EKMZ201 Mathematical Statistics

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

Information

Code EKMZ201
Name Mathematical Statistics
Term 2024-2025 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
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. EBRU ÖZGÜR GÜLER
Course Instructor Arş.Gör.Dr. Çiğdem KOŞAR TAŞ (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

None

Resources

Matematiksel İstatistik, Prof. Dr. Mustafa Aytaç, Ezgi Kitabevi, ISBN: 9789757763680, Genişletilmiş 6. Baskı, 2017

Notes

Olasılık ve İstatistik, Fikri AKDENİZ, Nobel Yayınevi, 2017.


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 3
PLO02 Bilgi - Kuramsal, Olgusal Acquires basic Mathematics, Statistics and Operation Research concepts 5
PLO03 Bilgi - Kuramsal, Olgusal Describes the necessary concepts of Business 1
PLO04 Beceriler - Bilişsel, Uygulamalı Equipped with the foundations of Economics, and develops Economic models 1
PLO05 Beceriler - Bilişsel, Uygulamalı Models problems with Mathematics, Statistics, and Econometrics 4
PLO06 Beceriler - Bilişsel, Uygulamalı Has the ability to analyze/interpret at the conceptual level to develop solutions to problems 3
PLO07 Beceriler - Bilişsel, Uygulamalı Collects/analyses data 4
PLO08 Beceriler - Bilişsel, Uygulamalı Interprets the results analyzed with the model 4
PLO09 Beceriler - Bilişsel, Uygulamalı Combines the information obtained from different sources within the framework of academic rules in a field which does not research
PLO10 Beceriler - Bilişsel, Uygulamalı It develops traditional approaches, practices and methods into new working methods when it deems necessary
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Leads by taking responsibility individually and/or within the team
PLO12 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
PLO13 Yetkinlikler - Öğrenme Yetkinliği Being aware of the necessity of lifelong learning, it constantly renews itself by following the current developments in its field.
PLO14 Yetkinlikler - İletişim ve Sosyal Yetkinlik Uses a package program of Econometrics, Statistics, and Operation Research
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 3
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 Öğretim Yöntemleri:
Anlatım, Tartışma
2 Probability and probability rules Textbook Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
3 Conditional probability, independent events, Bayes' theorem Textbook Öğretim Yöntemleri:
Anlatım, Problem Çözme
4 Discrete probability distributions, and their expectations Textbook Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
5 Special discrete distributions - 1 Textbook Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
6 Special discrete distributions - 2 Textbook Öğretim Yöntemleri:
Anlatım
7 Linear functions of independent random variables, multivariate discrete distributions Textbook Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Problem Çözme
8 Mid-Term Exam General review for the midterm exam Ölçme Yöntemleri:
Yazılı Sınav
9 Continuous Distributions, and their expectations Textbook Öğretim Yöntemleri:
Anlatım
10 Some special continuous distributions - 1 Textbook Öğretim Yöntemleri:
Anlatım
11 Some special continuous distributions - 2 Textbook Öğretim Yöntemleri:
Anlatım
12 The normal distribution Textbook Öğretim Yöntemleri:
Anlatım
13 Estimation and sampling distributions Textbook Öğretim Yöntemleri:
Anlatım
14 The central limit theorem Textbook Öğretim Yöntemleri:
Anlatım
15 Hypothesis testing Textbook Öğretim Yöntemleri:
Anlatım
16 Term Exams General review for the final exam Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams General review for the final 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: 08.05.2024 11:37