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 FACULTY of SCIENCE / DEPARTMENT of STATISTICS and COMPUTER SCIENCES Course Catalog http://www.ktu.edu.tr/isbb Phone: +90 0462 +90 (462) 3773112 FENF
FACULTY of SCIENCE / DEPARTMENT of STATISTICS and COMPUTER SCIENCES /

 IST3006 Theory of Statistics 4+0+0 ECTS:6 Year / Semester Spring Semester Level of Course First Cycle Status Elective Department DEPARTMENT of STATISTICS and COMPUTER SCIENCES Prerequisites and co-requisites None Mode of Delivery Face to face Contact Hours 14 weeks - 4 hours of lectures per week Lecturer Prof. Dr. Zafer KÜÇÜK Co-Lecturer None Language of instruction Turkish Professional practise ( internship ) None The aim of the course: Understanding the concepts of basic statistics, interpretation and application to create the link between theory and practice
 Learning Outcomes CTPO TOA Upon successful completion of the course, the students will be able to : LO - 1 : understand the concepts of the theory of statistics 2,4,5,8,10,11 1 LO - 2 : interpret the concept of statistics 2,4,5,8,10,11 1 LO - 3 : transfer the information they otained into practice 2,4,5,10,11 1 LO - 4 : establish statistical links between theory and application 2,4,5,8,10,11 1 CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome
 Contents of the Course
 Sample statistics and distributions, estimation of parameters and methods, estimations and properties, hypothesis testing, Neyman-Pierson lemma, monotone likelihood ratio, likelihood ratio and same testing.
 Course Syllabus Week Subject Related Notes / Files Week 1 Introduction, revising basic probability information Week 2 Revising Known distribution Week 3 The method of moment, maximum likelihood estimates Week 4 Likelihood principle, Bayes estimates Week 5 Invariance property Week 6 Least squares estimation Week 7 Revision and problem solving Week 8 Mid-term exam Week 9 Adequacy principle, exponential family Week 10 Some theorems Week 11 Some theorems Week 12 Completeness and applications Week 13 Efficiency, Cramer-rao lower limit Week 14 Wold's theorem and some examples Week 15 Rao-Cramer inequality, revision and problem solving Week 16 End-of-term exam
 Textbook / Material
 1 Yılmaz Akdi, Matematiksel İstatistiğe Giriş, Bıçaklar Kitapevi, 2005.