Economics, and develops Economic models | 0 |
| PLO04 | - | Describes the necessary concepts of Business | 0 |
| PLO05 | - | Models problems with Mathematics, Statistics, and Econometrics | 5 |
| PLO06 | - | Estimates the model consistently and analyzes & interprets its results | 4 |
| PLO07 | - | Acquires the ability to analyze, benchmark, evaluate and interpret at conceptual levels to develop solutions to problems | 3 |
| PLO08 | - | Collects, edits, and analyzes data | 4 |
| PLO09 | - | Uses a package program of Econometrics, Statistics, and Operation Research | 5 |
| PLO10 | - | Effectively works, take responsibility, and the leadership individually or as a member of a team | 4 |
| PLO11 | - | Awareness towards life-long learning and follow-up of the new information and knowledge in the field of study | 0 |
| PLO12 | - | Develops the ability of using different resources in the form of academic rules, synthesis the information gathered, and effective presentation in an area which has not been studied | 3 |
| PLO13 | - | Uses Turkish and at least one other foreign language, academically and in the business context | 3 |
| PLO14 | - | Good understanding, interpretation, efficient written and oral expression of the people involved | 3 |
| PLO15 | - | Improves himself/herself constantly by defining educational requirements considering interests and talents in scientific, cultural, art and social fields besides career development | 0 |
| PLO16 | - | Questions traditional approaches and their implementation while developing alternative study programs when required | 3 |
| PLO17 | - | Recognizes and implements social, scientific, and professional ethic values | 0 |
| PLO18 | - | Follows actuality, and interprets the data about economic and social events | 0 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Definitions and a review of probability and random variables | Lecture notes: Chapter 1 | |
| 2 | Random number generators | Lecture notes: Chapter 2, Reference book: p.123-140 and p.147-157 | |
| 3 | Simulating from some distributions | Lecture notes: Chapters 3.1 to 3.3, Reference book: Chapters 3.1, 3.5 and 3.6 | |
| 4 | Simulating from some distributions | Lecture notes: Chapters 3.1 to 3.3, Reference book: Chapters 3.1, 3.5 and 3.6 | |
| 5 | Algorithms and MATLAB | Lecture notes: Chapter 4 | |
| 6 | Generating random numbers and simulating some distributions with MATLAB | Lecture notes: Chapter 4 | |
| 7 | Monte Carlo experiment and simulation, Parameter estimation with simulation | Lecture notes: Chapters 5.1 to 5.3, Reference book: p.246-250 | |
| 8 | Mid-Term Exam | General review for the midterm exam | |
| 9 | Estimation of a parameter with simulation | Lecture notes: Chapter 5 | |
| 10 | Estimation of a parameter with simulation | Lecture notes: Chapter 5 | |
| 11 | Applications of simulation 1: Estimation of a parameter, estimation of a probability | Reference book: p.250-261 | |
| 12 | Applications of simulation 2: Estimation of a probability, hypothesis testing | Reference book: p.250-261 | |
| 13 | Applications of simulation 3: Hypothesis testing, simulating a regression equation | Lecture notes: Chapter 5 | |
| 14 | Applications of simulation 4: Simulating a regression equation, Monte Carlo Integral | Lecture notes: Chapter 5 | |
| 15 | Applications of simulation 5: Monte Carlo Integral | Lecture notes: Chapter 5 | |
| 16 | Term Exams | General review for the final exam | |
| 17 | Term Exams | General review for the final exam |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Homework | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||