TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ECONOMICS AND ADMINISTRATIVE SCIENCES |
| ECONOMETRICS PR. (ENGLISH) | |
| Code | ECMZ201 |
| Name | Mathematical Statistics |
| Term | 2021-2022 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HÜSEYİN GÜLER |
| Course Instructor |
Doç. Dr. Sibel ÖRK ÖZEL
(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 | Bilgi - Kuramsal, Olgusal | Explain the basic concepts and theorems in the fields of Econometrics, Statistics and Operations research | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquires basic Mathematics, Statistics and Operation Research concepts | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Describes the necessary concepts of Business | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Equipped with the foundations of Economics, and develops Economic models | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Models problems with Mathematics, Statistics, and Econometrics | 3 |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Analyzes/interprets at the conceptual level to develop solutions to problems | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Collects/analyses data from reliable data sources for the purpose of study | 1 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Interprets the results analyzed with the model | 2 |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | Combines the information obtained from different sources within the framework of academic rules in a field of research | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Adapts traditional approaches, practices and methods to a new study when necessary | |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Uses a package program of Econometrics, Statistics, and Operation Research | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Leads by taking responsibility individually and/or within the team | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | In addition to herself/himself professional development, constantly improves in scientific, cultural, artistic and social fields in line with interests and abilities | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Being aware of the necessity of lifelong learning, it follows the current developments in the field / constantly renews itself | |
| PLO15 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses Turkish and at least one other foreign language, academically and in the business context | |
| PLO16 | 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 | |
| PLO17 | Yetkinlikler - Alana Özgü Yetkinlik | Interprets data on current economic and social issues | |
| PLO18 | Yetkinlikler - Alana Özgü Yetkinlik | Applies social, scientific and professional ethical values |
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. Midterm Exam | 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 | ||