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Course Information

Course Name
Turkish İstatistik
English Statistics
Course Code
MAT 242 Credit Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester -
4 4 - -
Course Language Turkish
Course Coordinator Mustafa Nadar
Course Objectives This course is designed to provide the student with a solid background and understanding of the basic results and methods in mathematical statistics and related subjects.
Explain the meaning of statistical models, hypothesis testing and its main principles.
Course Description Statistical models. Main principles and theories of hypothesis testing. Parameter estimation, the likelihood function and maximum likelihood estimators. Properties of estimators: unbiased estimators; consistent estimators, Fisher information and efficient estimators, Asymptotic properties of MLE. Confidence interval and tests, Optimal tests: randomized test; powerful test, Neyman-Pearson theorem, Uniformly most powerful test; likelihood ratio test; Sufficient statistics: definition of sufficiency, The Factorization and Fisher-Neyman criteria.Midterm, The Rao-Blackwell theorem. Minimal and complete sufficient statistics, Best unbiased estimators and the Lehmann-Scheffe theorem.Some One-sample, Two-sample and Paired models. One-way and Two-way Anova. Regression analysisRegression analysis.
Course Outcomes 1. construct a solid background and demostrate the basic results and methods in mathematical statistics and related subjects.
2. explain the fundamental concept of the likelihood function, maximum likelihood estimators and properties of estimators.
3. explain the concept of the independency of random variables, expectation and law of large numbers.
4. identify the Fisher information and efficient estimators.
5. identify the hypothesis tests, uniformly most powerful test and likelihood ratio test.
6. develop the perception of regression analysis and its usefulness.
Pre-requisite(s)
Required Facilities
Other
Textbook
Other References
 
 
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