Eskisehir Technical University Info Package Eskisehir Technical University Info Package
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About the Program Educational Objectives Key Learning Outcomes Course Structure Diagram with Credits Field Qualifications Matrix of Course& Program Qualifications Matrix of Program Outcomes&Field Qualifications
  • Faculty of Science
  • Department of Statistics
  • Course Structure Diagram with Credits
  • Mathematical Statistics I
  • Description
  • Description
  • Learning Outcomes
  • Course's Contribution to Prog.
  • Learning Outcomes & Program Qualifications

Course Introduction Information

Code - Course Title İST247 - Mathematical Statistics I
Course Type Required Courses
Language of Instruction Türkçe
Laboratory + Practice 4+0
ECTS 6.0
Course Instructor(s) DOÇENT ŞÜKRÜ ACITAŞ
Mode of Delivery
Prerequisites There is no prerequisite or co-requisite for this course.
Courses Recomended Probability I and Probability II
Recommended Reading List Yılmaz AKDİ, Matematiksel İstatistiğe Giriş, Gazi Kitapevi, Ankara, 2010, İsmail ERDEM, Matematiksel İstatistik, Seçkin, Ankara,2012
Assessment methods and criteria Two midterm and Final exams
Work Placement N/A
Sustainability Development Goals

Content

Weeks Topics
Week - 1 Vector of random variables and distributions of random vectors
Week - 2 Marginal and conditional distributions
Week - 3 Conditional expected value and variance
Week - 4 Bivariate normal distribution and properties
Week - 5 Distributions of functions of random variables
Week - 6 Distribution function and transformation technique
Week - 7 Moment generating technique
Week - 8 Concepts of population, parameter and estimator
Week - 9 Properties of sample mean and variance
Week - 10 Sampling distributions: Chi-Square, Student t and F distributions
Week - 11 Convergences
Week - 12 Convergence in probability, convergence almost surely and law of large numbers
Week - 13 Convergence in distribution and central limit theorem
Week - 14 Order statistics and some related sample statistics

Learning Activities and Teaching Methods

  • Teaching Methods
  • Lecture
  • Question & Answer
  • Drill - Practise
  • Problem Solving
  • Brain Storming
  • Competences
  • Productive
  • Rational
  • Questoning
  • Entrepreneur
  • Creative
  • Use time effectively
  • Problem solving
  • Elementary computing skills
  • Decision making

Assessment Methods

Assessment Method and Passing Requirements
Quamtity Percentage (%)
1.Midterm Exam 1 25
2.Midterm Exam 1 25
Final Exam 1 50
Toplam (%) 100
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