| MATHEMATICS (TURKISH, PHD) | |||||
| PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| MAT5019 | Applied Statistical Analysis | Fall | 3 | 0 | 3 | 12 |
| The course opens with the approval of the Department at the beginning of each semester |
| Language of instruction: | Tr |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Prof. Dr. İRİNİ DİMİTRİYADİS |
| Course Objectives: | The objective of the course is to provide the student with an understanding of the basic notions of probability and statistics and their use in solving complex realistic situations. The student will also acquire spreadsheet skills. |
|
The students who have succeeded in this course; Completing this course the student will be able to understand the use of random variables and conditional expectation in economic problem solutions, in project financing decisions and in determining company pofit, will be able to apply correlation and regression analysis to data, will know about portfolio optimization and the design of prediction models. |
| Simulation and conditional probability, discrete and continuous random variables and applications,correlation and multivariate random variables and applications, conditional expectation and linear rgeression models, simulation in decision analysis, risk sharing, dynamic models and introduction to GLM. |
| Week | Subject | Related Preparation | |
| 1) | Introduction to analyzing data on Excel,simple simulation model, conditional expectation, probability trees and Baye's rule, advanced spreadsheet techniques. | ||
| 2) | Discrete random variables, simulating discrete random variables, expected value and standard deviation, estimates from sample data, decision criteria. | ||
| 3) | Utility theory with constant risk tolerance, risk aversion, utility analysis from simulation data, certainty equivalence and risk premium. | ||
| 4) | Continuous random variables, Normal distribution, logarithmic and exponential distributions, certainty equivalents of Normal lotteries, other distribution functions. | ||
| 5) | Correlation and multivariate random variables. | ||
| 6) | Portfolio analysis with multivariate normal asset returns, Excel solver and efficient portfolio design. | ||
| 7) | Conditional expectation, Linear Regression models. | ||
| 8) | Optimization of decision variables, general techniques for using simulation in decision analysis, decision trees, analyzing competitive behavior. | ||
| 9) | Risk sharing in finance, optimal risk sharing, risk sharing under moral hazard. | ||
| 10) | Corporate Decision making and asset pricing in the stock market,fundemental ideas of arbitrage pricing theory. | ||
| 11) | Dynamic models of growth; forecasting models with time series, brownian motion growth models, log-optimal investment strategies. Applications. | ||
| 12) | Introduction to generalized linear models, link functions, estimation, testing. | ||
| 13) | Generalized linear models continued. | ||
| 14) | Review and other applications. | ||
| Course Notes: | Probability Models for Economic Decisions, Roger, B. Myerson, Duxubury Applied Series. |
| References: |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | % 0 | |
| Laboratory | % 0 | |
| Application | % 0 | |
| Field Work | % 0 | |
| Special Course Internship (Work Placement) | % 0 | |
| Quizzes | % 0 | |
| Homework Assignments | % 0 | |
| Presentation | % 0 | |
| Project | 4 | % 100 |
| Seminar | % 0 | |
| Midterms | % 0 | |
| Preliminary Jury | % 0 | |
| Final | % 0 | |
| Paper Submission | % 0 | |
| Jury | % 0 | |
| Bütünleme | % 0 | |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 0 | |
| PERCENTAGE OF FINAL WORK | % 100 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Laboratory | 0 | 0 | 0 |
| Application | 0 | 0 | 0 |
| Special Course Internship (Work Placement) | 0 | 0 | 0 |
| Field Work | 0 | 0 | 0 |
| Study Hours Out of Class | 6 | 5 | 30 |
| Presentations / Seminar | 0 | 0 | 0 |
| Project | 4 | 32 | 128 |
| Homework Assignments | 0 | 0 | 0 |
| Quizzes | 0 | 0 | 0 |
| Preliminary Jury | 0 | ||
| Midterms | 0 | 0 | 0 |
| Paper Submission | 0 | ||
| Jury | 0 | ||
| Final | 0 | 0 | 0 |
| Total Workload | 200 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |