TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ECONOMICS AND ADMINISTRATIVE SCIENCES |
| ECONOMETRICS PR. | |
| Code | EKMZ201 |
| Name | Mathematical Statistics |
| Term | 2020-2021 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Uzaktan Öğretim |
| Catalog Information Coordinator | Prof. Dr. EBRU ÖZGÜR GÜLER |
| Course Instructor |
Prof. Dr. EBRU ÖZGÜR GÜLER
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The objective of this course is to present techniques and basic results of probability and mathematical statistics at an introductory level and provide the basic concepts of probability and its applications to real life data through random variables to students.
Course Content
Probability, random variables, discrete and continous distributions, estimation and sampling distribution, confidence intervals and hypothesis tests.
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains basic probability concepts |
| LO02 | Calculates the probability of a random event with different approaches |
| LO03 | Describes the concept of random variables |
| LO04 | Discriminates the probability and distribution functions of random variables |
| LO05 | Calculates moments of discrete and continuos random variables |
| LO06 | Discriminates some important discrete and continuous distributions |
| LO07 | Understands the foundations of the estimation theory and its applications in real life |
| LO08 | Develops appropriate statistical hypothesis and tests them |
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 | 5 |
| 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 | 3 |
| PLO07 | - | Acquires the ability to analyze, benchmark, evaluate and interpret at conceptual levels to develop solutions to problems | 5 |
| PLO08 | - | Collects, edits, and analyzes data | 4 |
| PLO09 | - | Uses a package program of Econometrics, Statistics, and Operation Research | 0 |
| PLO10 | - | Effectively works, take responsibility, and the leadership individually or as a member of a team | 2 |
| PLO11 | - | Awareness towards life-long learning and follow-up of the new information and knowledge in the field of study | 1 |
| 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 | 2 |
| PLO13 | - | Uses Turkish and at least one other foreign language, academically and in the business context | 2 |
| PLO14 | - | Good understanding, interpretation, efficient written and oral expression of the people involved | 2 |
| 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 | 1 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Basic concepts, methods of enumeration | Textbook | |
| 2 | Probability and probability rules | Textbook | |
| 3 | Conditional probability, independent events, Bayes' theorem | Textbook | |
| 4 | Discrete probability distributions, and their expectations | Textbook | |
| 5 | Special discrete distributions | Textbook | |
| 6 | Special discrete distributions | Textbook | |
| 7 | Linear functions of independent random variables, multivariate discrete distributions | Textbook | |
| 8 | Mid-Term Exam | General review for the midterm exam | |
| 9 | Continuous Distributions, and their expectations | Textbook | |
| 10 | Some special continuous distributions | Textbook | |
| 11 | Some special continuous distributions | Textbook | |
| 12 | The normal distribution | Textbook | |
| 13 | Estimation and sampling distributions | Textbook | |
| 14 | The central limit theorem | Textbook | |
| 15 | Hypothesis testing | Textbook | |
| 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 | 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 | ||