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 II
  • Description
  • Description
  • Learning Outcomes
  • Course's Contribution to Prog.
  • Learning Outcomes & Program Qualifications

Course Introduction Information

Code - Course Title İST248 - Mathematical Statistics II
Course Type Required Courses
Language of Instruction Türkçe
Laboratory + Practice 4+0
ECTS 6.0
Course Instructor(s) DOÇENT ŞÜKRÜ ACITAŞ
Mode of Delivery Face to Face
Prerequisites There is no prerequisite or co-requisite for this course.
Courses Recomended Probability I, Probability II and Mathematical Statistics
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 Quality Education , Industry, Innovation and Infrastructure , Partnerships for Purposes

Content

Weeks Topics
Week - 1 Introduction to parameter estimation
Week - 2 Properties of estimators: sufficiency and completeness
Week - 3 Properties of estimators: efficiency, unbiasedness and consistency
Week - 4 Methods of finding estimators: moment estimators
Week - 5 Methods of finding estimators: maximum likelihood estimators
Week - 6 Minimum-variance unbiased estimators
Week - 7 Cramer-Rao inequality
Week - 8 Rao-Blackwell theorem
Week - 9 Lehmann-Scheffe uniqueness theorem
Week - 10 Introduction to hypothesis testing
Week - 11 Test function, Error probabilities and power function
Week - 12 Most powerful tests: Neyman-Pearson lemma
Week - 13 Likelihood ratio tests
Week - 14 Interval estimators

Learning Activities and Teaching Methods

  • Teaching Methods
  • Lecture
  • Discussion
  • Question & Answer
  • Drill - Practise
  • Problem Solving
  • Competences
  • Productive
  • Questoning
  • Entrepreneur
  • Creative
  • Follow ethical and moral rules
  • 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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